629 citations · 850 across the 17 of their papers we have counts for
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A random matrix formulation of fidelity decay
T. Gorin, T. Prosen, T. H. Seligman
We propose to study echo dynamics in a random matrix framework, where we assume that the perturbation is time independent, random and orthogonally invariant. This allows to use a b…
Wigner--Dyson statistics for a class of integrable models
L. Benet, F. Leyvraz, T. H. Seligman
We construct an ensemble of second--quantized Hamiltonians with two bosonic degrees of freedom, whose members display with probability one GOE or GUE statistics. Nevertheless, thes…
Theory of quantum Loschmidt echoes
Tomaz Prosen, Thomas H. Seligman, Marko Znidaric
In this paper we review our recent work on the theoretical approach to quantum Loschmidt echoes, i.e. various properties of the so called echo dynamics -- the composition of forwar…
Estimating purity in terms of correlation functions
Tomaz Prosen, Thomas H. Seligman, Marko Znidaric
We prove a rigorous inequality estimating the purity of a reduced density matrix of a composite quantum system in terms of cross-correlation of the same state and an arbitrary prod…