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Related papers: Quantum Impurity in a One-dimensional Trapped Bose…

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Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properties of the repulsive Bose gas in a paraboloidal trap can be…

Statistical Mechanics · Physics 2007-05-23 N. M. Bogoliubov , R. K. Bullough , V. S. Kapitonov , C. Malyshev , J. Timonen

We present a comprehensive study of the static properties of a mobile impurity interacting with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider baths with either identical bosons or distinguishable…

Quantum Gases · Physics 2024-04-03 Abel Rojo-Francàs , Felipe Isaule , Bruno Juliá-Díaz

The non-equilibrium dynamics of spin impurity atoms in a strongly interacting one-dimensional (1D) Bose gas under the gravity field is studied. We show that due to the non-equilibrium preparation of the initial state as well as the…

Quantum Gases · Physics 2010-04-07 Zi Cai , Lei Wang , X. C. Xie , Yupeng Wang

We use variational methods to study a spin impurity in a 1D Bose lattice gas. Both in the strongly interacting superfluid regime and the Mott regime we find that the impurity binds with a hole, forming a polaron. Our calculations for the…

Quantum Gases · Physics 2013-11-05 Shovan Dutta , Erich J. Mueller

We analyze the effects caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein condensate trapped in a generic 3-dimensional power-law potential. We…

Mathematical Physics · Physics 2014-10-01 E. Castellanos , C. Laemmerzahl

We use laser light shaped by a digital micro-mirror device to realize arbitrary optical dipole potentials for one-dimensional (1D) degenerate Bose gases of 87Rb trapped on an atom chip. Superposing optical and magnetic potentials combines…

Disorder is everywhere in nature and it has a fundamental impact on the behavior of many quantum systems. The presence of a small amount of disorder, in fact, can dramatically change the coherence and transport properties of a system.…

Disordered Systems and Neural Networks · Physics 2022-06-23 Chiara D'Errico , Marco G. Tarallo

We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose dynamics is similar to that of a…

Quantum Gases · Physics 2019-05-22 Manuel Valiente , Volodymyr Pastukhov

We study a strongly interacting system of N identical bosons and one impurity in a one-dimensional trap. First, we assume that the particles have identical masses and analyze the corresponding set-up. After that, we study the influence of a…

Quantum Gases · Physics 2017-01-31 Artem G. Volosniev

Present experiments with Bose condensed gases can be largely described by a semi-ideal two-gas model. In this model, the condensate is influenced only by the mean-field repulsion among condensed atoms, while the thermal cloud is considered…

Condensed Matter · Physics 2009-10-31 M. Naraschewski , D. M. Stamper-Kurn

Recent theoretical and experimental progress on studying one-dimensional systems of bosonic, fermionic, and Bose-Fermi mixtures of a few ultracold atoms confined in traps is reviewed in the broad context of mesoscopic quantum physics. We…

Quantum Gases · Physics 2019-09-11 Tomasz Sowiński , Miguel Ángel García-March

A generalization of the semiclassical approximation is suggested allowing for an essential extension of its region of applicability. In particular, it becomes possible to describe Bose-Einstein condensation of a trapped gas in…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

After decades of improvements in cooling techniques of several atomic species and in finding methods for the achievement of stable quantum mixtures, the field is now ready for an extensive use of such a versatile experimental platform for…

Quantum Gases · Physics 2024-12-03 Cosetta Baroni , Giacomo Lamporesi , Matteo Zaccanti

The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently,…

Quantum Gases · Physics 2012-11-16 Alexander Yu. Cherny , Jean-Sebastien Caux , Joachim Brand

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

The two and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which…

Quantum Gases · Physics 2019-02-01 V. E. Colussi

In this Rapid Communication, we describe how the presence of the third dimension may break the scale invariance in a two-dimensional Bose gas in a pancake-shaped trap. From the two-dimensional perspective, the possibility of a weak spilling…

Thermodynamic properties of ideal Bose gas trapped in an external generic power law potential are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. The most general conditions for Bose-Einstein…

Quantum Gases · Physics 2016-04-18 Mir Mehedi Faruk

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit.…

Statistical Mechanics · Physics 2008-01-21 M. Benarous , H. Chachou Samet

We theoretically consider effectively one-dimensional quantum droplets in a symmetric Bose-Bose mixture confined in a parabolic trap. We systematically investigate ground and excited families of localized trapped modes which bifurcate from…

Quantum Gases · Physics 2023-04-12 Dmitry A. Zezyulin