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We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic…

Quantum Gases · Physics 2019-07-18 S. I. Mistakidis , A. G. Volosniev , N. T. Zinner , P. Schmelcher

A system of bosons in a harmonic trap is cooled via their interactions with a thermal reservoir. We derive the master equation that governs the evolution of the system and may describe diverse physical situations: laser cooling, symphatetic…

Quantum Physics · Physics 2009-11-06 M. Lewenstein , J. I. Cirac , L. Santos

We study the dynamics in a one dimensional hard-core Bose gas with power-law hopping after an abrupt reduction of the hopping range using the time-dependent density-matrix renormalization group (t-DMRG) and bosonization techniques. In…

Quantum Gases · Physics 2014-11-26 Masaki Tezuka , Antonio M. García-García , Miguel A. Cazalilla

The collective oscillations of 1D repulsive Bose gas with external harmonic confinement in two different regimes are studied. The first regime is the mean field regime when the density is high. The second regime is the Tonks-Girardeau…

Other Condensed Matter · Physics 2009-11-10 F. Kh. Abdullaev , J. Garnier

We describe the relaxation dynamics of a coherently split one-dimensional (1D) Bose gas in the harmonic approximation. A dephased, prethermalized state emerges in a light-cone-like evolution which is connected to the spreading of…

Quantum Physics · Physics 2014-05-29 Remi Geiger , Tim Langen , Igor Mazets , Jörg Schmiedmayer

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

Quantum Gases · Physics 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha

We calculate the density profiles and density correlation functions of the one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature solutions for the uniform case, and applying a local density approximation. The…

Statistical Mechanics · Physics 2009-11-11 K. V. Kheruntsyan , D. M. Gangardt , P. D. Drummond , G. V. Shlyapnikov

We study a gas of bosonic dipolar atoms in the presence of a transverse harmonic trapping potential by using an improved variational Bethe ansatz, which includes the transverse width of the atomic cloud as a variational parameter. Our…

Quantum Gases · Physics 2023-03-07 Stefania De Palo , Edmond Orignac , Roberta Citro , Luca Salasnich

We investigate the propagation of density-wave packets in a Bose-Hubbard model using the adaptive time-dependent density-matrix renormalization group method. We discuss the decay of the amplitude with time and the dependence of the velocity…

Other Condensed Matter · Physics 2009-11-10 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

We study the out-of-equilibrium dynamics of a weakly interacting one-dimensional Bose gas in a box trap, subjected to a drive realized by a periodically oscillating linear potential. After a transient regime, the gas reaches a quasi-steady…

Quantum Gases · Physics 2026-03-27 Manon Ballu , Romain Dubessy , Aurélien Perrin , Hélène Perrin , Anna Minguzzi

Here we describe a weakly interacting Bose gas on a curved manifold, which is embedded in the three-dimensional Euclidean space.~To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the…

Bose gases confined in highly-elongated harmonic traps are investigated over a wide range of interaction strengths using quantum Monte Carlo techniques. We find that the properties of a Bose gas under tight transverse confinement are well…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , D. Blume , S. Giorgini , B. E. Granger

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

We study the evolution inside a harmonic trap of Bose-Einstein condensates released from the periodic potential of an optical lattice. After a time-of-flight, harmonic motion of the interference peaks is observed as well as a breathing…

Soft Condensed Matter · Physics 2007-05-23 J. H. Müller , O. Morsch , M. Cristiani , D. Ciampini , E. Arimondo

We study the expansion of harmonically trapped bosons in a two-dimensional lattice after suddenly turning off the confining potential. We show that, in the presence of multiple occupancies per lattice site and strong interactions, the…

Quantum Gases · Physics 2014-06-05 Andrew Jreissaty , Juan Carrasquilla , Marcos Rigol

In this work, we study the free decay of a turbulent trapped Bose gas by analyzing the temporal evolution of density variations extracted from absorption images. We introduce a parameter $\delta$ as a simple and experimentally accessible…

We calculate how correlations in a Bose lattice gas grow during a finite speed ramp from the Mott to the Superfluid regime. We use an interacting doublon-holon model, applying a mean-field approach for implementing hard-core constraints…

Quantum Gases · Physics 2016-02-03 Yariv Yanay , Erich J. Mueller

We calculate the dynamic structure factor S(q,omega) of a one-dimensional (1D) interacting Bose gas confined in a harmonic trap. The effective interaction depends on the strength of the confinement enforcing the 1D motion of atoms;…

Quantum Gases · Physics 2015-05-13 Vitaly N. Golovach , Anna Minguzzi , Leonid I. Glazman

We present a mathematically rigorous analysis of the ground state of a dilute, interacting Bose gas in a three-dimensional trap that is strongly confining in one direction so that the system becomes effectively two-dimensional. The…

Mathematical Physics · Physics 2007-05-23 K. Schnee , J. Yngvason

The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , B. B. Baizakov , V. V. Konotop