The dissipative Bose-Hubbard model
Authors: Kordas G., Witthaut D., Buonsante P., Vezzani A., Burioni R., Karanikas AI., Wimberger S.
Autors Affiliation: Univ Athens, Nucl & Particle Phys Sect, Dept Phys, GR-15771 Athens, Greece; Forschungszentrum Julich, Inst Energy & Climate Res IEK STE, D-52428 Julich, Germany; Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany; QSTAR, INO CNR, I-50125 Florence, Italy; LENS, I-50125 Florence, Italy; CNR Ist Nanosci, S3, I-41125 Modena, Italy; Univ Parma, Dipartimento Fis & Sci Terra, I-43124 Parma, Italy; Ist Nazl Fis Nucl, Sez Milano Bicocca, Grp Coll Parma, Parma, Italy
Abstract: Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems lies in the realization of counter-intuitive transport phenomena and the stochastic preparation of highly stable and entangled many-body states due to engineered dissipation. We review a variety of approaches to describe an open system of interacting ultracold bosons which can be modeled by a tight-binding Hubbard approximation. Going along with the presentation of theoretical and numerical techniques, we present a series of results in diverse setups, based on a master equation description of the dissipative dynamics of ultracold bosons in a one-dimensional lattice. Next to by now standard numerical methods such as the exact unravelling of the master equation by quantum jumps for small systems and beyond mean-field expansions for larger ones, we present a coherent-state path integral formalism based on Feynman-Vernon theory applied to a many-body context.
Journal/Review: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume: 224 (11) Pages from: 2127 to: 2171
KeyWords: MEAN-FIELD THEORY; EINSTEIN CONDENSATION; SEMICLASSICAL APPROXIMATIONS; DISCRETE BREATHERS; NOBEL LECTURE; WAVE-FUNCTION; PHASE-SPACE; QUANTUM; ATOM; SUPERFLUIDDOI: 10.1140/epjst/e2015-02528-2Citations: 50data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-11-27References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here