Equilibrium Fluctuations and Stability of the Condensate of a Degenerate Boson Fluid

Glassgold, A. E.; Sauermann, H.

doi:10.1103/physrev.182.262

Cited by 16 publications

(9 citation statements)

References 24 publications

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“…in that temperature region [40]. Thus, with the proposed equation (32) we obtain the relation δN 2 0 N 0 ≃ T n 0 U (0) (0) 1 + (6 + 2 √ 2) √ π (n 0 a 3 ) 1/2 T n 0 U (0) (0) , (33) which contains the correction term in comparison with Eq. (20).…”

Section: Next-to-leading Order Corrections For the Fluctuationsmentioning

confidence: 80%

“…Note that the approximations used in Ref. [33] lead to the same effect. Thus, the mean-field scheme, applied to the model Hamiltonian (8), is not consistent for calculating the fluctuations, because it does not reproduce the correct answer (20).…”

Section: B Mean-field Calculationsmentioning

confidence: 83%

“…Note that the approximation of the quasi-independent mode was introduced earlier in Ref. [33]. The authors considered the quadratic terms only in operators â and â † in Eq.…”

Section: Approximation Of the Quasi-independent Modementioning

confidence: 99%

“…(n 0 a 3 ) 1/2 T n 0 U (0) (0) , (33) which contains the correction term in comparison with Eq. (20).…”

Section: Next-to-leading Order Corrections For the Fluctuationsmentioning

confidence: 99%

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Condensate fluctuations in the dilute Bose gas

Cherny

2005

Phys. Rev. A

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The fluctuations of a number of particles in the Bose-Einstein condensate are studied in the grand canonical ensemble with an effective single-mode Hamiltonian, which is derived from an assumption that the mode corresponding to the Bose-Einstein condensate does not asymptotically correlate with other modes. The fluctuations are evaluated in the dilute limit with a proposed simple method, which is beyond the mean-field approximation. The accuracy of the latter is estimated; it is shown that the mean-field scheme does not work for the single-mode Hamiltonian, while for the Hartree Hamiltonian it allows us to estimate the condensate fluctuations up to a numerical factor. As a hypothesis, a formula is proposed that relates the fluctuations in the canonical ensemble with that of the grand canonical one.Comment: 8 pages, no figure

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Section: Next-to-leading Order Corrections For the Fluctuationsmentioning

confidence: 80%

Section: B Mean-field Calculationsmentioning

confidence: 83%

“…Note that the approximation of the quasi-independent mode was introduced earlier in Ref. [33]. The authors considered the quadratic terms only in operators â and â † in Eq.…”

Section: Approximation Of the Quasi-independent Modementioning

confidence: 99%

“…(n 0 a 3 ) 1/2 T n 0 U (0) (0) , (33) which contains the correction term in comparison with Eq. (20).…”

Section: Next-to-leading Order Corrections For the Fluctuationsmentioning

confidence: 99%

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Condensate fluctuations in the dilute Bose gas

Cherny

2005

Phys. Rev. A

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“…In the traditional treatments of the interacting Bose gas, pairs of opposite momentum excitations can be created (destroyed) out of (into) the condensate, and one can interpret this effect in terms of squeezing of pairs of opposite-momentum excitations induced by inter-particle interactions. Furthermore, squeezing within the condensate mode itself is another intriguing question, related to higher moments of the condensate-mode annihilation and creation operators [8][9][10][11][12][13][14][15]. Thus, naively the interacting Bose gas displays two types of squeezing super-imposed on properties of a coherent state that would, strictly speaking, only represent the behavior of a non-interacting gas.…”

Section: Introductionmentioning

confidence: 99%

Squeezing in the weakly interacting uniform Bose-Einstein condensate

Haque

Ruckenstein

2006

Phys. Rev. A

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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.

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On the quantum-statistical theory of the interaction of radiation with elementary Boson-type excitations

Teplitskii¹

1971

Theor Math Phys

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Equilibrium Fluctuations and Stability of the Condensate of a Degenerate Boson Fluid

Cited by 16 publications

References 24 publications

Condensate fluctuations in the dilute Bose gas

Condensate fluctuations in the dilute Bose gas

Squeezing in the weakly interacting uniform Bose-Einstein condensate

On the quantum-statistical theory of the interaction of radiation with elementary Boson-type excitations

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