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.

The dissipative Bose-Hubbard model: Methods and examples / Kordas, G; Witthaut, D.; Buonsante, Pierfrancesco; Vezzani, Alessandro; Burioni, Raffaella; Karanikas, A. I.; Wimberger, Sandro Marcel. - In: THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS. - ISSN 1951-6355. - 224:11(2015), pp. 2127-2171. [10.1140/epjst/e2015-02528-2]

The dissipative Bose-Hubbard model: Methods and examples

BUONSANTE, Pierfrancesco;VEZZANI, Alessandro;BURIONI, Raffaella;WIMBERGER, Sandro Marcel
2015-01-01

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.
2015
The dissipative Bose-Hubbard model: Methods and examples / Kordas, G; Witthaut, D.; Buonsante, Pierfrancesco; Vezzani, Alessandro; Burioni, Raffaella; Karanikas, A. I.; Wimberger, Sandro Marcel. - In: THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS. - ISSN 1951-6355. - 224:11(2015), pp. 2127-2171. [10.1140/epjst/e2015-02528-2]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2796844
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