Nature of quantum recurrences in coupled higher dimensional systems

Nature of quantum recurrences in coupled higher dimen- sional systems

– We investigate recurrence phenomena in coupled two degrees of freedom systems. It is shown that an initial well localized wave packet displays recurrences even in the presence of coupling in these systems. We discuss the interdependence of these time scales namely, classical period and quantum revival time, and explain significance of initial conditions. Characteristics of quantum systems, wh...

Recurrences in driven quantum systems.

We consider an initially bound quantum particle subject to an external time-dependent field. When the external field is large, the particle shows a tendency to repeatedly return to its initial state, irrespective of whether the frequency of the field is sufficient for escape from the well. These recurrences, which are absent in a classical calculation, arise from the system evolving primarily l...

Quantum Recurrences in Periodically Driven Systems

The phenomena of recurrence or revival is a beautiful combination of classical mechanics, wave mechanics, and quantum laws. A wave packet evolves over a short period of time in a potential, initially following classical mechanics. It spreads while moving along its classical trajectory, however rebuilds itself after a classical period. It follows wave mechanics in its long time evolution and gra...

Quantum recurrences in a one-dimensional gas of impenetrable bosons.

It is well-known that a dilute one-dimensional (1D) gas of bosons with infinitely strong repulsive interactions behaves like a gas of free fermions. Just as with conduction electrons in metals, we consider a single-particle picture of the resulting dynamics, when the gas is isolated by enclosing it into a box with hard walls and preparing it in a special initial state. We show, by solving the n...

Quantum nanostructures in strongly spin-orbit coupled two- dimensional systems