Dynamics of trapped particle cooling in the LambDicke limit
Abstract
Current understanding of the dynamics of a lasercooled trapped particle in the LambDicke regime, where the quantum structure of the energy levels cannot be ignored, is reviewed. The master equation that governs the time evolution after an initial transient time of the order of the lifetime of the upper level of the cooled system is introduced. This equation describes both the dynamics and the finally emerging steady state. This final state is discussed, and the generating function which is used to obtain both the eigenvalue spectrum and the exact timedependent solution of the problem is introduced. This is evaluated explicitly for some particular initial distributions. The model's limitations and some unsolved problems are discussed.
 Publication:

Journal of the Optical Society of America B Optical Physics
 Pub Date:
 November 1985
 DOI:
 10.1364/JOSAB.2.001743
 Bibcode:
 1985JOSAB...2.1743S
 Keywords:

 Cooling;
 Physical Optics;
 Quantum Mechanics;
 Trapped Particles;
 Eigenvalues;
 Energy Levels;
 Harmonic Oscillators;
 Lasers;
 Poisson Density Functions;
 Temperature Distribution;
 Atomic and Molecular Physics;
 MECHANICAL EFFECTS OF LIGHT;
 LASERS: APPLICATIONS;
 QUANTUM OPTICS;
 SPECTROSCOPY: HIGH RESOLUTION