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

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 longrange 1/r coupling constants (ɛdd = gd/g and C). The 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.

Three-body and Coulomb interactions in a quasi two-dimensional dipolar Bose condensed gas

“…( 22) and Fig. (3), the temperature dependence of the thermal noncondensate fraction at low temperature is linear, which is in agreement with the analytical results in [31,37]. In addition, by increasing the three-body and Coulomb interactions, decreasing the thermal noncondensate fraction is obvious.…”

“…The finite temperature noncondensate fraction shows a linear behavior at low temperature limits confirming an agreement with Refs. [31,37]. Increasing both the three-body and Coulomb interactions will decrease the finite temperature noncondensate fraction.…”

“…It is a repulsive Coulomb interaction of charged atoms (C > 0) and, in addition to the TBI, is the focus of this paper. The effect of this interaction has been studied on the transport properties [29], damping [30] and analytical depletion of the condensates [31] as well as the appearance of the bipolarons [32] and the ground state energy of the system [33]. To the best of our knowledge the effect of Coulomb interaction in the presence of TBI on the depletion and energy spectrum or the roton-maxon structure of the dipolar Bose condensate have never been studied.…”

Collective excitation of quantum droplet with different ranges of the interaction of Pöschl-Teller potential

“…New quantum phases like droplet and supersolid states are also generated [28][29][30]. The pair potential also describes the Coulomb interaction, which is a long-range interaction [31][32][33]. In the absence of contact interactions and DDI, infrared-divergent components are exactly eliminated in the Hartree-Fock-Bogoliubov (HFB) shift of the single particle excitation energy [34].…”