@inproceedings{188, abstract = {Smallest enclosing spheres of finite point sets are central to methods in topological data analysis. Focusing on Bregman divergences to measure dissimilarity, we prove bounds on the location of the center of a smallest enclosing sphere. These bounds depend on the range of radii for which Bregman balls are convex.}, author = {Edelsbrunner, Herbert and Virk, Ziga and Wagner, Hubert}, location = {Budapest, Hungary}, pages = {35:1 -- 35:13}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Smallest enclosing spheres and Chernoff points in Bregman geometry}}, doi = {10.4230/LIPIcs.SoCG.2018.35}, volume = {99}, year = {2018}, } @article{19, abstract = {Bacteria regulate genes to survive antibiotic stress, but regulation can be far from perfect. When regulation is not optimal, mutations that change gene expression can contribute to antibiotic resistance. It is not systematically understood to what extent natural gene regulation is or is not optimal for distinct antibiotics, and how changes in expression of specific genes quantitatively affect antibiotic resistance. Here we discover a simple quantitative relation between fitness, gene expression, and antibiotic potency, which rationalizes our observation that a multitude of genes and even innate antibiotic defense mechanisms have expression that is critically nonoptimal under antibiotic treatment. First, we developed a pooled-strain drug-diffusion assay and screened Escherichia coli overexpression and knockout libraries, finding that resistance to a range of 31 antibiotics could result from changing expression of a large and functionally diverse set of genes, in a primarily but not exclusively drug-specific manner. Second, by synthetically controlling the expression of single-drug and multidrug resistance genes, we observed that their fitness-expression functions changed dramatically under antibiotic treatment in accordance with a log-sensitivity relation. Thus, because many genes are nonoptimally expressed under antibiotic treatment, many regulatory mutations can contribute to resistance by altering expression and by activating latent defenses.}, author = {Palmer, Adam and Chait, Remy P and Kishony, Roy}, issn = {0737-4038}, journal = {Molecular Biology and Evolution}, number = {11}, pages = {2669 -- 2684}, publisher = {Oxford University Press}, title = {{Nonoptimal gene expression creates latent potential for antibiotic resistance}}, doi = {10.1093/molbev/msy163}, volume = {35}, year = {2018}, } @article{190, abstract = {The German cockroach, Blattella germanica, is a worldwide pest that infests buildings, including homes, restaurants, and hospitals, often living in unsanitary conditions. As a disease vector and producer of allergens, this species has major health and economic impacts on humans. Factors contributing to the success of the German cockroach include its resistance to a broad range of insecticides, immunity to many pathogens, and its ability, as an extreme generalist omnivore, to survive on most food sources. The recently published genome shows that B. germanica has an exceptionally high number of protein coding genes. In this study, we investigate the functions of the 93 significantly expanded gene families with the aim to better understand the success of B. germanica as a major pest despite such inhospitable conditions. We find major expansions in gene families with functions related to the detoxification of insecticides and allelochemicals, defense against pathogens, digestion, sensory perception, and gene regulation. These expansions might have allowed B. germanica to develop multiple resistance mechanisms to insecticides and pathogens, and enabled a broad, flexible diet, thus explaining its success in unsanitary conditions and under recurrent chemical control. The findings and resources presented here provide insights for better understanding molecular mechanisms that will facilitate more effective cockroach control.}, author = {Harrison, Mark and Arning, Nicolas and Kremer, Lucas and Ylla, Guillem and Belles, Xavier and Bornberg Bauer, Erich and Huylmans, Ann K and Jongepier, Evelien and Puilachs, Maria and Richards, Stephen and Schal, Coby}, journal = {Journal of Experimental Zoology Part B: Molecular and Developmental Evolution}, pages = {254--264}, publisher = {Wiley}, title = {{Expansions of key protein families in the German cockroach highlight the molecular basis of its remarkable success as a global indoor pest}}, doi = {10.1002/jez.b.22824}, volume = {330}, year = {2018}, } @article{192, abstract = {The phytohormone auxin is the information carrier in a plethora of developmental and physiological processes in