Systems that become $\mathcal{P}\mathcal{T}$ symmetric through interaction

Abstract

In this article, we consider an interesting class of optical and other systems in which the interaction or coupling makes the systems to be $\mathcal{P}\mathcal{T}$-symmetric. We aim to compare their dynamical behaviors with that of the usual $\mathcal{P}\mathcal{T}$ symmetric systems with intrinsic loss-gain terms. In particular, we focus on the interesting non-reciprocal nature of the $\mathcal{P}\mathcal{T}$ symmetric systems which has a promising application in optical diodes and optical isolators. We check whether the non-reciprocal nature is common to all $\mathcal{P}\mathcal{T}$ symmetric systems and, if not, what are the situations under which it can be observed. Due to the recent interest in studying spontaneous symmetry breaking in coupled waveguide systems, we here present such symmetry breaking bifurcations in certain reciprocal and non-reciprocal $\mathcal{P}\mathcal{T}$ symmetric systems.

Accepted for publication in Phys. Rev. A

References in corpus (8)

• Unidirectional Nonlinear PT-symmetric Optical Structures
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Spontaneous mirror-symmetry breaking in a photonic molecule
• Hamiltonian formulation of the standard $\mathcal{P}\mathcal{T}$-symmetric nonlinear Schrödinger dimer
• Dimer with gain and loss: Integrability and $\mathcal{P}\mathcal{T}$-symmetry restoration
• Symmetry breaking in laser cavities
• Tilted optical lattices with defects as realizations of PT symmetry in Bose-Einstein condensates
• Generalized Dimers and their Stokes-variable Dynamics

Cited by in corpus (6)

• Tailoring $\mathcal{P}\mathcal{T}$-symmetric soliton switch
• Dissipative optical solitons in asymmetric Rosen-Morse potential
• Solitons in a chain of charge-parity-symmetric dimers
• Controlling of blow-up responses by a nonlinear $\mathcal{P}\mathcal{T}$ symmetric coupling
• An unusual phase transition in a non-Hermitian Su-Schrieffer-Heeger model
• Discrete solitons dynamics in $\mathcal{P}\mathcal{T}$-symmetric oligomers with complex-valued couplings