scholarly journals One-dimensional two-component Bose gas and the algebraic Bethe ansatz

2015 ◽  
Vol 183 (3) ◽  
pp. 800-821 ◽  
Author(s):  
N. A. Slavnov
Keyword(s):  
Bethe Ansatz ◽  
Bose Gas ◽  
One Dimensional ◽  
Algebraic Bethe Ansatz ◽  
Two Component

scholarly journals BETHE ANSATZ SOLUTION OF THE CLOSED ANISOTROPIC SUPERSYMMETRIC U MODEL WITH QUANTUM SUPERSYMMETRY

2000 ◽  
Vol 15 (02) ◽  
pp. 133-143 ◽  
Author(s):  
KATRINA HIBBERD ◽  
ITZHAK RODITI ◽  
JON LINKS ◽  
ANGELA FOERSTER
Keyword(s):  
Bethe Ansatz ◽  
One Dimensional ◽  
Algebraic Bethe Ansatz ◽  
Bethe Ansatz Solution ◽  
Closed Lattice

The nested algebraic Bethe Ansatz is presented for the anisotropic supersymmetric U> model maintaining quantum supersymmetry. The Bethe Ansatz equations of the model are obtained on a one-dimensional closed lattice and an expression for the energy is given.

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.

scholarly journals A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas

2016 ◽  
Vol 18 (4) ◽  
pp. 045010 ◽  
Author(s):  
Jan C Zill ◽  
Tod M Wright ◽  
Karén V Kheruntsyan ◽  
Thomas Gasenzer ◽  
Matthew J Davis
Keyword(s):  
Bethe Ansatz ◽  
Bose Gas ◽  
One Dimensional ◽  
The One ◽  
Ansatz Approach ◽  
Nonequilibrium Correlations
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