Space correlations in the one-dimensional impenetrable Bose gas at finite temperature

1991 ◽  
Vol 53 (1) ◽  
pp. 187-213 ◽  
Author(s):  
A.R. Its ◽  
A.G. Izergin ◽  
V.E. Korepin
Keyword(s):  
Finite Temperature ◽  
Bose Gas ◽  
One Dimensional ◽  
The One

scholarly journals Nonlocal pair correlations in the one-dimensional Bose gas at finite temperature

2009 ◽  
Vol 79 (4) ◽  
Author(s):  
P. Deuar ◽  
A. G. Sykes ◽  
D. M. Gangardt ◽  
M. J. Davis ◽  
P. D. Drummond ◽  
...  
Keyword(s):  
Finite Temperature ◽  
Bose Gas ◽  
Pair Correlations ◽  
One Dimensional ◽  
The One

Thermodynamics of the Repulsive Lieb–Liniger Model

2019 ◽  
pp. 633-640
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Bethe Ansatz ◽  
Finite Temperature ◽  
Bose Gas ◽  
Main Ingredient ◽  
Ansatz Method ◽  
One Dimensional ◽  
Bethe Ansatz Solution ◽  
The One

This chapter discusses how the Bethe ansatz solution of the one-dimensional Bose gas with repulsive δ‎-function interaction is extended to finite temperatures, the thermody- namic Bethe ansatz. The excitations of this system consist of particle and hole excitations, which can be described by the corresponding densities of Bethe ansatz roots. It shows how these Bethe ansatz root densities are used to define an appropriate expression for the entropy of the system of Bose particles, which is the main ingredient for the extension of the Bethe ansatz method to finite temperature.

Correlation length of the one-dimensional Bose gas

1985 ◽  
Vol 111 (8-9) ◽  
pp. 419-422 ◽  
Author(s):  
N.M. Bogoliubov ◽  
V.E. Korepin
Keyword(s):  
Correlation Length ◽  
Bose Gas ◽  
One Dimensional ◽  
The One

scholarly journals Probing non-thermal density fluctuations in the one-dimensional Bose gas

2017 ◽  
Vol 3 (3) ◽  
Author(s):  
Jacopo De Nardis ◽  
Milosz Panfil ◽  
Andrea Gambassi ◽  
Leticia Cugliandolo ◽  
Robert Konik ◽  
...  
Keyword(s):  
Spatial Dimension ◽  
Bose Gas ◽  
Density Fluctuations ◽  
Dynamical Structure ◽  
Many Body ◽  
Initial State ◽  
One Dimensional ◽  
Fluctuation Dissipation ◽  
Quantum Integrable Models ◽  
The One

Quantum integrable models display a rich variety of non-thermal excited states with unusual properties. The most common way to probe them is by performing a quantum quench, i.e., by letting a many-body initial state unitarily evolve with an integrable Hamiltonian. At late times these systems are locally described by a generalized Gibbs ensemble with as many effective temperatures as their local conserved quantities. The experimental measurement of this macroscopic number of temperatures remains elusive. Here we show that they can be obtained for the Bose gas in one spatial dimension by probing the dynamical structure factor of the system after the quench and by employing a generalized fluctuation-dissipation theorem that we provide. Our procedure allows us to completely reconstruct the stationary state of a quantum integrable system from state-of-the-art experimental observations.

scholarly journals Quantum dark solitons in the one-dimensional Bose gas

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Sophie S. Shamailov ◽  
Joachim Brand
Keyword(s):  
Bose Gas ◽  
One Dimensional ◽  
Dark Solitons ◽  
The One
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