Diverging equilibration times in long-range quantum spin models

Details Diverging equilibration times in long-range quantum spin models Diverging equilibration times in long-range quantum spin models

2011-03-04

arxiv.org/abs/1103.0836v2

Phys. Rev. Lett. 106, 130601, 4 pages (2011)

Physics

Quantum Physics

4+ pages, 1 figure

Scientific paper

10.1103/PhysRevLett.106.130601

The approach to equilibrium is studied for long-range quantum Ising models where the interaction strength decays like r^{-\alpha} at large distances r with an exponent $\alpha$ not exceeding the lattice dimension. For a large class of observables and initial states, the time evolution of expectation values can be calculated. We prove analytically that, at a given instant of time t and for sufficiently large system size N, the expectation value of some observable (t) will practically be unchanged from its initial value (0). This finding implies that, for large enough N, equilibration effectively occurs on a time scale beyond the experimentally accessible one and will not be observed in practice.

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