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An efficient algorithm for cooling particles in a controlled light standing wave

A new approach to feedback cooling of many-particle ensembles is considered. The homodyne detection of counter-propagating probe beams is shown to provide enough information to realize an efficient ‘bang-bang’ cooling algorithm. The feasibility of the method is demonstrated via numerical Monte Carlo simulations of classical trajectories of the particles taking into account the spontaneous emission noise. The numerical analysis and approximate theoretical treatment predict the cooling rate as being inverse proportional to the square root of the number of particles in the ensemble.