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Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently,…

Statistical Mechanics · Physics 2013-05-29 S. M. Pittman , G. G. Batrouni , R. T. Scalettar

Spontaneously crystalline ground states, called quantum crystals, of a trapped Rydberg-dressed Bose-Einstein condensate are numerically investigated. As a result described by a mean-field order parameter, such states simultaneously possess…

Quantum Gases · Physics 2016-11-25 C. -H. Hsueh , T. -C. Lin , T. -L. Horng , W. C. Wu

The dynamics of a two-dimensional Bose-Einstein condensate mixture, loaded into a dual-core trap, when beyond-mean-field effects are taken into account, are considered. The effects of quantum fluctuations are described by the Lee-Huang-Yang…

Quantum Gases · Physics 2026-04-28 Sherzod R. Otajonov , Fatkhulla Kh. Abdullaev

The dynamics of evaporative cooling of magnetically trapped $^{87}$Rb atoms is studied on the basis of the quantum kinetic theory of a Bose gas. We carried out the quantitative calculations of the time evolution of conventional evaporative…

Statistical Mechanics · Physics 2009-11-10 Makoto Yamashita , Tetsuya Mukai

Squeezed states, a special kind of entangled states, are known as a useful resource for quantum metrology. In interferometric sensors they allow to overcome the "classical" projection noise limit stemming from the independent nature of the…

Quantum Gases · Physics 2013-02-14 Christian Gross

In this paper, I present a precise Quantum Monte Carlo calculation at finite temperature for a very large number (many thousands) of bosons in a harmonic trap, which may be anisotropic. The calculation applies directly to the recent…

Statistical Mechanics · Physics 2009-10-28 Werner Krauth

Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a harmonic trap. Results for the density…

Statistical Mechanics · Physics 2007-05-23 Stefan Heinrichs , William J. Mullin

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

The dynamics of a confined fluid of Bose atoms is treated within the linear response regime, with a view to establishing a current-density functional formalism for an inhomogeneous superfluid state. After evaluating in full detail a…

Statistical Mechanics · Physics 2009-10-31 M. L. Chiofalo , A. Minguzzi , M. P. Tosi

We study the properties of a dilute Bose condensed gas at zero temperature in the presence of a strong random potential with arbitrary correlation length. Starting from the underlying Gross-Pitaevskii equation, we use the random phase…

Disordered Systems and Neural Networks · Physics 2015-06-25 Patrick Navez , Axel Pelster , Robert Graham

The superfluid fraction of ideal and interacting inhomogeneous Bose gases with varying asymmetry is investigated at finite temperature using well-known properties of the harmonic oscillator as well as the essentially exact microscopic path…

Other Condensed Matter · Physics 2007-05-23 K. Nho , D. Blume

We study cavity quantum electrodynamics of Bose-condensed atoms that are subjected to continuous monitoring of the light leaking out of the cavity. Due to a given detection record of each stochastic realization, individual runs…

Quantum Physics · Physics 2015-11-02 Mark D. Lee , Janne Ruostekoski

The stability of an attractive Bose-Einstein condensate on a joint one-dimensional optical lattice and an axially-symmetric harmonic trap is studied using the numerical solution of the time-dependent mean-field Gross-Pitaevskii equation and…

Soft Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

The conventional theory of homogeneous and heterogeneous nucleation in a supersaturated vapor is tested by Monte Carlo simulations of the lattice gas (Ising) model with nearest-neighbor attractive interactions on the simple cubic lattice.…

Soft Condensed Matter · Physics 2013-05-07 Fabian Schmitz , Peter Virnau , Kurt Binder

Quantum droplets have been recently observed in dipolar Bose-Einstein condensates (BECs) and in BEC mixtures. This forms the motivation for us to explore the dynamics of these droplets. We make use of the Extended Gross-Pitaevski equation…

Quantum Gases · Physics 2025-08-14 Akshat Pandey , Ayan Khan

We theoretically investigate the droplets formation in a tightly trapped one-dimensional dipolar gas of bosonic atoms. When the strength of the dipolar interaction becomes sufficiently attractive compared to the contact one, we show how a…

Quantum Gases · Physics 2022-07-06 S. De Palo , E. Orignac , R. Citro

Bose-Einstein condensation has been experimentally found to take place in finite trapped systems when one of the confining frequencies is increased until the gas becomes effectively two-dimensional (2D). We confirm the plausibility of this…

Statistical Mechanics · Physics 2009-11-11 Juan Pablo Fernández , William J. Mullin

We investigate theoretically the Bose-Einstein condensation of trapped magnetoexcitons in a two-layered system with one layer containing electrons and the other layer containing holes. We have studied the spatial variations of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -R. Eric Yang , J. Yeo , S. Han

Continuous center-of-mass position measurements performed on an interacting harmonically trapped Bose-gas are considered. Using both semi-analytical mean-field approach and completely quantum numerical technique based on positive…

Quantum Physics · Physics 2013-05-29 T. Yu. Ivanova , M. S. Samoylova , D. A. Ivanov

Quantum entanglement can provide enhanced precision beyond standard quantum limit (SQL), the highest precision achievable with classical means. It remains challenging, however, to observe large enhancement limited by the experimental…

Quantum Gases · Physics 2022-12-20 Tian-Wei Mao , Qi Liu , Xin-Wei Li , Jia-Hao Cao , Feng Chen , Wen-Xin Xu , Meng Khoon Tey , Yi-Xiao Huang , Li You