We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss some basic features such as quantum decoherence of the wave functions resulting from the corresponding quantum dynamics of these systems that exhibit no time dependence in their quantum correlations. In particular, steady statistical momentum averages are seen over well defined time intervals in the evolution of a linear superposition of the basis states of modified exponentially damped mass systems.
On the existence and robustness of steady position-momentum correlations for time-dependent quadratic systems
GIANFREDA, MARIAGIOVANNA;LANDOLFI, Giulio
2012-01-01
Abstract
We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss some basic features such as quantum decoherence of the wave functions resulting from the corresponding quantum dynamics of these systems that exhibit no time dependence in their quantum correlations. In particular, steady statistical momentum averages are seen over well defined time intervals in the evolution of a linear superposition of the basis states of modified exponentially damped mass systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
