Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Theoretical and Mathematical Physics

Correlation functions of one-dimensional Bose gas in thermodynamic equilibrium

N. M. Bogoliubov, V. E. Korepin

Published Aug 1, 1984• 7 citations
Publisher
DOI
10.1007/bf01018981

Related papers

Field correlation functions in a one-dimensional Bose gas

Anatoli G. Izergin, V. E. Korepin, Nicolai Reshetikhin

Journal of Mathematical Sciences•Jul 1, 1989•2 citations

Correlation function of fields in one-dimensional Bose-gas

V. E. Korepin, N. A. Slavnov

Communications in Mathematical Physics•Mar 1, 1991•24 citations

Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas

Stefan Trotzky, Y-A. Chen, Andreas Flesch +4 more

arXiv:1101.2659•Nature Physics•Feb 17, 2012•1,057 citations

Correlation function of currents in a one-dimensional Bose gas

V. E. Korepin, N. A. Slavnov

Theoretical and Mathematical Physics•Sep 1, 1986•7 citations

Equilibrium and Nonequilibrium Behaviours of 1D Bose Gases

Yiyuan Fang

One-dimensional quantum many-body systems exhibit peculiar and intriguing behaviors as a consequence of the reduced dimensionality, which enhances the effect of fluctuations and correlations. The high degree of isolation and controllability of experiments manipulating ultra-cold atomic gases allows for the experimental simulation of text-book models, for which many theory tools are available for quantitative comparison. I will present instances of such efforts carried out during my PhD thesis, namely, the studies performed to investigate the behavior of 1D Bose gas (Lieb-Liniger gas) at equilibrium and beyond. An overview of the toolbox available to date to characterize the equilibrium thermodynamics of a Lieb-Liniger gas will be shown, followed by a detailed study of the breathing mode of such a system.

•Oct 1, 2014•0 citations

Integral equations for the correlation functions of the quantum one-dimensional Bose gas

N. A. Slavnov

The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics. These equations are closely related to the thermodynamic Bethe Ansatz equations. In the low temperature limit the solutions of these equations are given in terms of observables of the model. 1

•Jan 1, 1998•10 citations
One-dimensional quantum many-body systems exhibit peculiar and intriguing behaviors as a consequence of the reduced dimensionality, which enhances the effect of fluctuations and correlations. The high degree of isolation and controllability of experiments manipulating ultra-cold atomic gases allows for the experimental simulation of text-book models, for which many theory tools are available for quantitative comparison. I will present instances of such efforts carried out during my PhD thesis, namely, the studies performed to investigate the behavior of 1D Bose gas (Lieb-Liniger gas) at equilibrium and beyond. An overview of the toolbox available to date to characterize the equilibrium thermodynamics of a Lieb-Liniger gas will be shown, followed by a detailed study of the breathing mode of such a system.