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In this work the Klein-Gordon (KG) equation for a complex scalar field with U(1) symmetry endowed in a mexican-hat scalar field potential with thermal and electromagnetic contributions is written as a Gross-Pitaevskii (GP)-like equation.…

量子气体 · 物理学 2017-08-10 Tonatiuh Matos , Elías Castellanos , Abril Suárez

We apply the Projected Gross-Pitaevskii equation (PGPE) formalism to the experimental problem of the shift in critical temperature $T_c$ of a harmonically confined Bose gas as reported in Gerbier \emph{et al.} [Phys. Rev. Lett. \textbf{92},…

其他凝聚态物理 · 物理学 2007-06-20 Matthew J. Davis , P. Blair Blakie

Quantized vortex states of weakly interacting Bose-Einstein condensate of atoms with attractive interatomic interaction in an axially symmetric harmonic oscillator trap are investigated using the numerical solution of the time-dependent…

软凝聚态物质 · 物理学 2009-11-07 Sadhan K. Adhikari

Using controlled numerical N-body experiments, we show how, in the collapse dynamics of an initially cold and uniform distribution of particles with a generic asymmetric shape, finite $N$ fluctuations and perturbations induced by the…

宇宙学与河外天体物理 · 物理学 2021-08-11 Francesco Sylos Labini , Michael Joyce

We discuss the statistical mechanics of a system of self-gravitating particles with an exclusion constraint in position space in a space of dimension $d$. The exclusion constraint puts an upper bound on the density of the system and can…

统计力学 · 物理学 2015-06-17 Pierre-Henri Chavanis

We propose a versatile variational method to investigate the spatio-temporal dynamics of one-dimensional magnetically-trapped Bose-condensed gases. To this end we employ a \emph{q}-Gaussian trial wave-function that interpolates between the…

其他凝聚态物理 · 物理学 2010-12-10 Alexandru I. Nicolin , R. Carretero-Gonzalez

We investigate the thermodynamic properties of black holes in Conformal Weyl Gravity (CWG) using the Mannheim-Kazanas solution, with particular emphasis on quantum corrections that become significant near the Planck scale. Our analysis…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Erdem Sucu , Suat Dengiz , İzzet Sakallı

We consider a model of a dilute Bose-Einstein condensed gas at finite temperatures, where the condensate coexists in a trap with a cloud of thermal excitations. Within the ZGN formalism, the dynamics of the condensate is described by a…

统计力学 · 物理学 2009-11-07 B. Jackson , E. Zaremba

We generalize the Ensemble Geometric Phase (EGP), recently introduced to classify the topology of density matrices, to finite-temperature states of interacting systems in one spatial dimension (1D). This includes cases where the gapped…

强关联电子 · 物理学 2021-12-20 Razmik Unanyan , Maximilian Kiefer-Emmanouilidis , Michael Fleischhauer

We use a generalized Gross-Pitaevskii equation for the condensate and a semi-classical kinetic equation for the noncondensate atoms to discuss the scissors mode in a trapped Bose-condensed gas at finite temperatures. Both equations include…

统计力学 · 物理学 2009-11-07 T. Nikuni

Modified gravity theories are of great interest in both observational and theoretical studies. In this article we study the correlation between the null geodesics in the background of a four-dimensional Einstein-Maxwell-Gauss-Bonnet AdS…

广义相对论与量子宇宙学 · 物理学 2021-05-19 Kartheek Hegde , A. Naveena Kumara , C. L. Ahmed Rizwan , Md Sabir Ali , Ajith K. M

We construct a fully self-consistent non-equilibrium theory for the dynamics of two interacting finite-temperature atomic Bose-Einstein condensates. The condensates are described by dissipative Gross-Pitaevskii equations, coupled to quantum…

量子气体 · 物理学 2015-01-15 M. J. Edmonds , K. L. Lee , N. P. Proukakis

The stochastic Gross-Pitaevskii equation is used as a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg Landau equation with a trapping potential and an additive space-time white noise.…

偏微分方程分析 · 数学 2017-09-26 Anne de Bouard , Arnaud Debussche , Reika Fukuizumi

We show that a Tonks-Girardeau (TG) gas that is immersed in a Bose-Einstein condensate can undergo a transition to a crystal-like Mott state with regular spacing between the atoms without any externally imposed lattice potential. We…

量子气体 · 物理学 2022-02-02 Tim Keller , Thomás Fogarty , Thomas Busch

We analyse shear-free spherically symmetric relativistic models of gravitating fluids with heat flow and electric charge defined on higher dimensional manifolds. The solution to the Einstein-Maxwell system is governed by the pressure…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Y. Nyonyi , S. D. Maharaj , K. S. Govinder

We revisit Jacobson's thermodynamic derivation of gravitational dynamics in the presence of generalized, non-extensive horizon entropies. Working within a local Rindler-wedge framework, we formulate the Clausius relation as the stationarity…

广义相对论与量子宇宙学 · 物理学 2026-03-06 Marco Figliolia , Petr Jizba , Gaetano Lambiase

We consider a two-dimensional weakly interacting ultracold Bose gas whose constituents are two-level atoms. We study the effects of a synthetic density-dependent gauge field that arises from laser-matter coupling in the adiabatic limit with…

量子气体 · 物理学 2016-01-20 Salvatore Butera , Manuel Valiente , Patrik Öhberg

We examine the dynamics of a self--gravitating magnetized electron gas at finite temperature near the collapsing singularity of a Bianchi-I spacetime. Considering a general and appropriate and physically motivated initial conditions, we…

广义相对论与量子宇宙学 · 物理学 2015-06-15 I. Delgado Gaspar , A. Perez Martinez , Roberto A. Sussman , A. Ulacia Rey

In this work, we revisit a toy model proposed by Camanho {\it et.al.} [JHEP 10 (2015) 179] and extensively study the possible existence of gravitational phase transition from AdS to dS geometries by adding the Maxwell field as an impurity…

广义相对论与量子宇宙学 · 物理学 2020-09-09 Daris Samart , Phongpichit Channuie

We extend the Projected Gross Pitaevskii equation formalism of Davis et al. [Phys. Rev. Lett. \bf{87}, 160402 (2001)] to the experimentally relevant case of harmonic potentials. We outline a robust and accurate numerical scheme that can…

其他凝聚态物理 · 物理学 2015-06-24 P. Blair Blakie , Matthew J. Davis