Exactly solvable PT -symmetric models in two dimensions
dc.contributor.author | Agarwal, Kaustubh S. | |
dc.contributor.author | Pathak, Rajeev K. | |
dc.contributor.author | Joglekar, Yogesh N. | |
dc.contributor.department | Department of Physics, School of Science | en_US |
dc.date.accessioned | 2016-06-15T15:39:10Z | |
dc.date.available | 2016-06-15T15:39:10Z | |
dc.date.issued | 2015-11 | |
dc.description.abstract | Non-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.version | Author's manuscript | en_US |
dc.identifier.citation | Agarwal, 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.uri | https://hdl.handle.net/1805/9979 | |
dc.language.iso | en | en_US |
dc.publisher | IOP | en_US |
dc.relation.isversionof | 10.1209/0295-5075/112/31003 | en_US |
dc.relation.journal | EPL (Europhysics Letters) | en_US |
dc.rights | IUPUI Open Access Policy | en_US |
dc.source | ArXiv | en_US |
dc.subject | PT Hamiltonians | en_US |
dc.subject | $\mathcal{PT}$ phase diagrams | en_US |
dc.title | Exactly solvable PT -symmetric models in two dimensions | en_US |
dc.type | Article | en_US |