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Title: Quantum fluctuations of the vortex-lattice state in an ultrafast rotating Bose gas

Abstract

Quantum fluctuations in an ultrafast rotating Bose gas at zero temperature are investigated. We calculate the condensate density perturbatively to show that no condensate is present in the thermodynamic limit. The excitation from Gaussian fluctuations around the mean-field solution causes infrared divergences in loop diagrams, nevertheless, in calculating the atom number density, the correlation functions and the free energy, we find that the sum of the divergences in the same loop order vanishes and we obtain finite physical quantities. The long-range correlation is explored and the algebraic decay exponent for the single-particle correlation function is obtained. The atom number density distribution is obtained at the one-loop level, which illustrates the quantum fluctuation effects to melt the mean-field vortex lattice. By the nonperturbative Gaussian variational method, we locate the spinodal point of the vortex-lattice state.

Authors:
; ;  [1]
  1. Department of Physics, Peking University, Beijing 100871 (China)
Publication Date:
OSTI Identifier:
21544683
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.83.043622; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; BOSE-EINSTEIN GAS; CORRELATION FUNCTIONS; DENSITY; EXCITATION; FLUCTUATIONS; FREE ENERGY; INFRARED DIVERGENCES; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; QUANTUM MECHANICS; TEMPERATURE ZERO K; VARIATIONAL METHODS; CALCULATION METHODS; ENERGY; ENERGY-LEVEL TRANSITIONS; FUNCTIONS; MECHANICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; VARIATIONS

Citation Formats

Qiong, Li, Bo, Feng, and Dingping, Li. Quantum fluctuations of the vortex-lattice state in an ultrafast rotating Bose gas. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.043622.
Qiong, Li, Bo, Feng, & Dingping, Li. Quantum fluctuations of the vortex-lattice state in an ultrafast rotating Bose gas. United States. https://doi.org/10.1103/PHYSREVA.83.043622
Qiong, Li, Bo, Feng, and Dingping, Li. 2011. "Quantum fluctuations of the vortex-lattice state in an ultrafast rotating Bose gas". United States. https://doi.org/10.1103/PHYSREVA.83.043622.
@article{osti_21544683,
title = {Quantum fluctuations of the vortex-lattice state in an ultrafast rotating Bose gas},
author = {Qiong, Li and Bo, Feng and Dingping, Li},
abstractNote = {Quantum fluctuations in an ultrafast rotating Bose gas at zero temperature are investigated. We calculate the condensate density perturbatively to show that no condensate is present in the thermodynamic limit. The excitation from Gaussian fluctuations around the mean-field solution causes infrared divergences in loop diagrams, nevertheless, in calculating the atom number density, the correlation functions and the free energy, we find that the sum of the divergences in the same loop order vanishes and we obtain finite physical quantities. The long-range correlation is explored and the algebraic decay exponent for the single-particle correlation function is obtained. The atom number density distribution is obtained at the one-loop level, which illustrates the quantum fluctuation effects to melt the mean-field vortex lattice. By the nonperturbative Gaussian variational method, we locate the spinodal point of the vortex-lattice state.},
doi = {10.1103/PHYSREVA.83.043622},
url = {https://www.osti.gov/biblio/21544683}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 83,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2011},
month = {Fri Apr 15 00:00:00 EDT 2011}
}