PT-symmetry Management in Oligomer Systems

Abstract

We study the effects of management of the PT-symmetric part of the potential within the setting of Schrödinger dimer and trimer oligomer systems. This is done by rapidly modulating in time the gain/loss profile. This gives rise to a number of interesting properties of the system, which are explored at the level of an averaged equation approach. Remarkably, this rapid modulation provides for a controllable expansion of the region of exact PT-symmetry, depending on the strength and frequency of the imposed modulation. The resulting averaged models are analyzed theoretically and their exact stationary solutions are translated into time-periodic solutions through the averaging reduction. These are, in turn, compared with the exact periodic solutions of the full non-autonomous PT-symmetry managed problem and very good agreement is found between the two.

References in corpus (13)

• Unidirectional Nonlinear PT-symmetric Optical Structures
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Solitons in PT-symmetric nonlinear lattices
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Breathers in PT-symmetric optical couplers
• Stable dark solitons in PT-symmetric dual-core waveguides
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a necklace of coupled optical waveguides
• Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
• Nonlinear dynamics in PT-symmetric lattices
• PT-Symmetric Dimer of Coupled Nonlinear Oscillators
• Nonintegrable Schrodinger Discrete Breathers

Cited by in corpus (5)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Hamiltonian formulation of the standard $\mathcal{P}\mathcal{T}$-symmetric nonlinear Schrödinger dimer
• $\mathcal{P}\mathcal{T}$ symmetry breaking in waveguide arrays with competing loss/gain pairs
• Optical solitons in periodically managed PT-symmetric media