Quantum scarring in a spin-boson system:Fundamental families of periodic orbits
| Autor: | David Villaseñor, Sergio Lerma-Hernández, Saúl Pilatowsky-Cameo, Miguel A. Bastarrachea-Magnani, Jorge G. Hirsch, Lea F. Santos |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Chaotic
General Physics and Astronomy FOS: Physical sciences Dynamical system 01 natural sciences Measure (mathematics) 010305 fluids & plasmas Quantum mechanics 0103 physical sciences Dicke model Periodic orbits 010306 general physics Quantum Eigenvalues and eigenvectors Condensed Matter - Statistical Mechanics Boson Spin-½ Physics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Nonlinear Sciences - Chaotic Dynamics Quantum scars Coherent states Chaos Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) |
| Zdroj: | Pilatowsky-Cameo, S, Villaseñor, D, Bastarrachea-Magnani, M A, Lerma-Hernández, S, Santos, L F & Hirsch, J G 2021, ' Quantum scarring in a spin-boson system : Fundamental families of periodic orbits ', New Journal of Physics, vol. 23, no. 3, 033045 . https://doi.org/10.1088/1367-2630/abd2e6 |
| Popis: | As the name indicates, a periodic orbit is a solution for a dynamical system that repeats itself in time. In the regular regime, periodic orbits are stable, while in the chaotic regime, they become unstable. The presence of unstable periodic orbits is directly associated with the phenomenon of quantum scarring, which restricts the degree of delocalization of the eigenstates and leads to revivals in the dynamics. Here, we study the Dicke model in the superradiant phase and identify two sets of fundamental periodic orbits. This experimentally realizable atom-photon model is regular at low energies and chaotic at high energies. We study the effects of the periodic orbits in the structure of the eigenstates in both regular and chaotic regimes and obtain their quantized energies. We also introduce a measure to quantify how much scarred an eigenstate gets by each family of periodic orbits and compare the dynamics of initial coherent states close and away from those orbits. 19 pages, 6 figures (as published) |
| Databáze: | OpenAIRE |
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