Browsing by Subject "$\mathcal{PT}$ phase diagrams"

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    Exactly solvable PT -symmetric models in two dimensions
    (IOP, 2015-11) Agarwal, Kaustubh S.; Pathak, Rajeev K.; Joglekar, Yogesh N.; Department of Physics, School of Science
    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.