The quantum kicked rotor (QKR) is best-known as and important paradigm of chaos in a one-body system. It has actual experimental realisations with cold atoms in standing waves of light, as well as potential realisations in the one-magnon dynamics of the Heisenberg spin chain [1]. Here, an investigation of the effects of inter-particle interactions on the QKR dynamics will be reported. For kicked BECs, a manifestation of atomic interactions is in the onset of exponential instabilities close to resonances of collective modes [2]. In the spin-chains there are modifications to the behavior arising from multi-magnon dynamics.

Refs:

[1] T Boness, S Bose, T.S. Monteiro,  Phys.Rev.Lett., 96 187201 (2006);T. Boness, M M A Stocklin, T S Monteiro, Prog. Theo.Phys,166 85 (2007)
[2]J.Reslen, C.E.Creffield, T.S.Monteiro quant-ph:0707.1653