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Related papers: Harmonically trapped Bose-Bose mixtures: a quantum…

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The ground state of a homogeneous Bose gas of hard spheres is treated in self-consistent mean-field theory. It is shown that this approach provides an accurate description of the ground state of a Bose-Einstein condensed gas for arbitrarily…

Quantum Gases · Physics 2015-06-22 V. I. Yukalov , E. P. Yukalova

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

This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using…

Condensed Matter · Physics 2009-11-07 J. J. Hope

The weakly interacting trapped Bose gases have been customarily described using the mean-field approximation in the form of the Gross-Pitaevskii equation. The mean-field approximation, however, has certain limitations, in particular it can…

Atomic Physics · Physics 2009-11-11 H. H. Sorensen , D. V. Fedorov , A. S. Jensen

We investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical space-time rescaling to the dynamics in both the…

Analysis of PDEs · Mathematics 2025-03-07 Jacky Chong , Shunlin Shen , Zhifei Zhang

We calculate the ground states of a dipolar Bose gas confined in an infinite tube potential. We use the extended Gross-Pitaevskii equation theory and present a novel numerical method to efficiently obtain solutions. A key feature of this…

Quantum Gases · Physics 2023-03-07 Joseph C. Smith , D. Baillie , P. B. Blakie

We study the equilibrium correlations of a Bose gas in an elongated three-dimensional harmonic trap using a grand-canonical classical-field method. We focus in particular on the progressive transformation of the gas from the normal phase,…

Quantum Gases · Physics 2013-07-16 Michael C. Garrett , Tod M. Wright , Matthew J. Davis

In this work we define, analyze, and compare different numerical schemes that can be used to study the ground state properties of Bose-Fermi systems, such as mixtures of different atomic species under external forces or self-bound quantum…

Computational Engineering, Finance, and Science · Computer Science 2025-10-22 Tomasz Świsłocki , Krzysztof Gawryluk , Mirosław Brewczyk , Tomasz Karpiuk

We consider the equilibration rate for fermions in Bose-Fermi mixtures undergoing cross-dimensional rethermalization. Classical Monte Carlo simulations of the relaxation process are performed over a wide range of parameters, focusing on the…

Statistical Mechanics · Physics 2009-11-11 J. Goldwin , S. Inouye , M. L. Olsen , D. S. Jin

Quantum Monte Carlo simulations of a two-component Bose mixture of trapped dipolar atoms of identical masses and dipole moments, provide numerical evidence of de-mixing at low finite temperatures. De-mixing occurs as a consequence of…

Quantum Gases · Physics 2013-05-29 Piyush Jain , Massimo Boninsegni

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

Statistical Mechanics · Physics 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

We report quantum Monte Carlo results of harmonically confined quantum Bose dipoles within a range of interactions covering the evolution from a gas phase to the formation of an array of droplets. Scaling the experimental setup to a…

Quantum Gases · Physics 2024-02-07 R. Bombin , F. Mazzanti , J. Boronat

Motivated by recent surprising experimental findings, we develop a strong-coupling theory for Bose-Fermi mixtures capable of treating resonant inter-species interactions while satisfying the compressibility sum rule. We show that the…

Quantum Gases · Physics 2024-02-13 Xin Shen , Nir Davidson , Georg M. Bruun , Mingyuan Sun , Zhigang Wu

We theoretically investigate ground-state properties and collective excitations of one-dimensional quantum droplets in asymmetric Bose-Bose mixtures with unequal intraspin interactions. Using the extended Gross-Pitaevskii equation supported…

Quantum Gases · Physics 2026-01-26 Huiyun Xiao , Xinran Zhang , Junli Liu , Xucong Du , Xiao-Long Chen , Yunbo Zhang

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We calculate the pair correlation function of an interacting Bose gas in a harmonic trap directly via Path Integral Quantum Monte Carlo simulation for various temperatures and compare the numerical result with simple approximative…

Atomic Physics · Physics 2009-10-31 M. Holzmann , Y. Castin

In this work, we describe the dynamics of a Bose-Einstein condensate interacting with a degenerate Fermi gas, at zero temperature. First, we analyze the mean-field approximation of the many-body Schr\"odinger dynamics and prove emergence of…

Mathematical Physics · Physics 2025-07-04 Esteban Cárdenas , Joseph K. Miller , Nataša Pavlović

We obtain approximations for the time-independent Gross-Pitaevskii (GP) and complex GP equation in two and three spatial dimensions by generalizing the divergence-free WKB method. The results include an explicit expression of a uniformly…

Quantum Gases · Physics 2015-06-05 Hayder Salman

The mean-field dynamics of a Bose-Einstein condensate is studied in presence of a microscopic trapping potential from which the condensate can escape via tunneling through finite barriers. We show that the method of complex scaling can be…

Soft Condensed Matter · Physics 2013-05-29 Peter Schlagheck , Tobias Paul