Fidelity serves as a benchmark for the reliability in quantum information processes, and has
recently attracted much interest as a measure of the susceptibility of dynamics to …

Quantum Chaos has originally emerged as the field which studies how the properties of
classical chaotic systems arise in their quantum counterparts. The growing interest in …

arxiv:1206.6348v1 [nlin.CD] 27 Jun 2012 Page 1 arxiv:1206.6348v1 [nlin.CD] 27 Jun 2012
Loschmidt Echo Arseni Goussev1, Rodolfo A. Jalabert2, Horacio M. Pastawski3, and Diego …

In this review we summarize and amplify recent investigations of coupled quantum
dynamical systems with few degrees of freedom in the short-wavelength, semiclassical limit …

The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is
studied for low-dimensional chaotic systems through semiclassical expansions and …

We discuss the quantum bound on chaos in the context of the free propagation of a particle
in an arbitrarily curved surface at low temperatures. The semiclassical calculation of the …

We show that macroscopic nonintegrable lattices of spins 1/2, which are often considered to
be chaotic, do not exhibit the basic property of classical chaotic systems, namely …

The Loschmidt echo (LE) is a magnitude that measures the sensitivity of quantum dynamics
to perturbations in the Hamiltonian. For a certain regime of the parameters, the LE decays …

In this paper we review our recent work on the theoretical approach to quantum Loschmidt
echoes, ie, various properties of the so-called echo dynamics–the composition of forward …

We present a numerically feasible semiclassical (SC) method to evaluate quantum fidelity
decay (Loschmidt echo) in a classically chaotic system. It was thought that such evaluation …