The dissipative Bose-Hubbard model
Authors: Kordas G., Witthaut D., Buonsante P., Vezzani A., Burioni R., Karanikas A.I., Wimberger S.
Autors Affiliation: University of Athens, Physics Department, Nuclear & Particle Physics Section, Panepistimiopolis, Ilissia 15771, Athens, Greece;
Forschungszentrum Julich, Institute for Energy and Climate Research (IEK-STE) 52428 Julich, Germany;
Institute for Theoretical Physics, University of Cologne, 50937, Koln, Germany;
QSTAR, INO-CNR and LENS, Largo Fermi 2, 50125 Firenze, Italy;
S3-CNR Istituto di Nanoscienze, Via Campi 213A, 41125 Modena Italy;
Dipartimento di Fisica e Scienze della Terra, Università di Parma, via G.P. Usbert 43124 Parma, Italy;
INFN sezione di Milano Bicocca, gruppo Collegato di 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: Open quantum systems; transport; ultracold bosonsDOI: 10.1140/epjst/e2015-02528-2Citations: 29data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2020-05-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here