plants(1). It has been firmly established that canonical, nuclear auxin signalling acts through regulation of gene transcription(2). Here, we combined microfluidics, live imaging, genetic engineering and computational modelling to reanalyse the classical case of root growth inhibition(3) by auxin. We show that Arabidopsis roots react to addition and removal of auxin by extremely rapid adaptation of growth rate. This process requires intracellular auxin perception but not transcriptional reprogramming. The formation of the canonical TIR1/AFB-Aux/IAA co-receptor complex is required for the growth regulation, hinting to a novel, non-transcriptional branch of this signalling pathway. Our results challenge the current understanding of root growth regulation by auxin and suggest another, presumably non-transcriptional, signalling output of the canonical auxin pathway.}, author = {Fendrych, Matyas and Akhmanova, Maria and Merrin, Jack and Glanc, Matous and Hagihara, Shinya and Takahashi, Koji and Uchida, Naoyuki and Torii, Keiko U and Friml, Jirí}, journal = {Nature Plants}, number = {7}, pages = {453 -- 459}, publisher = {Springer Nature}, title = {{Rapid and reversible root growth inhibition by TIR1 auxin signalling}}, doi = {10.1038/s41477-018-0190-1}, volume = {4}, year = {2018}, } @inproceedings{193, abstract = {We show attacks on five data-independent memory-hard functions (iMHF) that were submitted to the password hashing competition (PHC). Informally, an MHF is a function which cannot be evaluated on dedicated hardware, like ASICs, at significantly lower hardware and/or energy cost than evaluating a single instance on a standard single-core architecture. Data-independent means the memory access pattern of the function is independent of the input; this makes iMHFs harder to construct than data-dependent ones, but the latter can be attacked by various side-channel attacks. Following [Alwen-Blocki'16], we capture the evaluation of an iMHF as a directed acyclic graph (DAG). The cumulative parallel pebbling complexity of this DAG is a measure for the hardware cost of evaluating the iMHF on an ASIC. Ideally, one would like the complexity of a DAG underlying an iMHF to be as close to quadratic in the number of nodes of the graph as possible. Instead, we show that (the DAGs underlying) the following iMHFs are far from this bound: Rig.v2, TwoCats and Gambit each having an exponent no more than 1.75. Moreover, we show that the complexity of the iMHF modes of the PHC finalists Pomelo and Lyra2 have exponents at most 1.83 and 1.67 respectively. To show this we investigate a combinatorial property of each underlying DAG (called its depth-robustness. By establishing upper bounds on this property we are then able to apply the general technique of [Alwen-Block'16] for analyzing the hardware costs of an iMHF.}, author = {Alwen, Joel F and Gazi, Peter and Kamath Hosdurg, Chethan and Klein, Karen and Osang, Georg F and Pietrzak, Krzysztof Z and Reyzin, Lenoid and Rolinek, Michal and Rybar, Michal}, booktitle = {Proceedings of the 2018 on Asia Conference on Computer and Communication Security}, location = {Incheon, Republic of Korea}, pages = {51 -- 65}, publisher = {ACM}, title = {{On the memory hardness of data independent password hashing functions}}, doi = {10.1145/3196494.3196534}, year = {2018}, } @article{194, abstract = {Ants are emerging model systems to study cellular signaling because distinct castes possess different physiologic phenotypes within the same colony. Here we studied the functionality of inotocin signaling, an insect ortholog of mammalian oxytocin (OT), which was recently discovered in ants. In Lasius ants, we determined that specialization within the colony, seasonal factors, and physiologic conditions down-regulated the expression of the OT-like signaling system. Given this natural variation, we interrogated its function using RNAi knockdowns. Next-generation RNA sequencing of OT-like precursor knock-down ants highlighted its role in the regulation of genes involved in metabolism. Knock-down ants exhibited higher walking activity and increased self-grooming in the brood chamber. We propose that OT-like signaling in ants is important for regulating metabolic processes and locomotion.