@article{1048, abstract = {We produce an ultracold and dense sample of rovibronic ground state Cs 2 molecules close to the regime of quantum degeneracy, in a single hyperfine level, in the presence of an optical lattice. The molecules are individually trapped, in the motional ground state of an optical lattice well, with a lifetime of 8 s. For preparation, we start with a zero-temperature atomic Mott-insulator state with optimized double-site occupancy and efficiently associate weakly-bound dimer molecules on a Feshbach resonance. Despite extremely weak Franck-Condon wavefunction overlap, the molecules are subsequently transferred with >50% efficiency to the rovibronic ground state by a stimulated four-photon process. Our results present a crucial step towards the generation of Bose-Einstein condensates of ground-state molecules and, when suitably generalized to polar heteronuclear molecules such as RbCs, the realization of dipolar many-body quantum-gas phases in periodic potentials.}, author = {Nägerl, Hanns and Mark, Manfred and Haller, Elmar and Gustavsson, Mattias and Hart, Russell and Danzl, Johann G}, journal = {Journal of Physics: Conference Series}, number = {1}, publisher = {IOP Publishing Ltd.}, title = {{Ultracold and dense samples of ground-state molecules in lattice potentials}}, doi = {10.1088/1742-6596/264/1/012015}, volume = {264}, year = {2011}, } @article{1050, abstract = {We present experimentally derived potential curves 1?and spin-orbit interaction functions for the strongly perturbed AΣu+ 3?and bΠu states of the cesium dimer. The results are based on data from several sources. Laser-induced fluorescence Fourier transform spectroscopy (LIF FTS) was used some time ago in the Laboratoire Aimé Cotton primarily to study the XΣg+ state. More recent work at Tsinghua University provides information from moderate 3?resolution spectroscopy on the lowest levels of the bΠ0u± state as well as additional high-resolution data. From Innsbruck University, we have precision data obtained with cold Cs2 molecules. Recent data from Temple University was obtained using the optical-optical double resonance polarization spectroscopy technique, and finally, a group at the University of Latvia has added additional LIF FTS data. In the Hamiltonian matrix, we have used analytic potentials (the expanded Morse oscillator form) with both finite-difference (FD) coupled-channel and discrete variable representation (DVR) calculations of the term values. Fitted diagonal and off-diagonal spin-orbit functions are obtained and compared with ab initio results from Temple and Moscow State universities.}, author = {Bai, Jianmei and Ahmed, Ergin and Beser, Bediha and Guan, Yafei and Kotochigova, Svetlana and Lyyra, Marjatta and Ashman, Seth and Wolfe, Christopher and Huennekens, John and Xie, Feng and Li, Dan and Li, Li and Tamanis, Maris and Ferber, Ruvin and Drozdova, Anastasia and Pazyuk, Elena and Stolyarov, Andrey and Danzl, Johann G and Nägerl, Hanns and Bouloufa, Nadia and Dulieu, Olivier and Amiot, Claude and Salami, Houssam and Bergeman, Thomas}, journal = { Physical Review A - Atomic, Molecular, and Optical Physics}, number = {3}, publisher = {American Physical Society}, title = {{Global analysis of data on the spin-orbit-coupled A 1Σu+ and b 3Πu inf states of Cs2}}, doi = {10.1103/PhysRevA.83.032514}, volume = {83}, year = {2011}, } @article{1051, abstract = {We demonstrate the temporal Talbot effect for trapped matter waves using ultracold atoms in an optical lattice. We investigate the phase evolution of an array of essentially non-interacting matter waves and observe matter-wave collapse and revival in the form of a Talbot interference pattern. By using long expansion times, we image momentum space with sub-recoil resolution, allowing us to observe fractional Talbot fringes up to tenth order.}, author = {Mark, Manfred and Haller, Elmar and Danzl, Johann G and Lauber, Katharina and Gustavsson, Mattias and Nägerl, Hanns}, journal = {New Journal of Physics}, publisher = {IOP Publishing Ltd.}, title = {{Demonstration of the temporal matter-wave Talbot effect for trapped matter waves}}, doi = {10.1088/1367-2630/13/8/085008}, volume = {13}, year = {2011}, } @article{1052, abstract = {The present paper aims at finding optimal parameters for trapping of Cs 2 molecules in optical lattices, with the perspective of creating a quantum degenerate gas of ground-state molecules. We have calculated dynamic polarizabilities of Cs 2 molecules subject to an oscillating electric field, using accurate potential curves and electronic transition dipole moments. We show that for some particular wavelengths of the optical lattice, called "magic wavelengths", the polarizability of the ground-state molecules is equal to the one of a Feshbach molecule. As the creation of the sample of ground-state molecules relies on an adiabatic population transfer from weakly-bound molecules created on a Feshbach resonance, such a coincidence ensures that both the initial and final states are favorably trapped by the lattice light, allowing optimized transfer in agreement with the experimental observation.