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}
}
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… 

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References

SHOWING 1-10 OF 304 REFERENCES

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Open many‐body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. A series

Dissipation through localized loss in bosonic systems with long-range interactions

In recent years, controlled dissipation has proven to be a useful tool for the probing of a quantum system in an ultracold setup. In this paper we consider the dynamics of bosons induced by a

Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase-space approach

The number-conserving quantum phase space description of the Bose-Hubbard model is discussed for the illustrative case of two and three modes, as well as the generalization of the two-mode case to an

Quantum dynamics of Bose-Hubbard Hamiltonians beyond the Hartree-Fock-Bogoliubov approximation: The Bogoliubov back-reaction approximation

We formulate a method for studying the quantum field dynamics of ultracold Bose gases confined within optical lattice potentials, within the lowest Bloch-band Bose-Hubbard model. Our formalism

Nonequilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission

We analyze in detail the heating of bosonic atoms in an optical lattice due to incoherent scattering of light from the lasers forming the lattice. Because atoms scattered into higher bands do not

Mean-field dynamics of a two-mode Bose–Einstein condensate subject to noise and dissipation

We discuss the dynamics of an open two-mode Bose–Hubbard system subject to phase noise and particle dissipation. Starting from the full many-body dynamics described by a master equation the

Controlling the dynamics of an open many-body quantum system with localized dissipation.

The link between the dissipative dynamics and the measurement of the density distribution of the BEC allowing for a generalized definition of the Zeno effect is demonstrated.

A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice

A quantum gas ‘microscope’ that bridges the two approaches to creating highly controllable quantum information systems, realizing a system in which atoms of a macroscopic ensemble are detected individually and a complete set of degrees of freedom for each of them is determined through preparation and measurement.

Beyond mean-field dynamics in open Bose-Hubbard chains

We investigate the effects of phase noise and particle loss on the dynamics of a Bose-Einstein condensate in an optical lattice. Starting from the many-body master equation, we discuss the

How an interacting many-body system tunnels through a potential barrier to open space

This work analyzes a full, numerically exact many-body solution of the Schrödinger equation of a one-dimensional system with repulsive interactions tunneling to open space and shows how the emitted particles dissociate or fragment from the trapped and coherent source of bosons.
...