}, author = {Liutkeviciute, Zita and Gil Mansilla, Esther and Eder, Thomas and Casillas Perez, Barbara E and Giulia Di Giglio, Maria and Muratspahić, Edin and Grebien, Florian and Rattei, Thomas and Muttenthaler, Markus and Cremer, Sylvia and Gruber, Christian}, issn = {0892-6638}, journal = {The FASEB Journal}, number = {12}, pages = {6808--6821}, publisher = {FASEB}, title = {{Oxytocin-like signaling in ants influences metabolic gene expression and locomotor activity}}, doi = {10.1096/fj.201800443}, volume = {32}, year = {2018}, } @article{19706, abstract = {The importance of astrocytic l-lactate (LL) for normal functioning of neural circuits such as those regulating learning/memory, sleep/wake state, autonomic homeostasis, or emotional behaviour is being increasingly recognised. l-Lactate can act on neurones as a metabolic or redox substrate, but transmembrane receptor targets are also emerging. A comparative review of the hydroxy-carboxylic acid receptor (HCA1, formerly known as GPR81), Olfactory Receptor Family 51 Subfamily E Member 2 (OR51E2), and orphan receptor GPR4 highlights differences in their LL sensitivity, pharmacology, intracellular coupling, and localisation in the brain. In addition, a putative Gs-coupled receptor on noradrenergic neurones, LLRx, which we previously postulated, remains to be identified. Next-generation sequencing revealed several orphan receptors expressed in locus coeruleus neurones. Screening of a selection of these suggests additional LL-sensitive receptors: GPR180 which inhibits and GPR137 which activates intracellular cyclic AMP signalling in response to LL in a heterologous expression system. To further characterise binding of LL at LLRx, we carried out a structure–activity relationship study which demonstrates that carboxyl and 2-hydroxyl moieties of LL are essential for triggering d-lactate-sensitive noradrenaline release in locus coeruleus, and that the size of the LL binding pocket is limited towards the methyl group position. The evidence accumulating to date suggests that LL acts via multiple receptor targets to modulate distinct brain functions.}, author = {Mosienko, Valentina and Rasooli-Nejad, Seyed and Kishi, Kasumi and De Both, Matt and Jane, David and Huentelman, Matt J. and Kasparov, Sergey and Teschemacher, Anja G.}, issn = {2571-6980}, journal = {Neuroglia}, number = {2}, pages = {365--380}, publisher = {MDPI}, title = {{Putative receptors underpinning L-Lactate signalling in locus coeruleus}}, doi = {10.3390/neuroglia1020025}, volume = {1}, year = {2018}, } @article{435, abstract = {It is shown that two fundamentally different phenomena, the bound states in continuum and the spectral singularity (or time-reversed spectral singularity), can occur simultaneously. This can be achieved in a rectangular core dielectric waveguide with an embedded active (or absorbing) layer. In such a system a two-dimensional bound state in a continuum is created in the plane of a waveguide cross section, and it is emitted or absorbed along the waveguide core. The idea can be used for experimental implementation of a laser or a coherent-perfect-absorber for a photonic bound state that resides in a continuous spectrum.}, author = {Midya, Bikashkali and Konotop, Vladimir}, journal = {Optics Letters}, number = {3}, pages = {607 -- 610}, publisher = {Optica Publishing Group}, title = {{Coherent-perfect-absorber and laser for bound states in a continuum}}, doi = {10.1364/OL.43.000607}, volume = {43}, year = {2018}, } @article{436, abstract = {There has been significant interest recently in using complex quantum systems to create effective nonreciprocal dynamics. Proposals have been put forward for the realization of artificial magnetic fields for photons and phonons; experimental progress is fast making these proposals a reality. Much work has concentrated on the use of such systems for controlling the flow of signals, e.g., to create isolators or directional amplifiers for optical signals. In this Letter, we build on this work but move in a different direction. We develop the theory of and discuss a potential realization for the controllable flow of thermal noise in quantum systems. We demonstrate theoretically that the unidirectional flow of thermal noise is possible within quantum cascaded systems. Viewing an optomechanical platform as a cascaded system we show here that one can ultimately control the direction of the flow of thermal noise. By appropriately engineering the mechanical resonator, which acts as an artificial reservoir, the flow of thermal noise can be constrained to a desired direction, yielding a thermal rectifier. The proposed quantum thermal noise rectifier could potentially be used to develop devices such as a thermal modulator, a thermal router, and a thermal amplifier for nanoelectronic devices and superconducting circuits.