Anomalous density in two-dimensional homogeneous Bose gases

Physics – Condensed Matter – Quantum Gases

Scientific paper

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11 pages, 1 figure

Scientific paper

We investigate the behavior of the anomalous density in two dimensional homogenous Bose gas. We find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the anomalous density on some thermodynamic quantities are also considered. These effects can modify in particular the chemical potential, the depletion and the superluid fraction. We show also that the anomalous density presents a significant importance compared to the normal one at zero temperatures. The single-particle anomalous correlation function is expressed in two dimensional homogenous Bose gases by using the density-phase fluctuation. We then confirm that the anomalous average accompanies in analogous manner the true condensate at zero temperature while it doesn't exist at finite temperature.

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