Fizika Nizkikh Temperatur: Volume 45, Number 11 (November 2019), p. 1397-1402    ( to contents , go back )

Effect of long-range 1/r interaction on thermal and quantum depletion of a dipolar quasi-two-dimensional Bose gas

Moulud Tamaddonpur, Heshmatollah Yavari, and Zahra Saeidi

Department of Physics, University of Isfahan, Isfahan 81746, Iran
E-mail: h.yavary@sci.ui.ac.ir

Received March 4, 2019, revised June 18, 2019, published online September 27, 2019

Abstract

The depletion of a quasi-two-dimensional (quasi-2D) dipolar Bose condensed gas in the presence of both contact and long-range 1/r interactions is investigated in the framework of Hartree–Fock–Bogoliubov (HFB) approximation. When the characteristic wavelength of a mode is much larger than the trap size, the dipole-dipole (DD) interaction can be treated as a contact interaction and in the low momentum limit the long-range nature of the 1/r interaction has the dominant contribution and leads to the nonlinear (nonphononic) dispersion relation. We will show that quantum depletion is temperature independent and is determined by the contact, DD and long-range 1/r coupling constants (εdd = gd/g and C). The small momentum behavior of the quantum depletion is affected by long-range 1/r interaction and at large momentum limits the momentum dependence of quantum depletion unaffected by 1/r interaction.

Key words: dipolar Bose condensed, long-range interactions, quantum and thermal depletion.

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