Exact Local Correlations and Full Counting Statistics for Arbitrary States of the One-Dimensional Interacting Bose Gas

Alvise Bastianello, Lorenzo Piroli, and Pasquale Calabrese
Phys. Rev. Lett. 120, 190601 – Published 10 May 2018

Abstract

We derive exact analytic expressions for the n-body local correlations in the one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the thermodynamic limit. Our results are valid for arbitrary states of the model, including ground and thermal states, stationary states after a quantum quench, and nonequilibrium steady states arising in transport settings. Calculations for these states are explicitly presented and physical consequences are critically discussed. We also show that the n-body local correlations are directly related to the full counting statistics for the particle-number fluctuations in a short interval, for which we provide an explicit analytic result.

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  • Received 13 February 2018
  • Revised 20 March 2018

DOI:https://doi.org/10.1103/PhysRevLett.120.190601

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Alvise Bastianello, Lorenzo Piroli, and Pasquale Calabrese

  • SISSA and INFN, via Bonomea 265, 34136 Trieste, Italy

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Issue

Vol. 120, Iss. 19 — 11 May 2018

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