• DOI:10.1140/epjst/e2015-02528-2
• Corpus ID: 118455786

The dissipative Bose-Hubbard model

@article{Kordas2015TheDB,
  title={The dissipative Bose-Hubbard model},
  author={G. I. Kordas and Dirk Witthaut and Pierfrancesco Buonsante and Alessandro Vezzani and Raffaella Burioni and Alexandros I. Karanikas and Sandro Wimberger},
  journal={The European Physical Journal Special Topics},
  year={2015},
  volume={224},
  pages={2127-2171}
}

• G. Kordas, D. Witthaut, +4 authors S. Wimberger
• Published 14 September 2015
• Physics
• The European Physical Journal Special Topics

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.