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Dynamical Correlation Functions for an Impenetrable Bose gas with open boundary conditions

1997/12/10 by T. Kojima, Takahiro Kojima, Kojima, T.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Strong Light-Matter Interactions #hep-th #math.QA #nlin.SI #q-alg #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9712007

LaTEX, 15 pages

arxiv created 1997/12/10 · openalex publication_date 1997/12/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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