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Title: Thermalization and condensation in an incoherently pumped passive optical cavity

Abstract

We study theoretically and numerically the condensation and the thermalization of classical optical waves in an incoherently pumped passive Kerr cavity. We show that the dynamics of the cavity exhibits a turbulent behavior that can be described by the wave turbulence theory. A mean-field kinetic equation is derived, which reveals that, in its high finesse regime, the cavity behaves essentially as a conservative Hamiltonian system. In particular, the intracavity turbulent field is shown to relax adiabatically toward a thermodynamic equilibrium state of energy equipartition. As a consequence of this effect of wave thermalization, the incoherent optical field undergoes a process of condensation, characterized by the spontaneous emergence of a plane wave from the incoherently pumped cavity. The condensation process is an equilibrium phase transition that occurs below a critical value of the (kinetic) energy of the incoherent pump. In spite of the dissipative nature of the cavity dynamics, the condensate fraction of the high-finesse cavity field is found in quantitative agreement with the theory inherited from the purely conservative (Hamiltonian) nonlinear Schroedinger equation.

Authors:
;  [1];  [2]; ;  [3];  [4]
  1. Laboratoire Interdisciplinaire Carnot de Bourgogne, CNRS, Universite de Bourgogne, F-21078 Dijon (France)
  2. Service OPERA, Universite Libre de Bruxelles, B-1050 Brussels (Belgium)
  3. Laboratoire de Physique des Lasers, Atomes et Molecules, CNRS, Universite de Lille, F-59655 Villeneuve d'Ascq (France)
  4. Institut Non Lineaire de Nice, CNRS, Universite de Nice Sophia-Antipolis, F-06560 Valbonne (France)
Publication Date:
OSTI Identifier:
22072212
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; CAVITY RESONATORS; EQUILIBRIUM; HAMILTONIANS; KERR EFFECT; KINETIC ENERGY; KINETIC EQUATIONS; LASERS; MEAN-FIELD THEORY; NONLINEAR PROBLEMS; PHASE TRANSFORMATIONS; SCHROEDINGER EQUATION; THERMALIZATION; WAVE PROPAGATION

Citation Formats

Michel, C., Picozzi, A., Haelterman, M., Suret, P., Randoux, S., and Kaiser, R. Thermalization and condensation in an incoherently pumped passive optical cavity. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033848.
Michel, C., Picozzi, A., Haelterman, M., Suret, P., Randoux, S., & Kaiser, R. Thermalization and condensation in an incoherently pumped passive optical cavity. United States. doi:10.1103/PHYSREVA.84.033848.
Michel, C., Picozzi, A., Haelterman, M., Suret, P., Randoux, S., and Kaiser, R. Thu . "Thermalization and condensation in an incoherently pumped passive optical cavity". United States. doi:10.1103/PHYSREVA.84.033848.
@article{osti_22072212,
title = {Thermalization and condensation in an incoherently pumped passive optical cavity},
author = {Michel, C. and Picozzi, A. and Haelterman, M. and Suret, P. and Randoux, S. and Kaiser, R.},
abstractNote = {We study theoretically and numerically the condensation and the thermalization of classical optical waves in an incoherently pumped passive Kerr cavity. We show that the dynamics of the cavity exhibits a turbulent behavior that can be described by the wave turbulence theory. A mean-field kinetic equation is derived, which reveals that, in its high finesse regime, the cavity behaves essentially as a conservative Hamiltonian system. In particular, the intracavity turbulent field is shown to relax adiabatically toward a thermodynamic equilibrium state of energy equipartition. As a consequence of this effect of wave thermalization, the incoherent optical field undergoes a process of condensation, characterized by the spontaneous emergence of a plane wave from the incoherently pumped cavity. The condensation process is an equilibrium phase transition that occurs below a critical value of the (kinetic) energy of the incoherent pump. In spite of the dissipative nature of the cavity dynamics, the condensate fraction of the high-finesse cavity field is found in quantitative agreement with the theory inherited from the purely conservative (Hamiltonian) nonlinear Schroedinger equation.},
doi = {10.1103/PHYSREVA.84.033848},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}