Identification of quantum scars via phase-space localization measures
| Autor: | Saúl Pilatowsky-Cameo, David Villaseñor, Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernández, Lea F. Santos, Jorge G. Hirsch |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Quantum Physics
Physics and Astronomy (miscellaneous) Statistical Mechanics (cond-mat.stat-mech) Physics QC1-999 FOS: Physical sciences Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) Nonlinear Sciences - Chaotic Dynamics Atomic and Molecular Physics and Optics Condensed Matter - Statistical Mechanics |
| Zdroj: | Quantum, Vol 6, p 644 (2022) |
| Popis: | There is no unique way to quantify the degree of delocalization of quantum states in unbounded continuous spaces. In this work, we explore a recently introduced localization measure that quantifies the portion of the classical phase space occupied by a quantum state. The measure is based on the $\alpha$-moments of the Husimi function and is known as the R\'enyi occupation of order $\alpha$. With this quantity and random pure states, we find a general expression to identify states that are maximally delocalized in phase space. Using this expression and the Dicke model, which is an interacting spin-boson model with an unbounded four-dimensional phase space, we show that the R\'enyi occupations with $\alpha>1$ are highly effective at revealing quantum scars. Furthermore, by analyzing the high moments ($\alpha>1$) of the Husimi function, we are able to identify qualitatively and quantitatively the unstable periodic orbits that scar some of the eigenstates of the model. Comment: 13 pages, 3 figures |
| Databáze: | OpenAIRE |
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