Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium

Alvise Bastianello, Maksims Arzamasovs, Dimitri M. Gangardt

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3 Citations (Scopus)


We present a semiclassical treatment of one-dimensional many-body quantum systems in equilibrium, where quantum corrections to the classical field approximation are systematically included by a renormalization of the classical field parameters. Our semiclassical approximation is reliable in the limit of weak interactions and high temperatures. As a specific example, we apply our method to the interacting Bose gas and study experimentally observable quantities, such as correlation functions of bosonic fields and the full counting statistics of the number of particles in an interval. Where possible, our method is checked against exact results derived from integrability, showing excellent agreement.

Original languageEnglish
Article number245157
JournalPhysical Review B
Issue number24
Publication statusPublished - 15 Jun 2020

Bibliographical note

Funding Information:
We are grateful to F. S. Møller for helpful discussions and pointing out relevant experimental references. A.B. acknowledges support from the European Research Council (ERC) under ERC Advanced Grant No. 743032 DYNAMINT. M.A. acknowledges support from the China Postdoctoral Science Foundation under the Grant No. 210633, the National Natural Science Foundation of China (NSFC) under the Grant No. 11950410491, and Xi'an Jiaotong University Fundamental Research Fund under the Grant No. 1191329138.

Publisher Copyright:
© 2020 American Physical Society.

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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