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Titimbo, K.; Lando, G. M.; de Almeida, A. M. Ozorio
Distinguishing quantum features in classical propagation
Source PublicationPHYSICA SCRIPTA
AbstractThe strictly classical propagation of an initial Wigner function, referred to as TWA or LSC-IVR, is considered to provide approximate averages, despite not being a true Wigner function: it does not represent a positive operator. We here show that its symplectic Fourier transform, the truncated chord approximation (TCA), coincides with the full semiclassical approximation to the evolved quantum characteristic function (or chord function) in a narrow neighbourhood of the origin of the dual chord phase space. Surprisingly, this small region accounts for purely quantum features, such as blind spots and local wave function correlations, as well as the expectation of observables with a close classical correspondence. Direct numerical comparison of the TCA with exact quantum results verifies the semiclassical predictions for an initial coherent state evolving under the Kerr Hamiltonian. The resulting clear criterion for any further features, which may be estimated by classical propagation, is that, within the chord representation, they are concentrated near the origin.
Cooperation Status国际
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
Indexed BySCIE
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Document Type期刊论文
Affiliation1.[Titimbo, K.
2.Lando, G. M.
3.Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, Brazil
4.[Titimbo, K.] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
5.[Lando, G. M.] Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany
Recommended Citation
GB/T 7714
Titimbo, K.,Lando, G. M.,de Almeida, A. M. Ozorio. Distinguishing quantum features in classical propagation[J]. PHYSICA SCRIPTA,2021,96(1):15219.
APA Titimbo, K.,Lando, G. M.,&de Almeida, A. M. Ozorio.(2021).Distinguishing quantum features in classical propagation.PHYSICA SCRIPTA,96(1),15219.
MLA Titimbo, K.,et al."Distinguishing quantum features in classical propagation".PHYSICA SCRIPTA 96.1(2021):15219.
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