Fractional revivals through Rényi uncertainty relations
arXiv:1409.5581 · doi:10.1103/PhysRevA.78.013837
Abstract
We show that the Rényi uncertainty relations give a good description of the dynamical behavior of wave packets and constitute a sound approach to revival phenomena by analyzing three model systems: the simple harmonic oscillator, the infinite square well, and the quantum bouncer. We prove the usefulness of entropic uncertainty relations as a tool for identifying fractional revivals by providing a comparison in different contexts with the usual Heisenberg uncertainty relation and with the common approach in terms of the autocorrelation function.
6 pages, 4 figures
References in corpus (16)
- Matrix product states represent ground states faithfully
- Extremal entanglement and mixedness in continuous variable systems
- Quantum wave packet revivals
- Formulation of the uncertainty relations in terms of the Renyi entropies
- Entropic uncertainty relations and entanglement
- Direct measurement of non-linear properties of bipartite quantum states
- Coherent Evolution of Bouncing Bose-Einstein Condensates
- Visualizing the collapse and revival of wavepackets in the infinite square well using expectation values
- NMR experiment factors numbers with Gauss sums
- Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses
- Renyi-Wehrl entropies as measures of localization in phase space
- Gauss sum factorization with cold atoms
- An elementary formula for entanglement entropies of fermionic systems
- A generalized skew information and uncertainty relation
- Identifying wave packet fractional revivals by means of information entropy
- Expectation value analysis of wave packet solutions for the quantum bouncer: short-term classical and long-term revival behavior
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