}, author = {Barzanjeh, Shabir and Aquilina, Matteo and Xuereb, André}, journal = {Physical Review Letters}, number = {6}, publisher = {American Physical Society}, title = {{Manipulating the flow of thermal noise in quantum devices}}, doi = {10.1103/PhysRevLett.120.060601}, volume = {120}, year = {2018}, } @article{437, abstract = {Dendritic cells (DCs) are sentinels of the adaptive immune system that reside in peripheral organs of mammals. Upon pathogen encounter, they undergo maturation and up-regulate the chemokine receptor CCR7 that guides them along gradients of its chemokine ligands CCL19 and 21 to the next draining lymph node. There, DCs present peripherally acquired antigen to naïve T cells, thereby triggering adaptive immunity.}, author = {Leithner, Alexander F and Renkawitz, Jörg and De Vries, Ingrid and Hauschild, Robert and Haecker, Hans and Sixt, Michael K}, journal = {European Journal of Immunology}, number = {6}, pages = {1074 -- 1077}, publisher = {Wiley-Blackwell}, title = {{Fast and efficient genetic engineering of hematopoietic precursor cells for the study of dendritic cell migration}}, doi = {10.1002/eji.201747358}, volume = {48}, year = {2018}, } @article{438, abstract = {The MazF toxin sequence-specifically cleaves single-stranded RNA upon various stressful conditions, and it is activated as a part of the mazEF toxin–antitoxin module in Escherichia coli. Although autoregulation of mazEF expression through the MazE antitoxin-dependent transcriptional repression has been biochemically characterized, less is known about post-transcriptional autoregulation, as well as how both of these autoregulatory features affect growth of single cells during conditions that promote MazF production. Here, we demonstrate post-transcriptional autoregulation of mazF expression dynamics by MazF cleaving its own transcript. Single-cell analyses of bacterial populations during ectopic MazF production indicated that two-level autoregulation of mazEF expression influences cell-to-cell growth rate heterogeneity. The increase in growth rate heterogeneity is governed by the MazE antitoxin, and tuned by the MazF-dependent mazF mRNA cleavage. Also, both autoregulatory features grant rapid exit from the stress caused by mazF overexpression. Time-lapse microscopy revealed that MazF-mediated cleavage of mazF mRNA leads to increased temporal variability in length of individual cells during ectopic mazF overexpression, as explained by a stochastic model indicating that mazEF mRNA cleavage underlies temporal fluctuations in MazF levels during stress.}, author = {Nikolic, Nela and Bergmiller, Tobias and Vandervelde, Alexandra and Albanese, Tanino and Gelens, Lendert and Moll, Isabella}, journal = {Nucleic Acids Research}, number = {6}, pages = {2918--2931}, publisher = {Oxford University Press}, title = {{Autoregulation of mazEF expression underlies growth heterogeneity in bacterial populations}}, doi = {10.1093/nar/gky079}, volume = {46}, year = {2018}, } @article{44, abstract = {Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien et al., [Nature (London) 551, 579 (2017)] resulted in the observation of unusual revivals in the many-body quantum dynamics. In our previous work [C. J. Turner et al., Nat. Phys. 14, 745 (2018)], such dynamics was attributed to the existence of “quantum scarred” eigenstates in the many-body spectrum of the experimentally realized model. Here, we present a detailed study of the eigenstate properties of the same model. We find that the majority of the eigenstates exhibit anomalous thermalization: the observable expectation values converge to their Gibbs ensemble values, but parametrically slower compared to the predictions of the eigenstate thermalization hypothesis (ETH). Amidst the thermalizing spectrum, we identify nonergodic eigenstates that strongly violate the ETH, whose number grows polynomially with system size. Previously, the same eigenstates were identified via large overlaps with certain product states, and were used to explain the revivals observed in experiment. Here, we find that these eigenstates, in addition to highly atypical expectation values of local observables, also exhibit subthermal entanglement entropy that scales logarithmically with the system size. Moreover, we identify an additional class of quantum scarred eigenstates, and discuss their manifestations in the dynamics starting from initial product states. We use forward scattering approximation to describe the structure and physical properties of quantum scarred eigenstates. Finally, we discuss the stability of quantum scars to various perturbations. We observe that quantum scars remain robust when the introduced perturbation is compatible with the forward scattering approximation. In contrast, the perturbations which most efficiently destroy quantum scars also lead to the restoration of “canonical” thermalization.