23 citations · 105 across the 6 of their papers we have counts for
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cond-mat.mes-hall2009★ 21 cited
Quantum Corrections to Fidelity Decay in Chaotic Systems
Boris Gutkin, Daniel Waltner, Martha Gutierrez +2
By considering correlations between classical orbits we derive semiclassical expressions for the decay of the quantum fidelity amplitude for classically chaotic quantum systems, as…
nlin.CD2009★ 18 cited
Long-time saturation of the Loschmidt echo in quantum chaotic billiards
Martha Gutiérrez, Arseni Goussev
The Loschmidt echo (LE) (or fidelity) quantifies the sensitivity of the time evolution of a quantum system with respect to a perturbation of the Hamiltonian. In a typical chaotic s…