A dynamical signature of quantum chaos in hydrogen atom under strong, oscillating magnetic fields
Department of Chemical Sciences, Indian Institute of Science Education and Research-Kolkata, Mohanpur Campus Post Office BCKV Main Campus, Mohanpur 741252, India
Accepted: 26 April 2011
A dynamical signature of quantum chaos is proposed in terms of the nonlinear growth of time-dependent (TD) distance function between two trajectories, corresponding to two slightly different Hamiltonians, in what is defined as Ehrenfest phase space. Through comparisons of this signature with the TD correlation function and the Loschmidt echo in case of the hydrogen atom in strong, oscillating magnetic fields, the effectiveness of the proposed signature is demonstrated.
PACS: 05.45.Mt – Quantum chaos; semiclassical methods / 32.10.Dk – Electric and magnetic moments, polarizabilities / 03.65.-w – Quantum mechanics
© EPLA, 2011