PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model

Abstract

In systems with ``balanced loss and gain'', the PT-symmetry is broken by increasing the non-hermiticity or the loss-gain strength. We show that finite lattices with oscillatory, PT-symmetric potentials exhibit a new class of PT-symmetry breaking and restoration. We obtain the PT phase diagram as a function of potential periodicity, which also controls the location complex eigenvalues in the lattice spectrum. We show that the sum of PT-potentials with nearby periodicities leads to PT-symmetry restoration, where the system goes from a PT-broken state to a PT-symmetric state as the average loss-gain strength is increased. We discuss the implications of this novel transition for the propagation of a light in an array of coupled waveguides.

5 pages, 4 figures

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• Coalescence of spectral singularities and phase diagrams for one-dimensional PT symmetric photonic crystals
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Phase transitions in a non-Hermitian Aubry-André-Harper model
• Anderson localization in the Non-Hermitian Aubry-André-Harper model with physical gain and loss
• Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• Parity-time symmetric coupled asymmetric dimers
• Anderson localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p-wave pairing
• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Anderson localization transition in a robust $\mathcal{P}\mathcal{T}$-symmetric phase of a generalized Aubry-Andre model
• Emergent $\mathcal{P}\mathcal{T}$ symmetry in a double-quantum-dot circuit QED set-up
• $\mathcal{P}\mathcal{T}$ phase control in circular multicore fibers
• Engineering Dissipative Quasicrystals
• Exceptional points in oligomer chains
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a Kitaev chain with one pair of gain-loss potentials
• PT-symmetry breaking with divergent potentials: lattice and continuum cases
• Exactly solvable $\mathcal{P}\mathcal{T}$-symmetric models in two dimensions
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Equivalence and superposition of real and imaginary quasiperiodicities
• Electrical tunability due to coalescence of exceptional points in parity-time symmetric waveguides
• Raising the $\mathcal{P}\mathcal{T}$ transition threshold by strong coupling to neutral chains
• Making the PT symmetry unbreakable
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{P}\mathcal{T}-$symmetry
• PT-symmetry enabled stable modes in multi-core fiber
• Refractive index profiles for a $\mathcal{P}\mathcal{T}$-symmetric optical structure