Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

Abstract

We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, Môri and Sato as a generalization of the fifth Painlevé equations.

LaTEX file, 27 pages, to appear in J. Stat. Phys. (1997)

References in corpus (1)

• XXZ chain with a boundary

Cited by in corpus (7)

• Quantum transport of strongly interacting photons in a one-dimensional nonlinear waveguide
• Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable Bosons
• Painlevé Functions in Statistical Physics
• $U_q({\widehat{sl}}_n)$-analog of the XXZ chain with a boundary
• Dynamical Correlation Functions for an Impenetrable Bose gas with open boundary conditions
• Form factors of the SU(2) invariant massive Thirring model with boundary reflection
• Dynamical correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions