Bose-condensed atomic systems with nonlocal interaction potentials

  title={Bose-condensed atomic systems with nonlocal interaction potentials},
  author={Vyacheslav I. Yukalov and E. P. Yukalova},
  journal={Laser Physics},
The general approach for describing systems with a Bose–Einstein condensate, where atoms interact through nonlocal pair potentials, is presented. Special attention is paid to nonintegrable potentials, such as the dipolar interaction potential. The potentials that are not absolutely integrable can have not well-defined Fourier transforms. Using formally these not defined Fourier transforms leads to unphysical conclusions. To make the Fourier transform well defined, the interaction potential has… 

Weakly bound solitons and two-soliton molecules in dipolar Bose–Einstein condensates

Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are

Infrared Behavior of Dipolar Bose Systems at Low Temperatures

We rigorously discuss the infrared behavior of the uniform three-dimensional dipolar Bose systems. In particular, it is shown that low-temperature physics of the system is controlled by two

The transition from Bose-Einstein condensate to supersolid states in Rydberg-dressed gases beyond Bogoliubov approximation

In this paper, we study Bose-Einstein condensation of Rydberg-dressed atoms considering finite range interactions. We use Hartree-Fock-Bogoliubov approximation based on Mean-Field approach. Moreover,

Binary Mixture of Quasi-One-Dimensional Dipolar Bose–Einstein Condensates with Tilted Dipoles

We consider a $$^{168}$$168Er–$$^{164}$$164Dy dipolar mixture, trapped by a cigar-shaped harmonic potential. We derive the quasi-1D interspecies effective potential exhibiting the tilting angles and

Low-density expansions for the homogeneous dipolar Bose gas at zero temperature

The low-density expansions for the energy, chemical potential, and condensate depletion of the homogeneous dilute dipolar Bose gas are obtained by regularizing the dipole-dipole interaction at long

Double-layer Bose-Einstein condensates: A quantum phase transition in the transverse direction, and reduction to two dimensions.

The procedure of the spatial-dimension reduction, 3D → 2D, produces very accurate results, and it may be used in other settings, andIt is shown that the threshold for the onset of the collapse, predicted by the 2D NPSE, is virtually identical to its counterpart obtained from the 3D equation.

Spin dynamics in lattices of spinor atoms with quadratic Zeeman effect

Abstract A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the

From optical lattices to quantum crystals

  • I. Yukalov
  • Physics
    Journal of Physics: Conference Series
  • 2020
Optical lattices can be loaded with atoms which can have strong interactions, such that the interaction of atoms at different lattice sites cannot be neglected. Moreover, the intersite interactions

Statics and dynamics of a self-bound dipolar matter-wave droplet

We study the statics and dynamics of a stable, mobile, self-bound three-dimensional dipolar matter-wave droplet created in the presence of a tiny repulsive three-body interaction. In frontal



Bose–Einstein condensation in self-consistent mean-field theory

There is a wide-spread belief in the literature on Bose–Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition,

Pseudopotential treatment of two aligned dipoles under external harmonic confinement

Dipolar Bose and Fermi gases, which are currently being studied extensively experimentally and theoretically, interact through anisotropic, long-range potentials. Here, we replace the long-range

Colloquium : Weakly interacting, dilute Bose gases in 2D

This article surveys a number of theoretical problems and open questions in the field of twodimensional dilute Bose gases with weak repulsive interactions. In contrast to three dimensions, in two

Bose-Einstein Condensation in Dilute Gases

1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8.

Statistical mechanics of strongly nonideal systems.

  • Yukalov
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1990
An alternative approach for treating strongly interacting statistical systems with strongly singular potentials is developed, which combines both the advantages of decoupling procedures for Green functions and perturbation theory, which is a regular procedure that makes it possible to construct subsequent approximations above the chosen decouplings.

Condensed matter theory of dipolar quantum gases.

This article provides a summary of recent work focused on many-body properties of dipolar systems, including: weakly interacting Bose gases, weakly interaction Fermi gases, multilayer systems, strongly interacting dipolar gases and Dipolar gases in 1D and quasi-1D geometries.

Fermi-Bose mapping for one-dimensional Bose gases

One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent