Squeezing in the weakly interacting uniform Bose condensate

Abstract

We investigate the presence of squeezing in the weakly repulsive uniform Bose gas, in both the condensate mode and in the nonzero opposite-momenta mode pairs, using two different variational formulations. We explore the U(1) symmetry breaking and Goldstone's theorem in the context of a squeezed coherent variational wavefunction, and present the associated Ward identity. We show that squeezing of the condensate mode is absent at the mean field Hartree-Fock-Bogoliubov level and emerges as a result of fluctuations about mean field as a finite volume effect, which vanishes in the thermodynamic limit. On the other hand, the squeezing of the excitations about the condensate survives the thermodynamic limit and is interpreted in terms of density-phase variables using a number-conserving formulation of the interacting Bose gas.

8 pages, 3 figures. Version 2 (Sept'06): expanded discussions

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Cited by in corpus (5)

• Quantum-field dynamics of expanding and contracting Bose-Einstein condensates
• Coherence lifetimes of excitations in an atomic condensate due to the thin spectrum
• Failure of the displaced-squeezed state for spin-boson models in the thermodynamic limit
• Effects of Zero Mode and Thin Spectrum on the Life Time of Atomic Bose Einstein Condensates
• Bose condensation of squeezed light