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We study the effects of a repulsive three-body interaction on a system of trapped ultra-cold atoms in a Bose-Einstein condensed state. The corresponding $s-$wave non-linear Schr\"{o}dinger equation is solved numerically and also by a…

Soft Condensed Matter · Physics 2007-05-23 A. Gammal , T. Frederico , L. Tomio , Ph. Chomaz

The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are…

Quantum Gases · Physics 2023-08-10 M. I. Morales-Amador , V. Romero-Rochin , R. Paredes

We demonstrate that the Ba-induced Si(111)3x2 reconstruction is a physical realization of a one-dimensional antiferromagnetic Ising model with long-range Coulomb interactions. Monte Carlo simulations performed on a corresponding Coulomb-gas…

Materials Science · Physics 2009-11-11 Steven C. Erwin , C. Stephen Hellberg

The article formulates the basic principles of microscopic physics of a macroscopic ensemble of interacting helium-4 atoms. The concept of a vortex field is introduced, which is caused by the motion of the particles of the electron and…

Superconductivity · Physics 2021-08-31 S. Yv. Morozov

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We proposed the non-perturbative scheme for calculation of the impurity spectrum in the Bose system at zero temperature. The method is based on the path-integral formulation and describes an impurity as a zero-density ideal Fermi gas…

Quantum Gases · Physics 2018-03-14 Galyna Panochko , Volodymyr Pastukhov , Ivan Vakarchuk

We study the thermodynamics near the generic (density-driven) superfluid--Mott-insulator transition in the three-dimensional Bose-Hubbard model using the nonperturbative renormalization-group approach. At low energy the physics is…

Quantum Gases · Physics 2012-11-28 A. Rancon , N. Dupuis

We provide an exact solution for the interplay between Bose-Einstein condensation and the Dicke-Hepp-Lieb self-organization transition of an ideal Bose gas trapped inside a single-mode optical cavity and subject to a transverse laser drive.…

Quantum Gases · Physics 2013-10-10 Francesco Piazza , Philipp Strack , Wilhelm Zwerger

This paper investigated the Bose system in a spherical shell close to the black hole horizon. Several thermodynamic quantities of the Bose system are derived, which are different from those in the flat spacetime, by introducing the…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Jun-Xian Li , Jing-Yi Zhang

Decoherent quantum equations of motion are derived that yield the trajectory of an open quantum system. The viscosity of superfluid Lennard-Jones helium-4 is obtained with a quantum stochastic molecular dynamics algorithm. The momentum…

Statistical Mechanics · Physics 2023-06-14 Phil Attard

We propose a method to identify the order of a Quantum Phase Transition by using area measures of the ground state in phase space. We illustrate our proposal by analyzing the well known example of the Quantum Cusp, and four different…

Quantum Physics · Physics 2016-10-13 O. Castaños , M. Calixto , F. Pérez-Bernal , E. Romera

The critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of…

Quantum Gases · Physics 2017-05-31 V. I. Yukalov , E. P. Yukalova

We rigorously discuss the large-$N$ thermodynamics of a Bose gas with a short-range two-body potential. Considering the system as a mixture of $N$ identical components with symmetrical interaction we calculated numerically the temperature…

Quantum Gases · Physics 2018-12-26 Orest Hryhorchak , Volodymyr Pastukhov

An effective action is obtained of a Bose gas in the bulk separated into two regions by a strong external potential depending on the single coordinate. The main attention is focused on the relaxation of the difference between phases of the…

Statistical Mechanics · Physics 2009-11-07 V. S. Babichenko

The properties of phase transitions and the types of order present in the low-temperature states of matter are fundamentally dependent on the dimensionality of physical systems. Generally, highly ordered states are more robust in higher…

Quantum Gases · Physics 2012-02-15 Zoran Hadzibabic , Jean Dalibard

We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically,…

Quantum Gases · Physics 2023-10-23 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

We study an ultracold Bose gas in an optical dipole trap consisting of one single focused laser beam. An analytical expression for the corresponding density of states beyond the usual harmonic approximation is obtained. We are thus able to…

Quantum Gases · Physics 2013-05-29 Lena Simon , Walter T. Strunz

The effects of a heat current and gravity in liquid 4He near the superfluid transition are investigated for temperatures above and below T_lambda. We present a renormalization-group calculation based on model F for the Green's function in a…

Condensed Matter · Physics 2009-10-31 Rudolf Haussmann

A recent experiment [K. H. Kim, et al., Science 370, 978 (2020)] showed that it may be possible to detect a liquid-liquid phase transition (LLPT) in supercooled water by subjecting high density amorphous ice (HDA) to ultrafast heating,…

Statistical Mechanics · Physics 2021-06-24 Nicolas Giovambattista , Peter H. Poole

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Soumya Chakrabarti
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