}, author = {Vexiau, Romain and Bouloufa, Nadia and Aymar, Mireille and Danzl, Johann G and Mark, Manfred and Nägerl, Hanns and Dulieu, Olivier}, journal = {European Physical Journal D}, number = {1-2}, pages = {243 -- 250}, publisher = {Springer}, title = {{Optimal trapping wavelengths of Cs 2 molecules in an optical lattice}}, doi = {10.1140/epjd/e2011-20085-4}, volume = {65}, year = {2011}, } @article{1053, abstract = {We perform precision measurements on a Mott-insulator quantum state of ultracold atoms with tunable interactions. We probe the dependence of the superfluid-to-Mott-insulator transition on the interaction strength and explore the limits of the standard Bose-Hubbard model description. By tuning the on-site interaction energies to values comparable to the interband separation, we are able to quantitatively measure number-dependent shifts in the excitation spectrum caused by effective multibody interactions.}, author = {Mark, Manfred and Haller, Elmar and Lauber, Katharina and Danzl, Johann G and Daley, Andrew and Nägerl, Hanns}, journal = {Physical Review Letters}, number = {17}, publisher = {American Physical Society}, title = {{Precision measurements on a tunable Mott insulator of ultracold atoms}}, doi = {10.1103/PhysRevLett.107.175301}, volume = {107}, year = {2011}, } @article{1054, abstract = {We investigate local three-body correlations for bosonic particles in three dimensions and one dimension as a function of the interaction strength. The three-body correlation function g(3) is determined by measuring the three-body recombination rate in an ultracold gas of Cs atoms. In three dimensions, we measure the dependence of g(3) on the gas parameter in a BEC, finding good agreement with the theoretical prediction accounting for beyond-mean-field effects. In one dimension, we observe a reduction of g( 3) by several orders of magnitude upon increasing interactions from the weakly interacting BEC to the strongly interacting Tonks-Girardeau regime, in good agreement with predictions from the Lieb-Liniger model for all strengths of interaction.}, author = {Haller, Elmar and Rabie, Mahmoud and Mark, Manfred and Danzl, Johann G and Hart, Russell and Lauber, Katharina and Pupillo, Guido and Nägerl, Hanns}, journal = {Physical Review Letters}, number = {23}, publisher = {American Physical Society}, title = {{Three-body correlation functions and recombination rates for bosons in three dimensions and one dimension}}, doi = {10.1103/PhysRevLett.107.230404}, volume = {107}, year = {2011}, } @inbook{2098, abstract = {This chapter presents a method for real-time animation of highly detailed facial expressions based on sparse motion captures data and a limited set of static example poses. The method for real-time animation of highly detailed facial expressions decomposes geometry into large-scale motion and fine-scale details, such as expression wrinkles. Both large- and fine-scale deformation algorithms run entirely on the GPU, and our implementation based on CUDA achieves an overall performance of about 30 fps. The face conveys the most relevant visual characteristics of human identity and expression. Hence, realistic facial animations or interactions with virtual avatars are important for storytelling and gameplay. However, current approaches are either computationally expensive, require very specialized capture hardware, or are extremely labor intensive. At runtime, given an arbitrary facial expression, the algorithm computes the skin strain from the relative distance between marker points and derives fine-scale corrections for the largescale deformation. During gameplay only the sparse set of marker-point positions is transmitted to the GPU. The face animation is entirely computed on the GPU where the resulting mesh can directly be used as input for the rendering stages. This data can be easily obtained by traditional capture hardware. The proposed in-game algorithm is fast. It also is easy to implement and maps well onto programmable GPUs.