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We present Quantum Monte Carlo calculations with up to N=576000 interacting bosons in a quasi two-dimensional trap geometry closely related to recent experiments with atomic gases. The density profile of the gas and the non-classical moment…

Statistical Mechanics · Physics 2008-05-20 Markus Holzmann , Werner Krauth

We investigate the accuracy of two mean-field theories of the trapped two-dimensional Bose gas at predicting transition region properties by comparison to non-perturbative classical field calculations. To make these comparisons we examine…

Quantum Gases · Physics 2009-11-01 R. N. Bisset , P. B. Blakie

The low-temperature properties of a 2D Bose fluid of charged particles interacting through a 1/r potential, moving in the presence of a uniform neutralizing background, is studied by Quantum Monte Carlo simulations. We make use of the…

Statistical Mechanics · Physics 2026-03-27 Massimo Boninsegni

The Bose condensation of 2D dipolar excitons in quantum wells is numerically studied by the diffusion Monte Carlo simulation method. The correlation, microscopic, thermodynamic, and spectral characteristics are calculated. It is shown that,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik , M. Willander

Using quantum Monte Carlo simulations, we investigate the finite-temperature phase diagram of hard-core bosons (XY model) in two- and three-dimensional lattices. To determine the phase boundaries, we perform a finite-size-scaling analysis…

Quantum Gases · Physics 2012-10-29 Juan Carrasquilla , Marcos Rigol

The collective behavior of a many-body system near a continuous phase transition is insensitive to the details of its microscopic physics[1]. Characteristic features near the phase transition are that the thermodynamic observables follow…

Quantum Gases · Physics 2011-02-11 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin

The Berezinski-Kosterlitz-Thouless transition is a unique two dimensional phase transition, separating two phases with exponentially and power-law decaying correlations, respectively. In disordered systems, these correlations propagate…

Superconductivity · Physics 2013-11-22 Amir Erez , Yigal Meir

We analyse the Bose-Einstein condensation process and the Berezinskii-Kosterlitz-Thouless phase transition within the Gross-Pitaevskii model and their interplay with wave turbulence theory. By using numerical experiments we study how the…

Fluid Dynamics · Physics 2014-07-28 Sergey Nazarenko , Miguel Onorato , Davide Proment

A system of coupled photonic cavities on a two-dimensional square lattice is systematically investigated using the stochastic series expansion quantum Monte Carlo method. The ground state phase diagram contains insulating phases with…

Other Condensed Matter · Physics 2008-08-18 Jize Zhao , Anders W. Sandvik , Kazuo Ueda

We study the universal critical behavior of two-dimensional (2D) lattice bosonic gases at the Berezinskii-Kosterlitz-Thouless (BKT) transition, which separates the low-temperature superfluid phase from the high-temperature normal phase. For…

Quantum Gases · Physics 2013-08-09 G. Ceccarelli , J. Nespolo , A. Pelissetto , E. Vicari

A model for spin-charge separated superconductivity in two dimensions is introduced where the phases of the spinon and holon order parameters couple gauge-invariantly to a statistical gauge-field representing chiral spin-fluctuations. The…

Condensed Matter · Physics 2009-10-22 J. P. Rodriguez

We discuss a model of dipolar bosons trapped in a weakly coupled planar array of one-dimensional tubes. We consider the situation where the dipolar moments are aligned by an external field, and find a rich phase diagram as a function of the…

Quantum Gases · Physics 2013-05-29 Jonathan M. Fellows , Sam T. Carr

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

Systems of disordered interacting bosons with particle-hole symmetry can undergo a quantum phase transition between the superfluid phase and the Mott glass phase which is a gapless incompressible insulator. We employ large-scale Monte Carlo…

Strongly Correlated Electrons · Physics 2019-04-02 Cameron Lerch , Thomas Vojta

The supersolid phase of soft-core bosons in two dimensions is investigated using the self-consistent Hartree-Fock and quantum Monte Carlo methods. An approximate phase diagram at finite temperatures is initially constructed using the…

Ultracold quantum gases are highly controllable and, thus, capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to…

Quantum Gases · Physics 2022-02-17 Andrea Tononi , Axel Pelster , Luca Salasnich

We discuss the superconductor to normal phase transition in an infinite-layered type-II superconductor in the limit where the Josephson coupling between layers is negligible. We model each layer as a neutral gas of thermally excited pancake…

Superconductivity · Physics 2009-06-17 K. S. Raman , V. Oganesyan , S. L. Sondhi

Recent experiments have shown that rising the temperature of a dipolar gas under certain conditions leads to a transition to a supersolid state. Here, we employ the path integral Monte Carlo method, which exactly accounts for both thermal…

Quantum Gases · Physics 2025-10-24 Raúl Bombín , Jordi Boronat , Ferran Mazzanti , Juan Sánchez-Baena

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 consider multiple non-interacting quantum mechanical two-level systems coupled to a common bosonic bath and study its quantum phase transition with Monte Carlo simulations using a continuous imaginary time cluster algorithm. The common…

Statistical Mechanics · Physics 2014-12-10 André Winter , Heiko Rieger
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