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We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

介观与纳米尺度物理 · 物理学 2009-11-10 M. A. Cazalilla

We present results for the long-distance asymptotics of correlation functions of mesoscopic one-dimensional systems with periodic and open (Dirichlet) boundary conditions, as well as at finite temperature in the thermodynamic limit. The…

介观与纳米尺度物理 · 物理学 2007-05-23 M. A. Cazalilla

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject. The…

统计力学 · 物理学 2007-05-23 A. Yu. Cherny , A. A. Shanenko

The ground state and structure of a one-dimensional Bose gas with dipolar repulsions is investigated at zero temperature by a combined Reptation Quantum Monte Carlo (RQMC) and bosonization approach. A non trivial Luttinger-liquid behavior…

其他凝聚态物理 · 物理学 2007-05-23 R. Citro , E. Orignac , S. De Palo , M. -L. Chiofalo

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and…

统计力学 · 物理学 2007-05-23 A. Yu. Cherny , A. A. Shanenko

Using a Luttinger-liquid approach we study the quantum fluctuations of a Bose-Josephson junction, consisting of a Bose gas confined to a quasi one-dimensional ring trap which contains a localized repulsive potential barrier. For an infinite…

介观与纳米尺度物理 · 物理学 2010-12-21 N. Didier , A. Minguzzi , F. W. J. Hekking

We present a geometric framework for 1D quantum fluids across interaction regimes in the Thomas-Fermi limit. Based on the Linearization Principle via the $q$-logarithm, macroscopic density profiles form a discrete hierarchy: the ideal Bose…

量子气体 · 物理学 2026-03-11 Hiroki Suyari

We present a thorough study of the thermodynamics of a one-dimensional repulsive Bose gas, focusing in particular on corrections beyond the Luttinger-liquid description. We compute the chemical potential, the pressure and the contact, as a…

量子气体 · 物理学 2019-11-12 Giulia De Rosi , Pietro Massignan , Maciej Lewenstein , Grigori E. Astrakharchik

We review the recent theoretical and experimental progress regarding the Generalized Hydrodynamics (GHD) behavior of the one-dimensional Bose gas with contact repulsive interactions, also known as the Lieb-Liniger gas. In the first section,…

量子气体 · 物理学 2022-01-14 Isabelle Bouchoule , Jérôme Dubail

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

量子气体 · 物理学 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan

A study by W. R. Magro and D. M. Ceperley [Phys. Rev. Lett. {\bf 73}, 826 (1994)] has shown that the ground state of the two-dimensional fluid of charged bosons with logarithmic interactions is not Bose-condensed, but exhibits algebraic…

统计力学 · 物理学 2009-11-07 A. Minguzzi , B. Davoudi , M. P. Tosi

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

量子气体 · 物理学 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit…

其他凝聚态物理 · 物理学 2009-11-11 Bernd Schmidt , Michael Fleischhauer

The one-dimensional Kondo lattice model is investigated by means of Wegner's flow equation method. The renormalization procedure leads to an effective Hamiltonian which describes a free one-dimensional electron gas and a Heisenberg chain.…

强关联电子 · 物理学 2007-05-23 T. Sommer

We calculate the excitation modes of a 1D dipolar quantum gas confined in a harmonic trap with frequency $\omega_0$ and predict how the frequency of the breathing n=2 mode characterizes the interaction strength evolving from the…

其他凝聚态物理 · 物理学 2008-05-27 P. Pedri , S. De Palo , E. Orignac , R. Citro , M. L. Chiofalo

We renormalize the two-body contact interaction based on the exact solution of two interacting particles in a harmonic trap. This renormalization extends the validity of the contact interaction to large scattering lengths. We apply this…

原子物理 · 物理学 2017-05-10 Yijue Ding , Chris H. Greene

We provide a new hydrodynamic framework to describe out-of-equilibrium integrable systems with space-time inhomogeneous interactions. Our result builds up on the recently-introduced Generalized Hydrodynamics (GHD). The method allows to…

统计力学 · 物理学 2019-09-30 Alvise Bastianello , Vincenzo Alba , Jean Sébastien Caux

We consider a trapped repulsive one-dimensional (1D) Bose gas at very low temperature. In order to study the collective modes of this strongly interacting system, we use a hydrodynamic approach, where the gas is locally described by the…

凝聚态物理 · 物理学 2007-05-23 J. N. Fuchs , X. Leyronas , R. Combescot

We consider a generalized Lieb-Liniger model, describing a one-dimensional Bose gas with all its conservation laws appearing in the density matrix. This will be the case for the generalized Gibbs ensemble, or when the conserved charges are…

统计力学 · 物理学 2013-05-23 Erik Eriksson , Vladimir Korepin

We investigate an ultracold and dilute Bose gas by taking into account a finite-range two-body interaction. The coupling constants of the resulting Lagrangian density are related to measurable scattering parameters by following the…

量子气体 · 物理学 2018-12-27 A. Tononi , A. Cappellaro , L. Salasnich
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