Journal
PHYSICAL REVIEW LETTERS
Volume 94, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.94.244101
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Using supersymmetry calculations and random matrix simulations, we study the decay of the average of the fidelity amplitude f(epsilon)(tau)=, where H-epsilon differs from H-0 by a slight perturbation characterized by the parameter epsilon. For strong perturbations a recovery of f(epsilon)(tau) at the Heisenberg time tau=1 is found. It is most pronounced for the Gaussian symplectic ensemble, and least for the Gaussian orthogonal one. Using Dyson's Brownian-motion model for an eigenvalue crystal, the recovery is interpreted in terms of a spectral analogue of the Debye-Waller factor known from solid state physics, describing the decrease of x-ray and neutron diffraction peaks with temperature due to lattice vibrations.
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