Parity-time symmetry under magnetic flux

Abstract

We study a parity-time (PT) symmetric ring lattice, with one pair of balanced gain and loss located at opposite positions. The system remains PT-symmetric when threaded by a magnetic flux; however, the PT symmetry is sensitive to the magnetic flux, in the presence of a large balanced gain and loss, or in a large system. We find a threshold gain/loss, above which, any nontrivial magnetic flux breaks the PT symmetry. We obtain the maximally tolerable magnetic flux for the exact PT-symmetric phase, which is approximately linearly dependent on a weak gain/loss.

7 pages, 7 figures, to be appeared in Phys. Rev. A

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Cited by in corpus (8)

• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Non-Hermitian scattering on a tight-binding lattice
• Flat band in two-dimensional non-Hermitian optical lattices
• Chiral current circulation and $\mathcal{P}\mathcal{T}$ symmetry in a trimer of oscillators
• Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
• Broken Hermiticity phase transition in Bose-Hubbard model