Abstract
For any classical statistical-mechanics model with a discrete state space, andendowed with a dynamics satisfying detailed balance, it is possible to generalizethe Rokhsar–Kivelson point for the quantum dimer model. That is, a quantumHamiltonian can be constructed (on the same state space) such that the ground statewavefunction coincides with the classical equilibrium distribution. Furthermore theexcited eigenstates correspond to classical relaxation modes, which (in cases witha symmetry or conserved quantity) permits extraction of the dispersion law oflong-wavelength excitations. The mapping is natural mainly when the states haveequal weight, as is typical of a highly frustrated model. Quantum and classicalcorrelation functions are related by analytic continuation to the imaginary time axis.
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