Statistical Behavior in Deterministic Quantum Systems with Few Degrees of Freedom
Roderick V. JensenMason Laboratory, Yale University, New Haven, Connecticut 06520R. ShankarMason Laboratory, Yale University, New Haven, Connecticut 06520
1985en
ABI
Abstract
Numerical studies of the dynamics of finite quantum spin chains are presented which show that quantum systems with few degrees of freedom ($N=7$) can be described by equilibrium statistical mechanics. The success of the statistical description is seen to depend on the interplay between the initial state, the observable, and the Hamiltonian. This work clarifies the impact of integrability and conservation laws on statistical behavior. The relation to quantum chaos is also discussed.
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