}, author = {Bernd Bickel and Lang, Manuel}, booktitle = {GPU Computing Gems Emerald Edition}, pages = {413 -- 426}, publisher = {Science Direct}, title = {{From sparse mocap to highly detailed facial animation}}, doi = {10.1016/B978-0-12-384988-5.00027-9}, year = {2011}, } @article{2099, abstract = {We present a new technique for passive and markerless facial performance capture based on anchor frames. Our method starts with high resolution per-frame geometry acquisition using state-of-theart stereo reconstruction, and proceeds to establish a single triangle mesh that is propagated through the entire performance. Leveraging the fact that facial performances often contain repetitive subsequences, we identify anchor frames as those which contain similar facial expressions to a manually chosen reference expression. Anchor frames are automatically computed over one or even multiple performances. We introduce a robust image-space tracking method that computes pixel matches directly from the reference frame to all anchor frames, and thereby to the remaining frames in the sequence via sequential matching. This allows us to propagate one reconstructed frame to an entire sequence in parallel, in contrast to previous sequential methods. Our anchored reconstruction approach also limits tracker drift and robustly handles occlusions and motion blur. The parallel tracking and mesh propagation offer low computation times. Our technique will even automatically match anchor frames across different sequences captured on different occasions, propagating a single mesh to all performances.}, author = {Beeler, Thabo and Hahn, Fabian and Bradley, Derek J and Bernd Bickel and Beardsley, Paul A and Gotsman, Craig and Sumner, Robert W and Groß, Markus S}, journal = {ACM Transactions on Graphics}, number = {4}, publisher = {ACM}, title = {{High-quality passive facial performance capture using anchor frames}}, doi = {10.1145/2010324.1964970}, volume = {30}, year = {2011}, } @inproceedings{2100, abstract = {Acquiring panoramic images using stitching takes a lot of time and moving objects may cause ghosting. It is also difficult to obtain a full spherical panorama, because the downward picture cannot be captured while the camera is mounted on the tripod.}, author = {Pfeil, Jonas and Hildebrand, Kristian and Gremzow, Carsten and Bernd Bickel and Alexa, Marc}, publisher = {ACM}, title = {{Throwable panoramic ball camera}}, doi = {10.1145/2073370.2073373}, year = {2011}, } @article{21107, abstract = {The crystal structure of the decamer sequence d(CGGGTACCCG)4 as a four-way Holliday junction has been determined at 2.35 Å resolution. The sequence was designed in order to understand the principles that govern the relationship between sequence and branching structure. It crystallized as a four-way junction structure with an overall geometry similar to those of previously determined Holliday junction structures.}, author = {Mandal, Pradeep K and Venkadesh, S. and Gautham, N.}, issn = {1744-3091}, journal = {Acta Crystallographica Section F Structural Biology Communications}, number = {12}, pages = {1506--1510}, publisher = {International Union of Crystallography}, title = {{Structure of d(CGGGTACCCG)4 as a four-way Holliday junction}}, doi = {10.1107/s1744309111046616}, volume = {67}, year = {2011}, } @article{21108, abstract = {We report here the crystal structure of the partially self-complementary decameric sequence d(CGGCGGCCGC), which self assembles to form a four-way junction with sticky ends. Each junction binds to four others through Watson–Crick base pairing at the sticky ends to form a rhombic structure. The rhombuses bind to each other and form two dimensional tiles. The tiles stack to form the crystal. The crystal diffracted in the space group P1 to a resolution of 2.5 Å. The junction has the anti-parallel stacked-X conformation like other junction structures, though the formation of the rhombic net noticeably alters the details of the junction geometry.}, author = {Venkadesh, S. and Mandal, Pradeep K and Gautham, N.}, issn = {0006-291X}, journal = {Biochemical and Biophysical Research Communications}, number = {3}, pages = {548--551}, publisher = {Elsevier}, title = {{The sequence d(CGGCGGCCGC) self-assembles into a two dimensional rhombic DNA lattice}}, doi = {10.1016/j.bbrc.2011.03.056}, volume = {407}, year = {2011}, } @article{21109, abstract = {We report the 2.6 Å resolution crystal structure of the tetra-decamer d(CGCGGGTACCCGCG) in the tetragonal space group P43. This sequence contains the KpnI restriction site GGTACC in the centre which is flanked by alternating ‘CG’ sequences, and has a ‘TA’ step at the centre. These are features could favour the left-handed Z type helix. Despite this, overall the molecule has the A form. This is the first tetra-decamer crystallized in the A-DNA conformation, i.e. more than one full turn of the A helix. The crystallographic asymmetric unit consists of one tetra-decamer duplex. The helical twist and slide, as well as the base pair–base pair stacking interactions show alternations at the alternating pyrimidine–purine and purine–pyrimidine base steps. This variation is reminiscent of the dinucleotide repeat in left-handed Z-DNA helices. The crystal packing is unlike other A-DNA crystal structures, with each helix having a large number of contacts of many different types with symmetry-related neighbours.