}, author = {Turner, C J and Michailidis, Alexios and Abanin, D A and Serbyn, Maksym and Papić, Z}, journal = {Physical Review B}, number = {15}, publisher = {American Physical Society}, title = {{Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations}}, doi = {10.1103/PhysRevB.98.155134}, volume = {98}, year = {2018}, } @article{446, abstract = {We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.}, author = {Frank, Rupert and Phan Thanh, Nam and Van Den Bosch, Hanne}, journal = {Communications on Pure and Applied Mathematics}, number = {3}, pages = {577 -- 614}, publisher = {Wiley-Blackwell}, title = {{The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory}}, doi = {10.1002/cpa.21717}, volume = {71}, year = {2018}, } @article{448, abstract = {Around 150 million years ago, eusocial termites evolved from within the cockroaches, 50 million years before eusocial Hymenoptera, such as bees and ants, appeared. Here, we report the 2-Gb genome of the German cockroach, Blattella germanica, and the 1.3-Gb genome of the drywood termite Cryptotermes secundus. We show evolutionary signatures of termite eusociality by comparing the genomes and transcriptomes of three termites and the cockroach against the background of 16 other eusocial and non-eusocial insects. Dramatic adaptive changes in genes underlying the production and perception of pheromones confirm the importance of chemical communication in the termites. These are accompanied by major changes in gene regulation and the molecular evolution of caste determination. Many of these results parallel molecular mechanisms of eusocial evolution in Hymenoptera. However, the specific solutions are remarkably different, thus revealing a striking case of convergence in one of the major evolutionary transitions in biological complexity.}, author = {Harrison, Mark and Jongepier, Evelien and Robertson, Hugh and Arning, Nicolas and Bitard Feildel, Tristan and Chao, Hsu and Childers, Christopher and Dinh, Huyen and Doddapaneni, Harshavardhan and Dugan, Shannon and Gowin, Johannes and Greiner, Carolin and Han, Yi and Hu, Haofu and Hughes, Daniel and Huylmans, Ann K and Kemena, Karsten and Kremer, Lukas and Lee, Sandra and López Ezquerra, Alberto and Mallet, Ludovic and Monroy Kuhn, Jose and Moser, Annabell and Murali, Shwetha and Muzny, Donna and Otani, Saria and Piulachs, Maria and Poelchau, Monica and Qu, Jiaxin and Schaub, Florentine and Wada Katsumata, Ayako and Worley, Kim and Xie, Qiaolin and Ylla, Guillem and Poulsen, Michael and Gibbs, Richard and Schal, Coby and Richards, Stephen and Belles, Xavier and Korb, Judith and Bornberg Bauer, Erich}, journal = {Nature Ecology and Evolution}, number = {3}, pages = {557--566}, publisher = {Springer Nature}, title = {{Hemimetabolous genomes reveal molecular basis of termite eusociality}}, doi = {10.1038/s41559-017-0459-1}, volume = {2}, year = {2018}, } @article{454, abstract = {Direct reciprocity is a mechanism for cooperation among humans. Many of our daily interactions are repeated. We interact repeatedly with our family, friends, colleagues, members of the local and even global community. In the theory of repeated games, it is a tacit assumption that the various games that a person plays simultaneously have no effect on each other. Here we introduce a general framework that allows us to analyze “crosstalk” between a player’s concurrent games. In the presence of crosstalk, the action a person experiences in one game can alter the person’s decision in another. We find that crosstalk impedes the maintenance of cooperation and requires stronger levels of forgiveness. The magnitude of the effect depends on the population structure. In more densely connected social groups, crosstalk has a stronger effect. A harsh retaliator, such as Tit-for-Tat, is unable to counteract crosstalk. The crosstalk framework provides a unified interpretation of direct and upstream reciprocity in the context of repeated games.}, author = {Reiter, Johannes and Hilbe, Christian and Rand, David and Chatterjee, Krishnendu and Nowak, Martin}, journal = {Nature Communications}, number = {1}, publisher = {Nature Publishing Group}, title = {{Crosstalk in concurrent repeated games impedes direct reciprocity and requires stronger levels of forgiveness}}, doi = {10.1038/s41467-017-02721-8}, volume = {9}, year = {2018}, } @article{455, abstract = {The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities}, author = {Benedikter, Niels P and Sok, Jérémy and Solovej, Jan}, journal = {Annales Henri Poincare}, number = {4}, pages = {1167 -- 1214}, publisher = {Birkhäuser}, title = {{The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations}}, doi = {10.1007/s00023-018-0644-z}, volume = {19}, year = {2018}, } @article{456, abstract = {Inhibition of the endoplasmic reticulum stress pathway may hold the key to Zika virus-associated microcephaly treatment. }, author = {Novarino, Gaia}, journal = {Science Translational Medicine}, number = {423}, publisher = {American Association for the Advancement of Science}, title = {{Zika-associated microcephaly: Reduce the stress and race for the treatment}}, doi = {10.1126/scitranslmed.aar7514}, volume = {10}, year = {2018}, } @article{457, abstract = {Temperate bacteriophages integrate in bacterial genomes as prophages and represent an important source of genetic variation for bacterial evolution, frequently transmitting fitness-augmenting genes such as toxins responsible for virulence of major pathogens. However, only a fraction of bacteriophage infections are lysogenic and lead to prophage acquisition, whereas the majority are lytic and kill the infected bacteria. Unless able to discriminate lytic from lysogenic infections, mechanisms of immunity to bacteriophages are expected to act as a double-edged sword and increase the odds of survival at the cost of depriving bacteria of potentially beneficial prophages. We show that although restriction-modification systems as mechanisms of innate immunity prevent both lytic and lysogenic infections indiscriminately in individual bacteria, they increase the number of prophage-acquiring individuals at the population level. We find that this counterintuitive result is a consequence of phage-host population dynamics, in which restriction-modification systems delay infection onset until bacteria reach densities at which the probability of lysogeny increases. These results underscore the importance of population-level dynamics as a key factor modulating costs and benefits of immunity to temperate bacteriophages}, author = {Pleska, Maros and Lang, Moritz and Refardt, Dominik and Levin, Bruce and Guet, Calin C}, journal = {Nature Ecology and Evolution}, number = {2}, pages = {359 -- 366}, publisher = {Springer Nature}, title = {{Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity}}, doi = {10.1038/s41559-017-0424-z}, volume = {2}, year = {2018}, } @article{458, abstract = {We consider congruences of straight lines in a plane with the combinatorics of the square grid, with all elementary quadrilaterals possessing an incircle. It is shown that all the vertices of such nets (we call them incircular or IC-nets) lie on confocal conics. Our main new results are on checkerboard IC-nets in the plane. These are congruences of straight lines in the plane with the combinatorics of the square grid, combinatorially colored as a checkerboard, such that all black coordinate quadrilaterals possess inscribed circles. We show how this larger class of IC-nets appears quite naturally in Laguerre geometry of oriented planes and spheres and leads to new remarkable incidence theorems. Most of our results are valid in hyperbolic and spherical geometries as well. We present also generalizations in spaces of higher dimension, called checkerboard IS-nets. The construction of these nets is based on a new 9 inspheres incidence theorem.}, author = {Akopyan, Arseniy and Bobenko, Alexander}, journal = {Transactions of the American Mathematical Society}, number = {4}, pages = {2825 -- 2854}, publisher = {American Mathematical Society}, title = {{Incircular nets and confocal conics}}, doi = {10.1090/tran/7292}, volume = {370}, year = {2018}, } @article{46, abstract = {We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one-dimensional (1D) random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we find that the coupling to the central spin suffices to delocalize the chain for a substantial range of coupling strengths. We calculate the phase diagram of the model and identify the phase boundary between the MBL and ergodic phase. Within the localized phase, the central spin significantly enhances the rate of the logarithmic entanglement growth and its saturation value. We attribute the increase in entanglement entropy to a nonextensive enhancement of magnetization fluctuations induced by the central spin. Finally, we demonstrate that correlation functions of the central spin can be utilized to distinguish between MBL and ergodic phases of the 1D chain. Hence, we propose the use of a central spin as a possible experimental probe to identify the MBL phase.}, author = {Hetterich, Daniel and Yao, Norman and Serbyn, Maksym and Pollmann, Frank and Trauzettel, Björn}, journal = {Physical Review B}, number = {16}, publisher = {American Physical Society}, title = {{Detection and characterization of many-body localization in central spin models}}, doi = {10.1103/PhysRevB.98.161122}, volume = {98}, year = {2018}, }