Cold atoms in optical lattices :a Hamiltonian ratchet
T. S. Monteiro, P. A. Dando, N. A. C. Hutchings, M. R. Isherwood
Abstract
We investigate a new type of quantum ratchet which may be realised by cold atoms in a double-well optical lattice which is pulsed with unequal periods. The classical dynamics is chaotic and we find the classical diffusion rate D is asymmetric in momentum up to a finite time tr. The quantum behaviour produces a corresponding asymmetry in the momentum distribution which is 'frozen-in' by Dynamical Localisation provided the break-time t* > tr. We conclude that the cold atom ratchets require Db/ 1 where b is a small deviation from period-one pulses.
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