}, author = {Venkadesh, S. and Mandal, Pradeep K and Gautham, N.}, issn = {0006-291X}, journal = {Biochemical and Biophysical Research Communications}, number = {2}, pages = {307--312}, publisher = {Elsevier}, title = {{The structure of a full turn of an A-DNA duplex d(CGCGGGTACCCGCG)2}}, doi = {10.1016/j.bbrc.2011.03.007}, volume = {407}, year = {2011}, } @inbook{2116, abstract = {Let P be the Ornstein-Uhlenbeck semigroup associated with the stochastic Cauchy problem dU(t)=AU(t)dt+dWH(t), where A is the generator of a C 0-semigroup S on a Banach space E, H is a Hilbert subspace of E, and W H is an H-cylindrical Brownian motion. Assuming that S restricts to a C 0-semigroup on H, we obtain L p -bounds for D H P(t). We show that if P is analytic, then the invariance assumption is fulfilled. As an application we determine the L p -domain of the generator of P explicitly in the case where S restricts to a C 0-semigroup on H which is similar to an analytic contraction semigroup. The results are applied to the 1D stochastic heat equation driven by additive space-time white noise.}, author = {Jan Maas and Van Neerven, Jan}, booktitle = {Parabolic Problems}, pages = {463 -- 477}, publisher = {Birkhäuser}, title = {{Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators}}, doi = {10.1007/978-3-0348-0075-4_24}, volume = {80}, year = {2011}, } @article{2122, abstract = {We study, in L1(R̃n; γ) with respect to the gaussian measure, non- tangential maximal functions and conical square functions associ- ated with the Ornstein-Uhlenbeck operator by developing a set of techniques which allow us, to some extent, to compensate for the non-doubling character of the gaussian measure. The main result asserts that conical square functions can be controlled in L1-norm by non-tangential maximal functions. Along the way we prove a change of aperture result for the latter. This complements recent results on gaussian Hardy spaces due to Mauceri and Meda.}, author = {Jan Maas and van Neerven, Jan M and Portal, Pierre}, journal = {Publicacions Matemàtiques}, number = {2}, pages = {313 -- 341}, publisher = {Universitat Autònoma de Barcelona, Departament de Matemàtique}, title = {{Conical square functions and non-tangential maximal functions with respect to the Gaussian measure}}, doi = {10.5565/PUBLMAT_55211_03 }, volume = {55}, year = {2011}, } @article{2123, abstract = {We prove a Trotter product formula for gradient flows in metric spaces. This result is applied to establish convergence in the L 2-Wasserstein metric of the splitting method for some Fokker-Planck equations and porous medium type equations perturbed by a potential.}, author = {Clément, Philippe and Maas, Jan}, journal = {Journal of Evolution Equations}, number = {2}, pages = {405 -- 427}, publisher = {Birkhäuser}, title = {{A Trotter product formula for gradient flows in metric spaces}}, doi = {10.1007/s00028-010-0096-5}, volume = {11}, year = {2011}, } @article{2126, abstract = {Let K be an irreducible and reversible Markov kernel on a finite set X. We construct a metric W on the set of probability measures on X and show that with respect to this metric, the law of the continuous time Markov chain evolves as the gradient flow of the entropy. This result is a discrete counterpart of the Wasserstein gradient flow interpretation of the heat flow in Rn by Jordan, Kinderlehrer and Otto (1998). The metric W is similar to, but different from, the L2-Wasserstein metric, and is defined via a discrete variant of the Benamou–Brenier formula. }, author = {Jan Maas}, journal = {Journal of Functional Analysis}, number = {8}, pages = {2250 -- 2292}, publisher = {Academic Press}, title = {{Gradient flows of the entropy for finite Markov chains}}, doi = {10.1016/j.jfa.2011.06.009 }, volume = {261}, year = {2011}, } @unpublished{2138, abstract = {A (diatomic) shape resonance is a metastable state of a pair of colliding atoms quasi-bound by the centrifugal barrier imposed by the angular momentum involved in the collision. The temporary trapping of the atoms' scattering wavefunction