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Analytical energy spectrum for hybrid mechanical systems

Zhong, Honghua; Xie, Qiongtao; Guan, Xi-Wen; Batchelor, Murray; Gao, Kelin; Lee, C.-H.

Description

We investigate the energy spectrum for hybrid mechanical systems described by non-parity-symmetric quantum Rabi models. A set of analytical solutions in terms of the confluent Heun functions and their analytical energy spectrum is obtained. The analytical energy spectrum includes regular and exceptional parts, which are both confirmed by direct numerical simulation. The regular part is determined by the zeros of the Wronskian for a pair of analytical solutions. The exceptional part is relevant...[Show more]

dc.contributor.authorZhong, Honghua
dc.contributor.authorXie, Qiongtao
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorBatchelor, Murray
dc.contributor.authorGao, Kelin
dc.contributor.authorLee, C.-H.
dc.date.accessioned2015-12-10T23:32:23Z
dc.identifier.issn1751-8113
dc.identifier.urihttp://hdl.handle.net/1885/68816
dc.description.abstractWe investigate the energy spectrum for hybrid mechanical systems described by non-parity-symmetric quantum Rabi models. A set of analytical solutions in terms of the confluent Heun functions and their analytical energy spectrum is obtained. The analytical energy spectrum includes regular and exceptional parts, which are both confirmed by direct numerical simulation. The regular part is determined by the zeros of the Wronskian for a pair of analytical solutions. The exceptional part is relevant to the isolated exact solutions and its energy eigenvalues are obtained by analyzing the truncation conditions for the confluent Heun functions. By analyzing the energy eigenvalues for exceptional points, we obtain the analytical conditions for the energy-level crossings, which correspond to two-fold energy degeneracy.
dc.publisherIOP Electronic Journals
dc.sourceJournal of Physics A: Mathematical and Theoretical
dc.titleAnalytical energy spectrum for hybrid mechanical systems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume47
dc.date.issued2014
local.identifier.absfor020000 - PHYSICAL SCIENCES
local.identifier.ariespublicationU3488905xPUB1837
local.type.statusPublished Version
local.contributor.affiliationZhong, Honghua, Sun Yat-sen University
local.contributor.affiliationXie, Qiongtao, Hainan Normal University
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGao, Kelin, Chinese Academy of Sciences
local.contributor.affiliationLee, C.-H., Sun Yat-sen University
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.identifier.doi10.1088/1751-8113/47/4/045301
dc.date.updated2015-12-10T11:19:26Z
local.identifier.scopusID2-s2.0-84892595552
local.identifier.thomsonID000329754200013
CollectionsANU Research Publications

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