Efficient Thermodynamic Description of Multi-Component One-Dimensional Bose Gases

Abstract

We present a new method of obtaining nonlinear integral equations characterizing the thermodynamics of one-dimensional multi-component gases interacting via a delta-function potential. In the case of the repulsive two-component Bose gas we obtain a simple system of two NLIE allowing for an efficient numerical implementation in contrast with the infinite number of coupled equations obtained by employing the Thermodynamic Bethe Ansatz. Our technique makes use of the Quantum Transfer Matrix and the fact that in a certain continuum limit multi-component gases can be obtained from appropriate anisotropic spin chains.

4.3 pages, RevTeX 4.1

References in corpus (3)

• Many-Body Physics with Ultracold Gases
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas

Cited by in corpus (10)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Universality and quantum criticality of the one-dimensional spinor Bose gas
• The asymptotic Bethe ansatz solution for one-dimensional SU(2) spinor bosons with finite range Gaussian interactions
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture