19 citations · 59 across the 7 of their papers we have counts for
5 papers · 1 filter
Local quantum ergodic conjecture
E. Zambrano, W. P. Karel Zapfe, Alfredo M. Ozorio de Almeida
The Quantum Ergodic Conjecture equates the Wigner function for a typical eigenstate of a classically chaotic Hamiltonian with a delta-function on the energy shell. This ensures the…
An initial value representation for the Loschmidt echo
Eduardo Zambrano, Alfredo M. Ozorio de Almeida
We obtain an initial value representation for the quantum Loschmidt echo from the semiclassical theory of Wigner function evolution, together with classical first-order perturbatio…
Semiclassical theory for small displacements
Eduardo Zambrano, Alfredo M. Ozorio de Almeida
Characteristic functions contain complete information about all the moments of a classical distribution and the same holds for the Fourier transform of the Wigner function: a quant…
Blind spots between quantum states
Eduardo Zambrano, Alfredo M Ozorio de Almeida
The overlap of a large quantum state with its image, under tiny translations, oscillates swiftly. We here show that complete orthogonality occurs generically at isolated points. De…
Uniform approximation for the overlap caustic of a quantum state with its translations
Eduardo Zambrano, Alfredo M Ozorio de Almeida
The semiclassical Wigner function for a Bohr-quantized energy eigenstate is known to have a caustic along the corresponding classical closed phase space curve in the case of a sing…