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We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disorder is produced in the simulations by a…

Quantum Gases · Physics 2015-02-26 S. Pilati , S. Giorgini , M. Modugno , N. Prokof'ev

In this article, we studied quantum droplet with the P\"oschl-Teller (PT) interaction potential between the Bose atoms. The Gross-Pitaevskii (GP) equation governs the system. The range and strength of the PT interaction can be adjusted.…

Atomic Physics · Physics 2025-05-15 Avra Banerjee , Dwipesh Majumder

The ground-state phase properties of a two-dimensional Bose system with dipole-dipole interactions is studied by means of quantum Monte Carlo techniques. Limitations of mean-field theory in a two-dimensional geometry are discussed. A…

Other Condensed Matter · Physics 2017-08-23 G. E. Astrakharchik , J. Boronat , J. Casulleras , I. L. Kurbakov , Yu. E. Lozovik

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

One-dimensional Bose gas with contact interaction in optical lattices at zero temperature is investigated by means of the exact diffusion Monte Carlo algorithm. The results obtained from the fundamental continuous model are compared with…

These lecture notes contain an introduction to quantum simulation of bosonic systems in the continuum, focusing on weakly interacting Bose-Bose mixtures with competing mean-field interactions. When the values of such interactions are…

Quantum Gases · Physics 2026-03-19 Sarah Hirthe , Leticia Tarruell

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 have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair correlation function, static structure factor, and momentum density of the ground state of the two-dimensional homogeneous electron gas. We…

Mesoscale and Nanoscale Physics · Physics 2010-03-02 N. D. Drummond , R. J. Needs

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

We consider a realistic bosonic N-particle model with unitary interactions relevant for Efimov physics. Using quantum Monte Carlo methods, we find that the critical temperature for Bose-Einstein condensation is decreased with respect to the…

Quantum Gases · Physics 2016-11-23 Tommaso Comparin , Werner Krauth

Static and dynamic properties of Bose-Einstein condensates in annular traps are investigated by solving the many-boson Schr\"odinger equation numerically accurately using the multiconfigurational time-dependent Hartree for bosons method. We…

Quantum Gases · Physics 2019-07-09 Ofir E. Alon

We unravel the existence and stability properties of one-dimensional droplets arising in genuine two-component particle imbalanced bosonic mixtures under the influence of a weak harmonic confinement. A plethora of miscible droplet phases is…

Quantum Gases · Physics 2025-02-04 Efstathios G. Charalampidis , Simeon I. Mistakidis

One-dimensional world is very unusual as there is an interplay between quantum statistics and geometry, and a strong short-range repulsion between atoms mimics Fermi exclusion principle, fermionizing the system. Instead, a system with a…

Quantum Gases · Physics 2016-11-16 N. Matveeva , G. E. Astrakharchik

The existence of quantum droplets in binary Bose-Einstein condensate mixtures rely on beyondmean field effects, competing with mean-field effects. Interestingly, the beyond-mean field effect is changing from repulsive in 3D to attractive in…

Quantum Gases · Physics 2020-11-26 L Lavoine , T Bourdel

We study the flow of a weakly-interacting Bose-Einstein condensate around an obstacle by numerical solution of the Gross-Pitaevskii equation. We observe vortex emission and the formation of bow waves leading to pressure drag. We compare the…

Statistical Mechanics · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

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

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects…

Quantum Gases · Physics 2013-05-29 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify…

Quantum Gases · Physics 2022-03-22 Aaron Wirthwein , Stephan Haas , Sheng-wey Chiow

We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Conditions for modulation instability and instability regions…

Pattern Formation and Solitons · Physics 2025-12-01 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev

We study the stability and characteristics of two-dimensional (2D) quasi-isotropic quantum droplets (QDs) of fundamental and vortex types, formed by binary Bose-Einstein condensate with magnetic quadrupole-quadrupole interactions (MQQIs).…

Quantum Gases · Physics 2024-07-09 Aowei Yang , Jiahao Zhou , Xiaoqing Liang , Guilong Li , Bin Liu , Huan-Bo Luo , Boris A Malomed , Yongyao Li