Agarwal, Kaustubh S.Pathak, Rajeev K.Joglekar, Yogesh N.2016-06-152016-06-152015-11Agarwal, K. S., Pathak, R. K., & Joglekar, Y. N. (2015). Exactly solvable PT-symmetric models in two dimensions. EPL (Europhysics Letters), 112(3), 31003.https://hdl.handle.net/1805/9979Non-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.enIUPUI Open Access PolicyPT Hamiltonians$\mathcal{PT}$ phase diagramsArticle