Long-Lasting Exponential Spreading in Periodically Driven Quantum Systems

2011/11/30 by Jiao Wang, Italo Guarneri, Giulio Casati +1 · 2 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Exponential decay #Exponential function #Mathematical analysis #Mathematics #Momentum (technical analysis) #Nonlinear Photonic Systems #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Space (punctuation) #Statistical physics #Wave packet #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.234104

published as Phys. Rev. Lett. 107, 234104 (2011) · 4 figures, 6 pages (including supplementary material), published in the 2nd of December, 2011 issue of PRL

openalex publication_date 2011/11/30 · arxiv created 2012/01/12 · arxiv updated 2012/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using a dynamical model relevant to cold-atom experiments, we show that long-lasting exponential spreading of wave packets in momentum space is possible. Numerical results are explained via a pseudoclassical map, both qualitatively and quantitatively. Possible applications of our findings are also briefly discussed.

Citations

• Stable Quantum Resonances in Atom Optics
• Quantum ratchet accelerator without a bichromatic lattice potential
• Quantum Accelerator Modes Near Higher-Order Resonances
• Superballistic spreading of wave packets
• Spectral relationships between kicked Harper and on-resonance double kicked rotor operators

Cited by

• Superballistic wavepacket spreading in double kicked rotors
• Exponential quantum spreading in a class of kicked rotor systems near high-order resonances