# Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder

@article{Nikoli2013DipolarBC, title={Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder}, author={Branislav K. Nikoli{\'c} and Antun Balaz and Axel Pelster}, journal={Physical Review A}, year={2013}, volume={88} }

Here we study properties of a homogeneous dipolar Bose-Einstein condensate in a weak anisotropic random potential with Lorentzian correlation at zero temperature. To this end we solve perturbatively the Gross-Pitaevskii equation to second order in the random potential strength and obtain analytic results for the disorder ensemble averages of both the condensate and the superfluid depletion, the equation of state, and the sound velocity. For a pure contact interaction and a vanishing correlation… Expand

#### 29 Citations

Superfluidity and Bose–Einstein Condensation in a Dipolar Bose Gas with Weak Disorder

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We investigate the properties of a three-dimensional homogeneous dipolar Bose gas in a weak random potential with a Gaussian correlation function at finite temperature. Using the Bogoliubov theory… Expand

Dirty bosons in a three-dimensional harmonic trap

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We study a three-dimensional Bose-Einstein condensate in an isotropic harmonic trapping potential with an additional delta-correlated disorder potential at both zero and finite temperature and… Expand

Dirty bosons in a quasi-one-dimensional harmonic trap

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The time-independent Gross-Pitaevskii equation describing a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential… Expand

Thermodynamics of a two-dimensional dipolar Bose gas with correlated disorder in the roton regime

- Physics
- 2016

We study the impact of a weak random potential with a Gaussian correlation function on the thermodynamics of a two-dimensional dipolar bosonic gas. Analytical expressions for the quantum depletion,… Expand

Cloud shape of a molecular Bose–Einstein condensate in a disordered trap: a case study of the dirty boson problem

- Physics
- 2019

We investigate, both experimentally and theoretically, the static geometric properties of a harmonically trapped Bose-Einstein condensate of ${}^6$Li$_2$ molecules in laser speckle potentials.… Expand

Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity

- Physics
- 2020

We study the properties of a homogeneous dilute Bose-Bose gas in a weak-disorder potential at zero temperature. By using the perturbation theory, we calculate the disorder corrections to the… Expand

Effects of the Lee-Huang-Yang quantum corrections on a disordered dipolar Bose gas

- Physics, Mathematics
- The European Physical Journal B
- 2019

Abstract
We study the behavior of a quantum dipolar Bose condensate with the Lee-Huang-Yang quantum corrections at zero temperature in the presence of weak disorder potential. We solve the underlying… Expand

Dipolar Bose gas with three-body interactions in weak disorder

- Physics
- The European Physical Journal D
- 2019

Abstract
We study effects of weak disorder with Gaussian correlation function on a dipolar Bose gas with three-body interactions using the Hartree-Fock-Bogoliubov theory. Corrections due to quantum,… Expand

Hartree-Fock Mean-Field Theory for Trapped Dirty Bosons

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Here we work out in detail a non-perturbative approach to the dirty boson problem, which relies on the Hartree-Fock theory and the replica method. For a weakly interacting Bose gas within a trapped… Expand

Bogoliubov theory of dipolar Bose gas in a weak random potential

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- 2014

We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature… Expand

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