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Title: A Kinetic Approach to Bose-Einstein Condensates: Self-Phase Modulation and Bogoliubov Oscillations

Abstract

A kinetic approach to Bose-Einstein condensates (BECs) is proposed based on the Wigner-Moyal equation (WME). In the semiclassical limit, the WME reduces to the particle-number conservation equation. Two examples of applications are (i) a self-phase modulation of a BE condensate beam, where we show that part of the beam is decelerated and eventually stops as a result of the gradient of the effective self-potential, and (ii) the derivation of a kinetic dispersion relation for sound waves in BECs, including collisionless Landau damping.

Authors:
 [1];  [2];  [1];  [3];  [4];  [5]
  1. Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 OQX (United Kingdom)
  2. (Portugal)
  3. (United Kingdom)
  4. Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
  5. (Sweden)
Publication Date:
OSTI Identifier:
20702648
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 101; Journal Issue: 5; Other Information: Translated from Zhurnal Ehksperimental'noj i Teoreticheskoj Fiziki, ISSN 0044-4510, 128, 1078-1084 (No. 5, 2005); DOI: 10.1134/1.2149073; (c) 2005 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); TN:
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; CONSERVATION LAWS; DISPERSION RELATIONS; EQUATIONS; LANDAU DAMPING; MODULATION; OSCILLATIONS; POTENTIALS; SEMICLASSICAL APPROXIMATION; SOUND WAVES

Citation Formats

Mendonca, J.T., Instituto Superior Tecnico, 1049-001 Lisbon, Bingham, R., Department of Physics, University of Strathclyde, Glasgow G4 0NG, Shukla, P.K., and Department of Physics, Umeaa University, SE-90187 Umeaa. A Kinetic Approach to Bose-Einstein Condensates: Self-Phase Modulation and Bogoliubov Oscillations. United States: N. p., 2005. Web. doi:10.1134/1.2149073.
Mendonca, J.T., Instituto Superior Tecnico, 1049-001 Lisbon, Bingham, R., Department of Physics, University of Strathclyde, Glasgow G4 0NG, Shukla, P.K., & Department of Physics, Umeaa University, SE-90187 Umeaa. A Kinetic Approach to Bose-Einstein Condensates: Self-Phase Modulation and Bogoliubov Oscillations. United States. doi:10.1134/1.2149073.
Mendonca, J.T., Instituto Superior Tecnico, 1049-001 Lisbon, Bingham, R., Department of Physics, University of Strathclyde, Glasgow G4 0NG, Shukla, P.K., and Department of Physics, Umeaa University, SE-90187 Umeaa. Tue . "A Kinetic Approach to Bose-Einstein Condensates: Self-Phase Modulation and Bogoliubov Oscillations". United States. doi:10.1134/1.2149073.
@article{osti_20702648,
title = {A Kinetic Approach to Bose-Einstein Condensates: Self-Phase Modulation and Bogoliubov Oscillations},
author = {Mendonca, J.T. and Instituto Superior Tecnico, 1049-001 Lisbon and Bingham, R. and Department of Physics, University of Strathclyde, Glasgow G4 0NG and Shukla, P.K. and Department of Physics, Umeaa University, SE-90187 Umeaa},
abstractNote = {A kinetic approach to Bose-Einstein condensates (BECs) is proposed based on the Wigner-Moyal equation (WME). In the semiclassical limit, the WME reduces to the particle-number conservation equation. Two examples of applications are (i) a self-phase modulation of a BE condensate beam, where we show that part of the beam is decelerated and eventually stops as a result of the gradient of the effective self-potential, and (ii) the derivation of a kinetic dispersion relation for sound waves in BECs, including collisionless Landau damping.},
doi = {10.1134/1.2149073},
journal = {Journal of Experimental and Theoretical Physics},
number = 5,
volume = 101,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}