منابع مشابه
Quantum wave packet revivals
The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantum revivals are characterized by initially localized quantum states which have a short-term, quasi-classical time evolution, which then can spread significantly over several orbits, only to reform later in...
متن کاملQuantum wave packet revivals in circular billiards
Abstract We examine the long-term time-dependence of Gaussian wave packets in a circular infinite well (billiard) system and find that there are approximate revivals. For the special case of purely m = 0 states (central wave packets with no momentum) the revival time is T (m=0) rev = 8μR2/~π, where μ is the mass of the particle, and the revivals are almost exact. For all other wave packets, we ...
متن کاملRevivals of Quantum Wave Packets
We present a generic treatment of wave-packet revivals for quantum-mechanical systems. This treatment permits a classification of certain ideal revival types. For example, wave packets for a particle in a one-dimensional box are shown to exhibit perfect revivals. We also examine the revival structure of wave packets for quantum systems with energies that depend on two quantum numbers. Wave pack...
متن کاملGeometric phase effects for wave-packet revivals.
The study of wavepacket revivals is extended to the case of Hamiltonians which are made time-dependent through the adiabatic cycling of some parameters. It is shown that the quantal geometric phase (Berry’s phase) causes the revived packet to be displaced along the classical trajectory, by an amount equal to the classical geometric phase (Hannay’s angle), in one degree of freedom. A physical ex...
متن کاملRevivals of quantum wave-packets in graphene
We investigate the propagation of wave-packets on graphene in a perpendicular magnetic field and the appearance of collapses and revivals in the timeevolution of an initially localised wave-packet. The wave-packet evolution in graphene differs drastically from the one in an electron gas and shows a rich revival structure similar to the dynamics of highly excited Rydberg states. We present a nov...
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ژورنال
عنوان ژورنال: Physics Reports
سال: 2004
ISSN: 0370-1573
DOI: 10.1016/j.physrep.2003.11.002