# Bose-condensed atomic systems with nonlocal interaction potentials

@article{Yukalov2016BosecondensedAS, title={Bose-condensed atomic systems with nonlocal interaction potentials}, author={Vyacheslav I. Yukalov and E. P. Yukalova}, journal={Laser Physics}, year={2016}, volume={26} }

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…

## 14 Citations

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

- PhysicsJournal of Physics B: Atomic, Molecular and Optical Physics
- 2019

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

- Physics
- 2016

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

- Physics
- 2022

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

- PhysicsJournal of Low Temperature Physics
- 2018

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

- PhysicsPhysical Review A
- 2019

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.

- PhysicsPhysical review. E
- 2020

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.

### Influence of quadratic Zeeman effect on spin waves in dipolar lattices

- PhysicsJournal of Magnetism and Magnetic Materials
- 2018

### Spin dynamics in lattices of spinor atoms with quadratic Zeeman effect

- PhysicsThe European Physical Journal D
- 2018

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

- PhysicsJournal 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

- Physics
- 2017

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…

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