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

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.043622· OSTI ID:21544683

Qiong, Li; Bo, Feng; Dingping, Li ^[1]

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1. Department of Physics, Peking University, Beijing 100871 (China)

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.

• OSTI ID: 21544683
• Journal Information: Physical Review. A, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevA.83.043622; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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