Quantum homogenization and state randomization in semi-quantal spin systems

Details Quantum homogenization and state randomization in semi-quantal spin systems Quantum homogenization and state randomization in semi-quantal spin systems

2007-12-13

arxiv.org/abs/0712.2136v1

Physics

Quantum Physics

10 pages, 10 figures (included)

Scientific paper

10.1103/PhysRevA.77.052106

We investigate dynamics of semi-quantal spin systems in which quantum bits are attached to classically and possibly stochastically moving classical particles. The interaction between the quantum bits takes place when the respective classical particles get close to each other in space. We find that with Heisenberg XX couplings quantum homogenization takes place after a time long enough, regardless of the details of the underlying classical dynamics. This is accompanied by the development of a stationary bipartite entanglement. If the information on the details of the motion of a stochastic classical system is disregarded, the stationary state of the whole quantum subsystem is found to be a complete mixture in the studied cases, though the transients depend on the properties of the classical motion.

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