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The isotropic scattering phase shift is calculated for non-relativistic bosons interacting at low energies via an arbitrary finite-range potential in d spacetime dimensions. Scattering on a (d-1)-dimensional torus is then considered, and…

Quantum Gases · Physics 2011-04-14 Silas R. Beane

Evolution of periodic matter waves in one-dimensional Bose-Einstein condensates with time dependent scattering length is described. It is shown that variation of the effective nonlinearity is a powerful tool for controlled generation of…

Soft Condensed Matter · Physics 2009-11-10 F. Kh. Abdullaev , A. M. Kamchatnov , V. V. Konotop , V. A. Brazhnyi

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, thermal and disorder fluctuations to the…

Disordered Systems and Neural Networks · Physics 2019-08-06 Redaouia Keltoum , Abdelaali Boudjemaa

The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter $\epsilon$. Under suitable assumptions the solution of the…

Mathematical Physics · Physics 2018-04-18 Sven Bachmann , Wojciech De Roeck , Martin Fraas

We study the superfluid properties of a system of fully polarized dipolar bosons moving in the $xy$ plane. We focus on the general case where the polarization field forms an arbitrary angle $\alpha$ with respect to the $z$ axis, while the…

Quantum Gases · Physics 2017-12-27 R. Bombin , J. Boronat , F. Mazzanti

We study a system of ultra cold dipolar Bose gas atoms confined in a two-dimensional (2D) harmonic trap with a dipolar impurity implanted at the center of the trap. Due to recent experimental progress in dipolar condensates, we focused on…

Quantum Gases · Physics 2025-04-10 Neelam Shukla , Jeremy R Armstrong

We study dipolar Bose-Einstein condensates for a realistic set of parameters close to actual experimental setups with dysprosium. Our analysis is based on the extended Gross-Pitaevskii equation, which we solve numerically exact on a…

Quantum Gases · Physics 2015-12-09 Damir Zajec , Günter Wunner

We theoretically investigate ground-state properties and collective excitations of one-dimensional quantum droplets in asymmetric Bose-Bose mixtures with unequal intraspin interactions. Using the extended Gross-Pitaevskii equation supported…

Quantum Gases · Physics 2026-01-26 Huiyun Xiao , Xinran Zhang , Junli Liu , Xucong Du , Xiao-Long Chen , Yunbo Zhang

We consider a two-dimensional weakly interacting ultracold Bose gas whose constituents are two-level atoms. We study the effects of a synthetic density-dependent gauge field that arises from laser-matter coupling in the adiabatic limit with…

Quantum Gases · Physics 2016-01-20 Salvatore Butera , Manuel Valiente , Patrik Öhberg

We have studied the free expansion of a Bose condensate in which both the usual s-wave contact interaction and the dipole-dipole interaction contribute considerably to the total interaction energy. We calculate corrections due to dipolar…

Condensed Matter · Physics 2007-05-23 Stefano Giovanazzi , Axel Gorlitz , Tilman Pfau

We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically,…

Quantum Gases · Physics 2023-10-23 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

Using linear response theory within the Random Phase Approximation, we investigate the propagation of sound in a uniform two dimensional (2D) Bose gas in the collisionless regime. We show that the sudden removal of a static density…

The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform 1D Bose gas with repulsive contact interactions at finite temperatures. Both long-, medium-, and short-range effects are investigated. The…

Other Condensed Matter · Physics 2015-05-13 P. Deuar , A. G. Sykes , D. M. Gangardt , M. J. Davis , P. D. Drummond , K. V. Kheruntsyan

Nonlinear wave propagation is studied analytically in a dissipative, self-gravitating Bose Einstein condensate, in the framework of Gross-Pitaevskii model. The linear dispersion relation shows that the effect of dissipation is to suppress…

Quantum Gases · Physics 2017-03-27 Biswajit Sahu , Anjana Sinha , R. Roychoudhury

We study the thermal behavior of correlations in a one-dimensional Bose gas with tunable interaction strength, crossing from weakly-repulsive to Tonks-Girardeau regime. A reference temperature in this system is that of the hole anomaly,…

Quantum Gases · Physics 2024-04-04 Giulia De Rosi , Grigori E. Astrakharchik , Maxim Olshanii , Jordi Boronat

The self-diffusion coefficient of a granular gas in the homogeneous cooling state is analyzed near the shearing instability. Using mode-coupling theory, it is shown that the coefficient diverges logarithmically as the instability is…

Statistical Mechanics · Physics 2015-07-02 J. Javier Brey , Maria J. Ruiz-Montero

The dynamic structure factor of a trapped Bose-Einstein condensed gas is investigated at zero temperature in the framework of Bogoliubov theory. Different values of momentum transfer are considered, ranging from the phonon to the…

Condensed Matter · Physics 2009-10-31 F. Zambelli , L. P. Pitaevskii , D. M. Stamper-Kurn , S. Stringari

We study the expansion dynamics of a condensate in a strongly interacting Bose gas in the presence of an obstacle. Our focus is on the generation of shock waves after the Bose gas has passed the obstacle. The strongly interacting Bose gas…

Quantum Gases · Physics 2015-03-17 E. S. Annibale , A. Gammal , K. Ziegler

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

Other Condensed Matter · Physics 2009-11-11 Anna Posazhennikova

Considering a moving vortex line in a dilute atomic Bose-Einstein condensate within time-dependent Hartree-Fock-Bogoliubov-Popov theory, we derive a criterion for the quasiparticle excitations to follow the vortex core rigidly. The…

Statistical Mechanics · Physics 2009-11-07 S. M. M. Virtanen , T. P. Simula , M. M. Salomaa