Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-01-14
Physics
Condensed Matter
Quantum Gases
14 pgaes, 4 figures
Scientific paper
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 the sum of the divergences in the same loop order vanishes and 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 non-perturbative Gaussian variational method, we locate the spinodal point of the vortex-lattice state.
Feng Bo
Li Dingping
Li Qiong
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