Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach

Autor:	Jorge G Hirsch, Miguel Angel Bastarrachea-Magnani, David Villasenor, Saúl Pilatowsky-Cameo, Sergio Lerma-Hernandez
Rok vydání:	2021
Předmět:	Nonlinear Sciences::Chaotic Dynamics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Chaotic Dynamics (nlin.CD) Nonlinear Sciences - Chaotic Dynamics Quantum Physics (quant-ph) Condensed Matter - Statistical Mechanics
Zdroj:	Physical review. E. 105(6-1)
ISSN:	2470-0053
Popis:	By employing Husimi quasiprobability distributions, we show that a bounded portion of an unbounded phase space induces a finite effective dimension in an infinite dimensional Hilbert space. We compare our general expressions with numerical results for the spin-boson Dicke model in the chaotic energy regime, restricting its unbounded four-dimensional phase space to a classically chaotic energy shell. This effective dimension can be employed to characterize quantum phenomena in infinite dimensional systems, such as localization and scarring. Comment: 12 pages, 4 figures. (As published)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d5567949ccc26bb70945a23dee1ca1f https://pubmed.ncbi.nlm.nih.gov/35854500 Zobrazit plný text záznamu