[{"date_updated":"2026-04-02T14:33:33Z","intvolume":"      2020","corr_author":"1","has_accepted_license":"1","citation":{"apa":"De Nicola, S., Doyon, B., &#38; Bhaseen, M. J. (2020). Non-equilibrium quantum spin dynamics from classical stochastic processes. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ab6093\">https://doi.org/10.1088/1742-5468/ab6093</a>","short":"S. De Nicola, B. Doyon, M.J. Bhaseen, Journal of Statistical Mechanics: Theory and Experiment 2020 (2020).","mla":"De Nicola, Stefano, et al. “Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2020, no. 1, 013106, IOP Publishing, 2020, doi:<a href=\"https://doi.org/10.1088/1742-5468/ab6093\">10.1088/1742-5468/ab6093</a>.","ieee":"S. De Nicola, B. Doyon, and M. J. Bhaseen, “Non-equilibrium quantum spin dynamics from classical stochastic processes,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2020, no. 1. IOP Publishing, 2020.","chicago":"De Nicola, Stefano, B. Doyon, and M. J. Bhaseen. “Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2020. <a href=\"https://doi.org/10.1088/1742-5468/ab6093\">https://doi.org/10.1088/1742-5468/ab6093</a>.","ama":"De Nicola S, Doyon B, Bhaseen MJ. Non-equilibrium quantum spin dynamics from classical stochastic processes. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2020;2020(1). doi:<a href=\"https://doi.org/10.1088/1742-5468/ab6093\">10.1088/1742-5468/ab6093</a>","ista":"De Nicola S, Doyon B, Bhaseen MJ. 2020. Non-equilibrium quantum spin dynamics from classical stochastic processes. Journal of Statistical Mechanics: Theory and Experiment. 2020(1), 013106."},"abstract":[{"text":"Following on from our recent work, we investigate a stochastic approach to non-equilibrium quantum spin systems. We show how the method can be applied to a variety of physical observables and for different initial conditions. We provide exact formulae of broad applicability for the time-dependence of expectation values and correlation functions following a quantum quench in terms of averages over classical stochastic processes. We further explore the behavior of the classical stochastic variables in the presence of dynamical quantum phase transitions, including results for their distributions and correlation functions. We provide details on the numerical solution of the associated stochastic differential equations, and examine the growth of fluctuations in the classical description. We discuss the strengths and limitations of the current implementation of the stochastic approach and the potential for further development.","lang":"eng"}],"date_published":"2020-01-22T00:00:00Z","file":[{"file_name":"2020_JournStatisticalMech_DeNicola.pdf","file_id":"7648","file_size":3159026,"content_type":"application/pdf","creator":"dernst","date_updated":"2020-07-14T12:48:01Z","date_created":"2020-04-06T13:15:49Z","access_level":"open_access","relation":"main_file","checksum":"4030e683c15d30b7b4794ec7dc1b6537"}],"volume":2020,"ec_funded":1,"article_number":"013106","ddc":["530"],"month":"01","publication":"Journal of Statistical Mechanics: Theory and Experiment","issue":"1","status":"public","author":[{"first_name":"Stefano","orcid":"0000-0002-4842-6671","last_name":"De Nicola","full_name":"De Nicola, Stefano","id":"42832B76-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Doyon, B.","first_name":"B.","last_name":"Doyon"},{"last_name":"Bhaseen","first_name":"M. J.","full_name":"Bhaseen, M. J."}],"date_created":"2020-04-05T22:00:50Z","isi":1,"project":[{"grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"quality_controlled":"1","doi":"10.1088/1742-5468/ab6093","_id":"7638","scopus_import":"1","oa_version":"Published Version","article_type":"original","file_date_updated":"2020-07-14T12:48:01Z","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1742-5468"]},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","arxiv":1,"article_processing_charge":"No","title":"Non-equilibrium quantum spin dynamics from classical stochastic processes","type":"journal_article","external_id":{"arxiv":["1909.13142"],"isi":["000520187500001"]},"day":"22","oa":1,"year":"2020","publication_status":"published","publisher":"IOP Publishing","department":[{"_id":"MaSe"}]},{"project":[{"grant_number":"665385","call_identifier":"H2020","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","date_created":"2019-09-01T22:00:59Z","isi":1,"language":[{"iso":"eng"}],"doi":"10.1088/1742-5468/ab190d","_id":"6840","scopus_import":"1","oa_version":"Preprint","article_processing_charge":"No","title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","publication_identifier":{"eissn":["1742-5468"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","arxiv":1,"year":"2019","publication_status":"published","publisher":"IOP Publishing","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02209"}],"department":[{"_id":"RoSe"}],"type":"journal_article","day":"13","external_id":{"arxiv":["1810.02209"],"isi":["000471650100001"]},"oa":1,"intvolume":"      2019","date_updated":"2025-03-31T16:01:18Z","date_published":"2019-06-13T00:00:00Z","citation":{"ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2019. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>.","ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2019;2019(6). doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>","apa":"Mysliwy, K., &#38; Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6. IOP Publishing, 2019.","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>.","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019)."},"abstract":[{"text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases.","lang":"eng"}],"ec_funded":1,"volume":2019,"article_number":"063101","month":"06","status":"public","author":[{"last_name":"Mysliwy","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Marek","last_name":"Napiórkowski","full_name":"Napiórkowski, Marek"}],"publication":"Journal of Statistical Mechanics: Theory and Experiment","issue":"6"}]