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Bose-Einstein condensation in an exactly soluble system of interacting particles

O. Penrose

Journal of Statistical PhysicsMay 1, 199139 citations

A model with coexistence of two kinds of Bose condensation

J.-B. Bru, Valentin Anatol'evich Zagrebnov

We present an exactly soluble boson model which manifests two kinds of condensation. They occur in two stages: for intermediate densities one has a non-conventional Bose condensation in the lowest mode k = 0, which is due to a diagonal perturbation of the imperfect Bose gas Hamiltonian, whereas for large densities , this condensation coexists with conventional (generalized, non-extensive) Bose-Einstein condensation in non-zero modes condensation, corresponding to the standard mechanism of saturation.We present an exactly soluble boson model which manifests two kinds of condensation. They occur in two stages: for intermediate densities one has a non-conventional Bose condensation in the lowest mode k = 0, which is due to a diagonal perturbation of the imperfect Bose gas Hamiltonian, whereas for large densities , this condensation coexists with conventional (generalized, non-extensive) Bose-Einstein condensation in non-zero modes condensation, corresponding to the standard mechanism of saturation.

Journal of Physics A Mathematical and GeneralJan 7, 200027 citations

On the generalized Bose-Einstein condensation

Sergio Curilef

Physics Letters AJul 1, 199625 citations

Equilibrium properties of a mixture of reacting gases: A soluble model

H. J. Kreuzer

We calculate exactly the equilibrium properties of a large system consisting of two kinds of Bose particles, a and b, that can be transformed into each other by an external field. The enhancement in the specific heat around the threshold (internal excitation) energy of the b particles is studied as a function of the external field strength, and the mass–action law is derived. Bose–Einstein condensation can occur in our mixture of reacting gases at a transition temperature lower than that of a one-component ideal gas. Also, the condensate occupancy increases faster than T3/2 as the temperature is lowered.We calculate exactly the equilibrium properties of a large system consisting of two kinds of Bose particles, a and b, that can be transformed into each other by an external field. The enhancement in the specific heat around the threshold (internal excitation) energy of the b particles is studied as a function of the external field strength, and the mass–action law is derived. Bose–Einstein condensation can occur in our mixture of reacting gases at a transition temperature lower than that of a one-component ideal gas. Also, the condensate occupancy increases faster than T3/2 as the temperature is lowered.

American Journal of PhysicsOct 1, 19760 citations

The Equilibrium States for a Model with Two Kinds of Bose Condensation

J.-B. Bru, Bruno Nachtergaele, Valentin Anatol'evich Zagrebnov

arXiv:math-ph/0201029Journal of Statistical PhysicsOct 1, 200212 citations

Bose-Einstein condensation of two interacting particles

M. A. Cirone, Krzysztof Góral, Kazimierz Rza̧żewski +1 more

We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and the characteristic temperature are computed exactly in the soluble models of two interacting atoms.

arXiv:cond-mat/0006359Journal of Physics B Atomic Molecular and Optical PhysicsNov 23, 200124 citations

Exactly soluble model with two kinds of Bose–Einstein condensations

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Exactly soluble model with two kinds of Bose–Einstein condensations

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