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We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

We consider quantum fields around uniformly accelerated black holes. At a particular value of the acceleration, the Bogolubov transformation which would be responsible for the late-time Hawking radiation, is found to be trivial. When this…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Piljin Yi

A nontrivial peculiarity of general relativity is that when the horizon region of black holes is rendered harmless, the exterior doubles, resulting in a causally disconnected parallel universe. This intricacy plays a central role in 't…

High Energy Physics - Theory · Physics 2026-01-06 Abram Akal

Recently, trapped dipolar gases were observed to form high density droplets in a regime where mean field theory predicts collapse. These droplets present a novel form of equilibrium where quantum fluctuations are critical for stability. So…

Quantum Gases · Physics 2020-10-07 E. Aybar , M. O. Oktel

We explore the effects of finite temperature on the dynamics of Bose-Einstein condensates (BECs) after it is released from the confining potential. In addition, we examine the variation in the expansion dynamics of the BECs as the confining…

Quantum Gases · Physics 2017-06-26 Arko Roy , D. Angom

The one-body density matrix of weakly interacting, condensed bosons in external potentials is calculated using inhomogeneous Bogoliubov theory. We determine the condensate deformation caused by weak external potentials on the mean-field…

Quantum Gases · Physics 2012-07-31 C. A. Müller , C. Gaul

We exactly calculate the thermal distribution and temperature of Hawking radiation for a two-dimensional charged dilatonic black hole after it has settled down to an "equilibrium" state. The calculation is carried out using the Bogoliubov…

High Energy Physics - Theory · Physics 2008-11-26 T. Christodoulakis , G. A. Diamandis , B. C. Georgalas , E. C. Vagenas

The energy spectrum for the three dimensional Bose gas in Bose-Einstein Condensation phase is calculated with Modified Hartree-Fock-Bogoliubov theory, which is both conserving and gapless. From Improved $\Phi -$% derivable theory, the…

Quantum Gases · Physics 2013-09-04 Ya-Hui Zhang , Dingping Li

We study thermodynamic properties and the entanglement island of a black hole in asymptotically safe quantum gravity, analyzing key thermodynamic quantities such as the Hawking temperature, heat capacity, and entropy, as well as the…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Sobhan Kazempour , Sichun Sun , Chengye Yu

The dynamics of a dark soliton in an elongated Bose-Einstein condensate at finite temperatures is studied using numerical simulations. We find that in the presence of harmonic confinement the soliton may oscillate even at finite…

Statistical Mechanics · Physics 2009-11-11 B. Jackson , N. P. Proukakis , C. F. Barenghi

Vacuum models of charged or spinning black holes possess two horizons, the inner of which has the oft-overlooked property that gravitational tidal forces initially spaghettifying a freely falling observer will eventually change signs and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 Tyler McMaken

Considering generalised action for dilaton coupled Maxwell-Einstein theory in four dimensions, Gao and Zhang obtained black holes solutions for asymptotically anti de Sitter (Ads) and de Sitter (ds) spacetimes. We study the Hawking…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Tanwi Ghosh , Soumitra Sengupta

Entanglement is the quantum signature of Hawking's particle pair-creation from causal horizons, for gravitational and analog systems alike. Ambient thermal fluctuations, ubiquitous in realistic situations, strongly affects the entanglement…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Ivan Agullo , Anthony J. Brady , Dimitrios Kranas

We discuss Bose-Einstein condensation in harmonic traps where the confinement has undergone a splitting along one direction. We mostly consider the 3D potentials consisting of two cylindrical wells separated a distance 2a along the z-axis.…

Condensed Matter · Physics 2009-10-31 P. Capuzzi , E. S. Hernandez

Recently we showed that in semiclassical 2D dilaton gravity the regularity of a black hole horizon may be compatible with divergencies of Polyakov-Liouville stresses on it, the temperature deviating from its Hawking value. This makes the…

High Energy Physics - Theory · Physics 2009-11-07 O. B. Zaslavskii

Spatially varying near-horizon fluctuations of temperature of a Schwarzschild Black Hole is considered within the Euclidean Gravity approach. We present evidence that suggests that such fluctuations in temperature are closely related with…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Anamika Avinash Pathak , Swastik Bhattacharya

The correction of Hawking temperature of Schwarzschild-de Sitter (SdS) black hole is investigated using the generalized Klein-Gordon equation and the generalized Dirac equation by taking the quantum gravity effects into account. We derive…

General Relativity and Quantum Cosmology · Physics 2017-06-07 T. Ibungochouba Singh , I. Ablu Meitei , K. Yugindro Singh

We discuss the Hawking temperature of near-equilibrium black holes using a semiclassical analysis. We introduce a useful expansion method for slowly evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle point…

High Energy Physics - Theory · Physics 2012-01-31 Shunichiro Kinoshita , Norihiro Tanahashi

According to a generalization of black hole thermodynamics to a cosmological framework, it is possible to define a temperature for the cosmological horizon. The hypothesis of thermal equilibrium between the dark energy and the horizon has…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-02 Vincent Poitras

We characterize several equilibrium vortex effects in a rotating Bose-Einstein condensate. Specifically we attempt precision measurements of vortex lattice spacing and the vortex core size over a range of condensate densities and rotation…

Soft Condensed Matter · Physics 2009-11-10 I. Coddington , P. C. Haljan , P. Engels , V. Schweikhard , S. Tung , E. A. Cornell