Universität zu Köln

Kordas, G., Witthaut, D., Buonsante, P., Vezzani, A., Burioni, R., Karanikas, A. I. and Wimberger, S. (2015). The dissipative Bose-Hubbard model. Eur. Phys. J.-Spec. Top., 224 (11). S. 2127 - 2172. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1951-6401

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kordas, G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Witthaut, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Buonsante, P. UNSPECIFIED UNSPECIFIED UNSPECIFIED Vezzani, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Burioni, R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Karanikas, A. I. UNSPECIFIED UNSPECIFIED UNSPECIFIED Wimberger, S. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-389259
DOI:	10.1140/epjst/e2015-02528-2
Journal or Publication Title:	Eur. Phys. J.-Spec. Top.
Volume:	224
Number:	11
Page Range:	S. 2127 - 2172
Date:	2015
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1951-6401
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MEAN-FIELD THEORY; EINSTEIN CONDENSATION; SEMICLASSICAL APPROXIMATIONS; DISCRETE BREATHERS; NOBEL LECTURE; WAVE-FUNCTION; PHASE-SPACE; QUANTUM; ATOM; SUPERFLUID Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/38925