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We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions,…

Mathematical Physics · Physics 2015-04-14 Douglas Lundholm , Fabian Portmann , Jan Philip Solovej

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

We consider an equilibrium single-species homogeneous Bose gas from which a proportion of the atoms are instantaneously and coherently transferred to a second species, thereby forming a binary Bose gas in a non-equilibrium initial state. We…

Quantum Gases · Physics 2015-06-22 R. W. Pattinson , N. P. Proukakis , N. G. Parker

We consider the non-equilibrium dynamics of two-component one dimensional quantum gases in the limit of extreme population imbalance where the minority species has but a single particle. We consider the situation where the gas is prepared…

Quantum Gases · Physics 2019-11-06 Neil J. Robinson , Jean-Sébastien Caux , Robert M. Konik

We explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where…

Quantum Gases · Physics 2015-06-11 Ioannis Brouzos , Peter Schmelcher

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 study the behaviour of an ultracold atomic gas of bosons in a bichromatic lattice, where the weaker lattice is used as a source of disorder. We numerically solve a discretized mean-field equation, which generalizes the one-dimensional…

Quantum Gases · Physics 2009-12-11 Marco Larcher , Franco Dalfovo , Michele Modugno

Nonuniversal effects due to leading effective-range corrections are computed for the ground-state energy of the weakly-coupled repulsive Bose gas in two spatial dimensions. Using an effective field theory of contact interactions, these…

Quantum Gases · Physics 2018-04-02 Silas R. Beane

We study the statistical mechanics of a two-dimensional gas with a repulsive delta function interaction, using a mean field approximation. By a direct counting of states we establish that this model obeys exclusion statistics and is…

Statistical Mechanics · Physics 2009-10-31 T. H. Hansson , J. M. Leinaas , S. Viefers

A study of an interacting system of bosons in a ring trap at a finite temperature is presented. We consider a gas with contact and long-range dipolar interactions within a framework of the classical fields approximation. For a repulsive gas…

Quantum Gases · Physics 2020-03-04 Maciej Kruk , Maciej Łebek , Kazimierz Rzążewski

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

In this paper the thermodynamical parameters of a condensed Boson gas are calculated from the partial derivative of the grand potential. In particular, the analytical expressions for some important parameters, such as the condensed…

Statistical Mechanics · Physics 2009-09-28 Ahmed S. Hassan , Shemi S. M. Soliman , Emad H. Soliman

We investigate the role of the interparticle-interaction strength in the distribution of two species of atoms inside a condensate. We focus upon the study of systems for which the minima of the trapping potentials for the species are…

Soft Condensed Matter · Physics 2009-11-07 D. M. Jezek , P. Capuzzi

We use a semiclassical approximation to investigate density variations and dipole oscillations of an interacting three-component normal Fermi gas in a harmonic trap. We consider both attractive and repulsive interactions between different…

Quantum Gases · Physics 2015-05-13 Theja N. De Silva

We study the properties of an impurity immersed in a weakly interacting Bose gas, i.e., of a Bose polaron. In the perturbatively-tractable of limit weak impurity-boson interactions many of its properties are known to depend only on the…

Quantum Gases · Physics 2021-03-31 Pietro Massignan , Nikolay Yegovtsev , Victor Gurarie

We study the unitary dynamics of a one-dimensional gas of hard-core bosons trapped into a harmonic potential which varies periodically in time with frequency $\omega(t)$. Such periodic systems can be classified into orbits of different…

Statistical Mechanics · Physics 2018-04-10 Stefano Scopa , Jéremie Unterberger , Dragi Karevski

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 investigate a system of bosons in a two-dimensional harmonic trap. In the limit of strong attractive interactions, the bosons make a droplet insensitive to external confinement. For weak interactions, in contrast, the ground state is…

Quantum Gases · Physics 2025-07-01 Fabian Brauneis , Artem G. Volosniev , Hans-Werner Hammer

We formulate a general scheme for calculation of thermodynamic properties of ideal Bose gas with microscopic number of static impurities immersed, when the system is loaded in the harmonic trapping potential with quasi-1D and quasi-2D…

Quantum Gases · Physics 2023-03-03 O. Hryhorchak , V. Pastukhov

Recent experimental and theoretical work has indicated conditions in which a trapped, low-density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up to now the theoretical arguments have been based…

Statistical Mechanics · Physics 2016-08-31 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason