Dynamical Correlation Functions for an Impenetrable Bose gas with open boundary conditions
T. Kojima (RIMS Kyoto University)
TL;DR
This paper derives Fredholm determinant formulas for time and temperature-dependent correlation functions of an impenetrable Bose gas with open boundaries, using Bethe Ansatz, extending previous fermionic results.
Contribution
It introduces new Fredholm determinant formulas for correlation functions of the Bose gas with open boundaries, generalizing earlier fermionic-based results.
Findings
Derived Fredholm determinant formulas for correlation functions.
Extended previous fermionic results to open boundary conditions.
Applicable to time and temperature-dependent cases.
Abstract
We study the time and temperature dependent correlation functions for an impenetrable bose gas with open boundary conditions. We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. In the case of time independent ground state, our Fredholm determinant formulae degenerate to the one which have been obtained by the help of fermions [T. Kojima, J.Stat.Phys.Vol.88,713-(1997)]
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Algebraic structures and combinatorial models · Strong Light-Matter Interactions