Nonideal Bose Gases: Correlation Inequalities and Bose Condensation

Bernal, Argelia; Corgini, M.; Sankovich, D. P.

doi:10.1023/b:tamp.0000029708.30746.56

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“…For k = 2 a variation of this kind of models has been extensively studied in refs. [1,2,3,4] by using different mathematical techniques. (In contrast to the Bru-Zagrebnov model [2], the Hamiltonian we consider contains a specific nonlinear mean-field term (see also [5])).…”

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confidence: 99%

Bogolyubov approximation for diagonal model of an interacting Bose gas

Corgini¹,

Sankovich²

2007

Physics Letters A

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We study, using the Bogolyubov approximation, the thermodynamic behaviour of a superstable Bose system whose energy operator in the second-quantized form contains a nonlinear expression in the occupation numbers operators. We prove that for all values of the chemical potential satisfying $\mu > \lambda(0)$, where $\lambda (0)\leq 0$ is the lowest energy value, the system undergoes Bose--Einstein condensation

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confidence: 99%