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We investigate the finite temperature properties of the one-dimensional two-component Bose gas (2CBG) with repulsive contact interaction in a harmonic trap. Making use of a new lattice embedding for the 2CBG and the quantum transfer matrix…

Quantum Gases · Physics 2015-11-03 Ovidiu I. Patu , Andreas Klumper

The one dimensional $\delta$-function interacting Bose gas (the Lieb-Liniger model) is an integrable system, which can model experiments with ultra cold atoms in one dimensional traps. Even though the model is integrable, integrability…

Quantum Gases · Physics 2021-04-21 Arthur Hutsalyuk , Balázs Pozsgay

We investigate the ground-state properties of two-component Bose gases confined in one-dimensional harmonic traps in the scheme of density-functional theory. The density-functional calculations employ a Bethe-ansatz-based local-density…

Strongly Correlated Electrons · Physics 2009-10-15 Yajiang Hao , Shu Chen

Ultracold gases are a versatile platform to simulate condensed matter physics, as virtually any parameter is experimentally tunable. In particular, highly anisotropic traps allow the realization of low-dimensional systems, where the role of…

Quantum Gases · Physics 2017-12-18 Guillaume Lang

We present a theoretical study of the dynamic structure function of a resonantly interacting two-component Fermi gas at zero temperature. Our approach is based on dynamic many-body theory able to describe excitations in strongly correlated…

Quantum Gases · Physics 2015-06-15 G. E. Astrakharchik , J. Boronat , E. Krotscheck , T. Lichtenegger

Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger…

Quantum Gases · Physics 2025-09-24 Song Cheng , Yang-Yang Chen , Xi-Wen Guan , Wen-Li Yang , Rubem Mondaini , Hai-Qing Lin

The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor,…

Condensed Matter · Physics 2009-11-07 G. E. Astrakharchik , S. Giorgini

We study static properties and the dynamical structure factor of zero-temperature dilute bosons interacting via a soft-shoulder potential in one dimension. Our approach is fully microscopic and employs state-of-the-art quantum Monte Carlo…

Quantum Gases · Physics 2017-01-12 M. Teruzzi , D. E. Galli , G. Bertaina

One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent experimental realization of…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , M. D. Girardeau

We show that the dynamic structure factor of a one-dimensional Bose liquid has a power-law singularity defining the main mode of collective excitations. Using the Lieb-Liniger model, we evaluate the corresponding exponent as a function of…

Statistical Mechanics · Physics 2011-11-09 M. Khodas , M. Pustilnik , A. Kamenev , L. I. Glazman

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…

Quantum Gases · Physics 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density…

Other Condensed Matter · Physics 2016-10-19 M. Motta , E. Vitali , M. Rossi , D. E. Galli , G. Bertaina

The dynamic structure factor of a harmonically trapped Bose gas has been calculated well above the Bose-Einstein condensation temperature by treating the gas cloud as a canonical ensemble of noninteracting classical particles. The static…

Quantum Gases · Physics 2015-05-14 Jai Carol Cruz , C. N. Kumar , K. N. Pathak , J. Bosse

In order to identify possible experimental signatures of the superfluid to Mott-insulator quantum phase transition we calculate the charge structure factor $S(k,\omega)$ for the one-dimensional Bose-Hubbard model using the dynamical…

Strongly Correlated Electrons · Physics 2015-05-30 S. Ejima , H. Fehske , F. Gebhard

We apply the nested algebraic Bethe ansatz to a model of one-dimensional two-component Bose gas with delta-function repulsive interaction. Using a lattice approximation of the L-operator we find Bethe vectors of the model in the continuous…

Mathematical Physics · Physics 2015-02-25 N. A. Slavnov

We present a comprehensive review on the state-of-the-art of the approximate analytic approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger model of the one-dimensional (1D) Bose gas with contact…

Quantum Gases · Physics 2024-08-09 M. L. Kerr , G. De Rosi , K. V. Kheruntsyan

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. K. Bhaduri , S. M. Reimann , S. Viefers , A. Ghose Choudhury , M. K. Srivastava

A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev , N. M. Bogoliubov

We consider a one dimensional interacting bose-fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between bose-fermi and bose-bose particles. Such a system can be realized in experiments with…

Strongly Correlated Electrons · Physics 2008-05-07 Adilet Imambekov , Eugene Demler

We investigate the dynamic structure factor of atomic Bose and Fermi gases in one-dimensional optical lattices at zero temperature. The focus is on the generic behaviour of S(k,omega) as function of filling and interaction strength with the…

Statistical Mechanics · Physics 2009-11-10 R. Roth , K. Burnett