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Condensed Matter Physics

Soluble model of Bose-atoms with two level internal structure: non-conventional Bose-Einstein condensation

Corgini, Дмитрий Петрович Санкович

Published Jan 1, 2010• 2 citations
Publisher

Abstract

For a Bose atom system whose energy operator is diagonal in the so-called number operators and its ground state has an internal two-level structure with negative energies, exact expressions for the limit free canonical energy and pressure are obtained.The existence of non-conventional Bose-Einstein condensation has been also proved.
DOI
10.5488/cmp.13.43003

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In this work we show that the introduction of a U(1) symmetry breaking field in the energy operator of the boson-free gas, is equivalent, in the thermodynamic limit, to the inclusion, in the Hamiltonian of the ideal gas, of a non-linear function of the number operator associated with the zero mode. In other words, the limit pressures coincide. Moreover, both models undergo non conventional Bose-Einstein condensation (BEC) for strictly negative values of the chemical potential μ.μ.μ. Finally, the proof of equivalence of limit pressures is extended to a class of full-diagonal models.