Exactly solvable PT -symmetric models in two dimensions

dc.contributor.authorAgarwal, Kaustubh S.
dc.contributor.authorPathak, Rajeev K.
dc.contributor.authorJoglekar, Yogesh N.
dc.contributor.departmentDepartment of Physics, School of Scienceen_US
dc.date.accessioned2016-06-15T15:39:10Z
dc.date.available2016-06-15T15:39:10Z
dc.date.issued2015-11
dc.description.abstractNon-Hermitian, $\mathcal{PT}$ -symmetric Hamiltonians, experimentally realized in optical systems, accurately model the properties of open, bosonic systems with balanced, spatially separated gain and loss. We present a family of exactly solvable, two-dimensional, $\mathcal{PT}$ potentials for a non-relativistic particle confined in a circular geometry. We show that the $\mathcal{PT}$ -symmetry threshold can be tuned by introducing a second gain-loss potential or its Hermitian counterpart. Our results explicitly demonstrate that $\mathcal{PT}$ breaking in two dimensions has a rich phase diagram, with multiple re-entrant $\mathcal{PT}$ -symmetric phases.en_US
dc.eprint.versionAuthor's manuscripten_US
dc.identifier.citationAgarwal, K. S., Pathak, R. K., & Joglekar, Y. N. (2015). Exactly solvable PT-symmetric models in two dimensions. EPL (Europhysics Letters), 112(3), 31003.en_US
dc.identifier.urihttps://hdl.handle.net/1805/9979
dc.language.isoenen_US
dc.publisherIOPen_US
dc.relation.isversionof10.1209/0295-5075/112/31003en_US
dc.relation.journalEPL (Europhysics Letters)en_US
dc.rightsIUPUI Open Access Policyen_US
dc.sourceArXiven_US
dc.subjectPT Hamiltoniansen_US
dc.subject$\mathcal{PT}$ phase diagramsen_US
dc.titleExactly solvable PT -symmetric models in two dimensionsen_US
dc.typeArticleen_US
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