JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR: "Lieb-Liniger Bose gas as the non-relativistic limit of the sinh-Gordon model"

[statphys]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

Tuesday, 17 November 2009   -   11:00 hrs

Lecture Room D
SISSA Main Building

Marton KORMOS
(S.I.S.S.A. Trieste)

"Lieb-Liniger Bose gas as the non-relativistic limit of the sinh-Gordon 
model"

Abstract
Due to recent experimental achievements with trapped ultracold atoms, 
the properties of the 1D non-relativistic Bose gas are of great 
interest. In many experimental setups the behaviour of the particles is 
very well described by the Lieb-Liniger model which in many aspects can 
be regarded as a theoretical benchmark in the research of integrable 
models. In spite of its integrability, calculating correlation functions 
in the model is notoriously difficult. In the talk I will propose a 
novel approach to compute expectation values and other physical 
quantities in the Lieb-Liniger model. The method is based on the fact 
that in the repulsive case the S-matrix, the Lagrangian and the 
operators can be obtained from a certain non-relativistic limit of the 
sinh-Gordon model. This observation allows us to compute expectation 
values both at zero and finite temperature. Among other results, I 
present the computation of the three-body correlation function at finite 
temperature, which is closely related to the recombination rate of the gas.