Identifying Wave-Packet Fractional Revivals by Means of Information Entropy
نویسندگان
چکیده
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...
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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 ...
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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...
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We describe the time evolution of a wave function in the infinite square well using a fractional revival formalism, and show that at all times the wave function can be described as a superposition of translated copies of the initial wave function. Using the model of a wave form propagating on a dispersionless string from classical mechanics to describe these translations, we connect the reflect...
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...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2007
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.99.263601