Dissipative two-mode Bose–Einstein condensate coupled to the environment

Rajagopal, Kalai Kumar

doi:10.1016/j.physa.2015.02.059

Cited by 6 publications

(3 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we must note that the formalism we present can be used for any second-quantized bosonic Hamiltonian. For the environment we follow the usual convention that it can be simulated by an infinite collection of harmonic oscillators [169,170] …”

Section: The Coherent-state Path Integral Formalism For Open Systemsmentioning

confidence: 99%

The dissipative Bose-Hubbard model

Kordas

Witthaut

Buonsante

et al. 2015

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

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 counterintuitive 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.

show abstract

Section: The Coherent-state Path Integral Formalism For Open Systemsmentioning

confidence: 99%

The dissipative Bose-Hubbard model

Kordas

Witthaut

Buonsante

et al. 2015

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

show abstract

“…Although usually the atomic interaction plays a crucial role in dynamics of ultra-cold atomic gases, the free atom gases, without atomic interaction is still an important model to be considered, especially for analytical solutions. [28,35,36] In this Letter, an analytical solution for a twomode Bose-Hubbard model with phase dissipation is presented by solving the master equation. Compared with results in Refs.…”

mentioning

confidence: 99%

“…Compared with results in Refs. [28,35,36] a bias of the two modes and phase noise are considered, while the atom exchanging with the environment is not considered. We focus on the effects of phase dissipation and asymmetry of two-mode on oscillation period and oscillation amplitude by using the analytical method.…”

mentioning

confidence: 99%

Phase Dissipation of an Open Two-Mode Bose–Einstein Condensate

Li¹,

Li²

2017

Chinese Phys. Lett.

View full text Add to dashboard Cite

We study the dynamics of a two-mode Bose–Hubbard model with phase dissipation, based on the master equation. An analytical solution is presented with nonzero asymmetry and phase noise. The effects of asymmetry and phase noise play a contrasting role in the dynamics. The asymmetry makes the oscillation fast, while phase noise enlarges the period. The conditions for the cases of fast decay and oscillation are presented. As a possible application, the dynamical evolution of the population for cold atomic gases with synthetic gauge interaction, which can be understood as two-mode dynamics in momentum space, is predicted.

show abstract

Non-equilibrium Dynamics of a Double-well Bose–Einstein Condensate-dual Reservoir System

Rajagopal

Ibragimov

2021

Braz J Phys

View full text Add to dashboard Cite

Dissipative two-mode Bose–Einstein condensate coupled to the environment

Cited by 6 publications

References 21 publications

The dissipative Bose-Hubbard model

The dissipative Bose-Hubbard model

Phase Dissipation of an Open Two-Mode Bose–Einstein Condensate

Non-equilibrium Dynamics of a Double-well Bose–Einstein Condensate-dual Reservoir System

Contact Info

Product

Resources

About