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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…
nlin.CD2008★ 7 cited
The semiclassical continuity equation for open chaotic systems
Jack Kuipers, Daniel Waltner, Martha Gutierrez +1
We consider the continuity equation for open chaotic quantum systems in the semiclassical limit. First we explicitly calculate a semiclassical expansion for the probability current…