Semi-Classical Dynamics in Quantum Spin Systems

Details Semi-Classical Dynamics in Quantum Spin Systems Semi-Classical Dynamics in Quantum Spin Systems

2007-09-28

arxiv.org/abs/0709.4561v1

Physics

Mathematical Physics

16 pages

Scientific paper

10.1007/s11005-007-0202-y

We consider two limiting regimes, the large-spin and the mean-field limit, for the dynamical evolution of quantum spin systems. We prove that, in these limits, the time evolution of a class of quantum spin systems is determined by a corresponding Hamiltonian dynamics of classical spins. This result can be viewed as a Egorov-type theorem. We extend our results to the thermodynamic limit of lattice spin systems and continuum domains of infinite size, and we study the time evolution of coherent spin states in these limiting regimes.

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