Diverging equilibration times in long-range quantum spin models
Date
2011
Authors
Kastner M.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The approach to equilibrium is studied for long-range quantum Ising models where the interaction strength decays like r-α at large distances r with an exponent α 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. © 2011 American Physical Society.
Description
Keywords
Approach to equilibrium, Equilibration time, Expectation values, Initial state, Initial values, Interaction strength, Large class, Large system size, Lattice dimensions, Quantum spin models, Time evolutions, Time-scales, Ising model
Citation
Physical Review Letters
106
13
http://www.scopus.com/inward/record.url?eid=2-s2.0-79960635317&partnerID=40&md5=9b128e24ade0cfd79180520064df1efa
106
13
http://www.scopus.com/inward/record.url?eid=2-s2.0-79960635317&partnerID=40&md5=9b128e24ade0cfd79180520064df1efa