corresponds to an enhanced atom pair density at low interatomic separations. This leads to larger overlap of the wavefunctions involved in a molecule formation process such as photoassociation, rendering the process more efficient. However, for an ensemble of atoms, the atom pair density will only be enhanced if the energy of the resonance comes close to the temperature of the atomic ensemble. Herein we explore the possibility of controlling the energy of a shape resonance by shifting it toward the temperature of atoms confined in a trap. The shifts are imparted by the interaction of non-resonant light with the anisotropic polarizability of the atom pair, which affects both the centrifugal barrier and the pair's rotational and vibrational levels. We find that at laser intensities of up to 5×109 W/cm2 the pair density is increased by one order of magnitude for 87Rb atoms at 100μK and by two orders of magnitude for 88Sr atoms at 20μK.}, author = {Ağanoğlu, Ruzin and Mikhail Lemeshko and Friedrich, Břetislav and González-Férez, Rosario and Koch, Christiane P}, booktitle = {Unknown}, publisher = {ArXiv}, title = {{Controlling a diatomic shape resonance with non-resonant light}}, year = {2011}, } @article{2198, abstract = {We show that dressing polar molecules with a far-off-resonant optical field leads to new types of intermolecular potentials, which undergo a crossover from the inverse power to oscillating behavior depending on the intermolecular distance, and whose parameters can be tuned by varying the laser intensity and wavelength. We present analytic expressions for the potential energy surfaces, thereby providing direct access to the parameters of an optical field required to design intermolecular interactions experimentally.}, author = {Mikhail Lemeshko}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics}, number = {5}, publisher = {American Physical Society}, title = {{Shaping interactions between polar molecules with far-off-resonant light}}, doi = {10.1103/PhysRevA.83.051402}, volume = {83}, year = {2011}, } @article{2199, abstract = {By invoking supersymmetry, we found a condition under which the Stark-effect problem for a polar and polarizable molecule subject to nonresonant electric fields becomes exactly solvable for the family of stretched states. The analytic expressions for the wave function and eigenenergy and other expectation values allow one to readily reverse-engineer the problem of finding the values of the interaction parameters required for creating quantum states with preordained characteristics. The method also allows the construction of families of isospectral potentials, realizable with combined fields.}, author = {Mikhail Lemeshko and Mustafa, Mustafa K and Kais, Sabre and Friedrich, Břetislav}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics}, number = {4}, publisher = {American Physical Society}, title = {{Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states}}, doi = {10.1103/PhysRevA.83.043415}, volume = {83}, year = {2011}, } @article{2200, abstract = {We made use of supersymmetric (SUSY) quantum mechanics to find the condition under which the Stark effect problem for a polar and polarizable closed-shell diatomic molecule subjected to collinear electrostatic and nonresonant radiative fields becomes exactly solvable. The condition Δω = ω2/4(m+1)2 connects values of the dimensionless parameters ω and Δω that characterize the strengths of the permanent and induced dipole interactions of the molecule with the respective fields. The exact solutions are obtained for the \J̃ = m, m; ω, Δω) family of 'stretched' states. The field-free and strong-field limits of the combined-fields problem were found to exhibit supersymmetry and shape invariance, which is indeed the reason why they are analytically solvable. By making use of the analytic form of the \J̃ = m,m; ω, Δω) wavefunctions, we obtained simple formulae for the expectation values of the space-fixed electric dipole moment, the alignment cosine and the angular momentum squared, and derived a 'sum rule' that combines the above expectation values into a formula for the eigenenergy. The analytic expressions for the characteristics of the strongly oriented and aligned states provide direct access to the values of the interaction parameters required for creating such states in the laboratory.}, author = {Mikhail Lemeshko and Mustafa, Mustafa K and Kais, Sabre and Friedrich, Břetislav}, journal = {New Journal of Physics}, publisher = {IOP Publishing Ltd.}, title = {{Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically}}, doi = {10.1088/1367-2630/13/6/063036}, volume = {13}, year = {2011}, }