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We study the properties of Bose-Einstein condensate (BEC)-impurity mixtures at finite temperature employing the Balian-V\'en\'eroni (BV) variational principle. The method leads to a set of coupled nonlinear equations of motion for the…

Quantum Gases · Physics 2015-06-18 Abdelâali Boudjemâa

We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Tiberiu Harko , Eniko J. Madarassy

The formalism of Dashen, Ma and Bernstein (DMB) expresses the thermal partition function of a system in terms of the S-matrix operator, roughly $Z(\beta) \propto \int dE\, e^{-\beta E}\,\text{Tr}\,\ln S(E),$ where $S$ denotes the full…

High Energy Physics - Theory · Physics 2025-12-19 Pietro Baratella , Joan Elias Miro

We present a detailed derivation of the quantum and quantum-thermal effective action for non-relativistic systems, starting from the single particle case and extending to the Gross-Pitaevskii (GP) field theory for weakly interacting bosons.…

Quantum Gases · Physics 2025-12-02 Luca Salasnich

We study the phonon fluxes emitted when the condensate velocity crosses the speed of sound, i.e., in backgrounds which are analogous to that of a black hole. We focus on elongated one dimensional condensates and on stationary flows. Our…

Quantum Gases · Physics 2010-12-15 Jean Macher , Renaud Parentani

We investigate the Bose-Einstein condensation (BEC, superfluidity) of particle-hole pairs in ultracold Fermionic atoms with repulsive interactionsand arbitrary polarization, which are trapped within optical lattices. Near a Feshbach…

Atomic Physics · Physics 2007-05-23 Chaohong Lee

Open quantum systems theory is central to describing the dynamics and equilibration of dilute-gas Bose-Einstein condensates (BECs). We present an analysis of the linearized stochastic projected Gross-Pitaevskii equation (SPGPE) describing…

Quantum Gases · Physics 2025-09-11 Nils A. Krause , Ashton S. Bradley

The theoretical description of trapped weakly-interacting Bose-Einstein condensates is characterized by a large number of seemingly very different approaches which have been developed over the course of time by researchers with very…

Other Condensed Matter · Physics 2009-11-13 Nick P. Proukakis , Brian Jackson

The Fourier transform of the density-density correlation function in a Bose-Einstein condensate (BEC) analog black hole is a useful tool to investigate correlations between the Hawking particles and their partners. It can be expressed in…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Richard A. Dudley , Alessandro Fabbri , Paul R. Anderson , Roberto Balbinot

It was shown recently that extended black hole thermodynamics, where the cosmological constant is a dynamical variable, giving rise to a pressure $p$ and its conjugate volume $V$, can be given a natural setting in the context of braneworld…

High Energy Physics - Theory · Physics 2024-11-04 Clifford V. Johnson , Roberto Nazario

Theories on the bosonic nature of dark matter are a promising alternative to the cold dark matter model. Here we consider a dark matter halo in the state of a Bose-Einstein condensate, subject to the gravitation of a black hole. In the low…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Ludovica Dieli , Claudio Conti

The dark and bright solitons in different systems are already known in Klein-Gordon lattice. Instead of an external driving force, if the intrinsic field is only considered, then the modal dynamics for small oscillations could be…

Quantum Gases · Physics 2017-01-02 Asis. K. Bandyopadhyay , Atrayee Bhattacharya , Kamal Choudhary , Santanu Das

Using the Boltzmann transport equation (BTE), we study the evolution of nonequilibrium carrier distributions in simple ($sp$) metals, assumed to have been instantaneously excited by an ultrafast laser pulse with photon energy $h \nu$. The…

Materials Science · Physics 2024-06-17 D. M. Riffe , Richard B. Wilson

The quartic confining potential has emerged as a key ingredient to obtain fast rotating vortices in BEC as well as observation of quantum phase transitions in optical lattices. We calculate the critical temperature $T_c$ of bosons at which…

Atomic Physics · Physics 2009-12-29 S. Gautam , D. Angom

The Boltzmann transport equation (BTE) has proven indispensable in elucidating quasiballistic heat dynamics. Experimental observations of nondiffusive thermal transients, however, are interpreted almost exclusively through purely diffusive…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Bjorn Vermeersch

It is shown that thermal fluctuations of the normal component induce dephasing -- reversible damping of the low energy collective modes of a confined Bose-Einstein condensate. The dephasing rate is calculated for the isotropic oscillator…

Soft Condensed Matter · Physics 2016-08-31 A. B. Kuklov , N. Chencinski

The tunneling formalism in the Hamilton-Jacobi approach is adopted to study Hawking radiation of massless Dirac particles from spherically symmetric black hole spacetimes incorporating the effects of the generalized uncertainty principle.…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Sunandan Gangopadhyay

In the present work we study the main physical properties of a gas of $\kappa$-deformed bosons described through the statistical distribution function $f_\kappa=Z^{-1}[\exp_\kappa (\beta({1/2}m v^2-\mu))-1]^{-1}$. The deformed…

Statistical Mechanics · Physics 2009-11-07 A. Aliano , G. Kaniadakis , E. Miraldi

We investigate quantum entanglement of gravitational configurations in 3D AdS gravity using the AdS/CFT correspondence. We derive explicit formulas for the holographic entanglement entropy (EE) of the BTZ black hole, conical singularities…

High Energy Physics - Theory · Physics 2014-11-20 M. Cadoni , M. Melis

By calculating correlation functions for the Lieb-Liniger model based on the algebraic Bethe ansatz method, we conduct a finite-size scaling analysis of the eigenstate thermalization hypothesis (ETH) which is considered to be a possible…

Statistical Mechanics · Physics 2015-04-06 Tatsuhiko N. Ikeda , Yu Watanabe , Masahito Ueda
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