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Mean field approximation treats only coherent aspects of the evolution of a Bose Einstein condensate. However, in many experiments some atoms scatter out of the condensate. We study an analytic model of two counter-propagating atomic…

Other Condensed Matter · Physics 2009-11-10 P. Zin , J. Chwedenczuk , A. Perez , K. Rzazewski , M. Trippenbach

Extracting momentum-resolved excitation spectra in strongly correlated quantum systems remains a major challenge, especially beyond one spatial dimension. We present an efficient tensor-network approach to compute dispersion relations via…

Quantum Physics · Physics 2026-04-27 Valeriia Bilokon , Elvira Bilokon , Illya Lukin , Andrii Sotnikov , Denys Bondar

Further development of the method of quantum hydrodynamics in application for Bose-Einstein condensates (BECs) is presented. To consider evolution of polarization direction along with particles movement we have developed corresponding set…

Quantum Gases · Physics 2014-11-04 P. A. Andreev , L. S. Kuzmenkov

A fully relativistic treatment of Bernstein waves in an electron-positron pair plasma has remained too formidable a task owing to the very complex nature of the problem. In this article, we perform contour integration of the dielectric…

Plasma Physics · Physics 2009-11-19 Ramandeep Gill , Jeremy S. Heyl

Bose-Einstein condensation (BEC) and evaporation of transverse photons from the Bose condensate is studied in the case when the density of plasma does not change. The generation of the longitudinal photons (photonikos) by the transverse…

Astrophysics · Physics 2010-06-04 Levan N. Tsintsadze

We investigate long-range effects of the dipolar interaction in Bose-Einstein condensates by solving the time-dependent 3D Gross-Pitaevskii equation. We study the propagation of excitations between non-overlapping condensates when a…

Quantum Gases · Physics 2016-03-21 A. Gallemí , M. Guilleumas , R. Mayol , M. Pi

We discuss the collective modes in a harmonically trapped, highly-elongated Bose condensed gas. The transverse breathing mode exhibits a number of interesting features, such as the insensitivity of the condensate mode frequency to the…

Statistical Mechanics · Physics 2007-05-23 B. Jackson , E. Zaremba

The mode structure of a Bose-Einstein condensate non-adiabatically loaded into a one-dimensional optical lattice is studied by analyzing the visibility of the interference pattern as well as the radial profile of the condensate after a…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , D. Ciampini , M. Cristiani , P. B. Blakie , C. J. Williams , P. S. Julienne , E. Arimondo

We investigate the low-lying excitations of a stack of weakly-coupled two-dimensional Bose-Einstein condensates that is formed by a one-dimensional optical lattice. In particular, we calculate the dispersion relations of the monopole and…

Soft Condensed Matter · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

We study the interaction between low-lying transverse collective oscillations and thermal excitations of an elongated Bose-Einstein condensate by means of perturbation theory. We consider a cylindrically trapped condensate and calculate the…

Condensed Matter · Physics 2009-11-07 M. Guilleumas , L. P. Pitaevskii

Although for photon Bose-Einstein condensates the main mechanism of the observed photon-photon interaction has already been identified to be of thermo-optic nature, its influence on the condensate dynamics is still unknown. Here a…

Quantum Gases · Physics 2020-11-30 Enrico Stein , Frank Vewinger , Axel Pelster

In low-density or high-temperature plasmas, Compton scattering is the dominant process responsible for energy transport. Kompaneets in 1957 derived a non-linear degenerate parabolic equation for the photon energy distribution. In this paper…

Analysis of PDEs · Mathematics 2016-09-09 Joshua Ballew , Gautam Iyer , Robert L. Pego

We study the distribution of energy level spacings in two models describing coupled single-mode Bose-Einstein condensates. Both models have a fixed number of degrees of freedom, which is small compared to the number of interaction…

Quantum Physics · Physics 2009-11-10 Silvio R. Dahmen , Jon Links , Ross H. McKenzie , Huan-Qiang Zhou

We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or spin hyperfine states coupled by a two-photon transition via an intermediate level. Due to the macroscopic…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

The focusing of a propagating untrapped Bose-Einstein condensate is studied theoretically. We use a scaling solution method comprising a time-dependent scaling function to analytically examine the dynamics of a falling Bose-Einstein…

Quantum Gases · Physics 2021-12-14 R. Richberg , A. M. Martin

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

We present a semi-analytical point-dipole method that uses Ewald lattice summation to find the dispersion relation of guided plasmonic and bianisotropic modes in metasurfaces composed of 2D periodic lattices of arbitrarily strongly…

Optics · Physics 2015-06-23 Per Lunnemann , A. Femius Koenderink

In the hydrodynamics of integrable models, diffusion is a subleading correction to ballistic propagation. Here we quantify the diffusive contribution for one-dimensional Bose gases and find it most influential in the crossover between the…

Quantum Gases · Physics 2025-02-11 Frederik Møller , Federica Cataldini , Jörg Schmiedmayer

We obtain a partial differential equation for a pulse travelling inside a Bose-Einstein condensate under conditions of electromagnetically induced transparency. The equation is valid for a weak probe pulse. We solve the equation for the…

Quantum Physics · Physics 2015-10-16 Pablo Barberis-Blostein , Omar Aguilar-Loreto

We consider black hole spacetimes that are holographically dual to strongly coupled field theories in which spatial translations are broken explicitly. We discuss how the quasinormal modes associated with diffusion of heat and charge can be…

High Energy Physics - Theory · Physics 2018-04-04 Aristomenis Donos , Jerome P. Gauntlett , Vaios Ziogas