Formulation for the zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation

Y. Nakamura*, J. Takahashi, Y. Yamanaka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The unperturbed Hamiltonian for the Bose-Einstein condensate, which includes not only the first and second powers of the zero mode operators but also the higher ones, is proposed to determine a unique and stationary vacuum at zero temperature. From the standpoint of quantum field theory, it is done in a consistent manner that the canonical commutation relation of the field operator is kept. In this formulation, the condensate phase does not diffuse and is robust against the quantum fluctuation of the zero mode. The standard deviation for the phase operator depends on the condensed atom number with the exponent of -1/3, which is universal for both homogeneous and inhomogeneous systems.

Original languageEnglish
Article number013613
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number1
DOIs
Publication statusPublished - 2014 Jan 16

Keywords

  • 03.75.Hh
  • 03.75.Nt
  • 67.85.-d

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Fingerprint

Dive into the research topics of 'Formulation for the zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation'. Together they form a unique fingerprint.

Cite this