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In this paper a Gaussian impurity moving through an equilibrium Bose-Einstein condensate at T = 0 is studied. The problem can be described by a Gross-Pitaevskii equation, which is solved perturbatively. The analysis is done for systems of 2…

Quantum Gases · Physics 2017-08-23 Florian Pinsker

We study the hydrodynamic forces acting on a small impurity moving in a two-dimensional Bose-Einstein condensate at non-zero temperature. The condensate is modelled by the damped-Gross Pitaevskii (dGPE) equation and the impurity by a…

We study a single impurity driven by a constant force through a 1D Bose gas using a Lieb-Liniger based approach. Our calculaton is exact in the interaction amongst the particles in the Bose gas, and is perturbative in the interaction…

Quantum Gases · Physics 2016-01-20 Claudio Castelnovo , Jean-Sébastien Caux , Steven H. Simon

We consider the motion of a point-like impurity through a three-dimensional two-component Bose-Einstein condensate subject to Weyl spin-orbit coupling. Using linear-response theory, we calculate the drag force felt by the impurity and the…

Quantum Gases · Physics 2016-02-24 Renyuan Liao , Oleksandr Fialko , Joachim Brand , Ulrich Zülicke

The existence of frictionless flow below a critical velocity for obstacles moving in a superfluid is well established in the context of the mean-field Gross-Pitaevskii theory. We calculate the next order correction due to quantum and…

Quantum Gases · Physics 2015-05-13 Andrew G. Sykes , Matthew J. Davis , David C. Roberts

We investigate the drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate. We prove rigorously that the superfluid critical velocity is zero when the impurity moves in all but one directions, in contrast to the…

Quantum Gases · Physics 2015-06-19 Pei-Song He , Yao-Hui Zhu , Wu-Ming Liu

A kinetic theory describing the motion of an impurity particle in a degenerate Tonks-Girardeau gas is presented. The theory is based on the one-dimensional Boltzmann equation. An iterative procedure for solving this equation is proposed,…

Quantum Gases · Physics 2014-10-01 O. Gamayun , O. Lychkovskiy , V. Cheianov

The low-lying eigenstates of a one-dimensional (1D) system of many impenetrable point bosons and one moving impurity particle with repulsive zero-range impurity-boson interaction are found for all values of the impurity-boson mass ratio and…

Other Condensed Matter · Physics 2009-11-13 M. D. Girardeau , A. Minguzzi

We study the quantum motion of an impurity atom immersed in a Bose Einstein condensate in arbitrary dimension. The Bogoliubov excitations of the Bose Einstein condensate act as a bosonic bath for the impurity. We present a detailed…

We study the motion of a heavy impurity in a one-dimensional Bose gas. The impurity experiences the friction force due to scattering off thermally excited quasiparticles. We present detailed analysis of an arbitrarily strong impurity-boson…

Quantum Gases · Physics 2023-11-07 Aleksandra Petković , Zoran Ristivojevic

We study the motion of an impurity under the action of a constant force through a one-dimensional system of weakly-interacting bosons. The interplay of the impurity-boson interaction, the boson-boson interaction, and the driving force gives…

Quantum Gases · Physics 2026-04-09 Saptarshi Majumdar , Aleksandra Petković

Motion of classical point-like impurities in the homogeneous Einstein condensate of bosons is studied in the framework of second quantization method. A toy model is proposed and its general solution within the Bogoliubov approximation is…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Jun Suzuki

We investigate transport dynamics of a single low-energy ionic impurity in a Bose-Einstein condensate. The impurity is implanted into the condensate starting from a single Rydberg excitation, which is ionized by a sequence of fast electric…

We unravel the nonequilibrium correlated quantum quench dynamics of an impurity traveling through a harmonically confined Bose-Einstein condensate in one-dimension. For weak repulsive interspecies interactions the impurity oscillates within…

Quantum Physics · Physics 2019-10-01 S. I. Mistakidis , F. Grusdt , G. M. Koutentakis , P. Schmelcher

The dynamics of an active, finite-size and immiscible impurity in a dilute quantum fluid at finite temperature is characterized by means of numerical simulations of the projected Gross--Pitaevskii equation. The impurity is modeled as a…

Statistical Mechanics · Physics 2021-01-20 Umberto Giuriato , Giorgio Krstulovic

The nonequilibrium dynamics of an impurity immersed with a finite velocity into a one-dimensional system of weakly interacting bosons is studied within the framework of the time-dependent Gross-Pitaevskii equation. We uncover and…

Quantum Gases · Physics 2025-11-27 Saptarshi Majumdar , Aleksandra Petković

In a recent paper, arxiv:1402.6362, Gamayun, Lychkovskiy, and Cheianov studied the dynamics of a mobile impurity embedded into a one-dimensional Tonks-Girardeau gas of strongly interacting bosons. Employing the Boltzmann equation approach,…

Quantum Gases · Physics 2015-09-28 Michael Schecter , Alex Kamenev , Dimitri M. Gangardt

In the Bogoliubov-Fr\"ohlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid…

Mathematical Physics · Physics 2025-02-04 Benjamin Hinrichs , Jonas Lampart

We develop a microscopic theory of a quantum impurity propagating in a one-dimensional Bose liquid. As a result of scattering off thermally excited quasiparticles, the impurity experiences the friction. We find that, at low temperatures,…

Quantum Gases · Physics 2016-09-05 Aleksandra Petković , Zoran Ristivojevic

A model for classical impurities moving in Bose-Einstein Condensate (BEC) is proposed in the framework of quantum field theory and is solved within the Bogoliubov approximation at zero temperature. Several formulae are obtained for physical…

Statistical Mechanics · Physics 2007-05-23 Jun Suzuki
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