Exact control of parity-time symmetry in periodically modulated nonlinear optical couplers

TL;DR

This paper presents an analytical method to precisely control parity-time symmetry in nonlinear optical couplers through periodic modulation, enabling manipulation between symmetry-breaking and PT-symmetric states for all-optical signal control.

Contribution

It introduces a novel analytical approach for exact control of PT symmetry in nonlinear optical systems using periodic modulation, which was not previously available.

Findings

Exact analytical solutions for nonlinear coupler dynamics.

Controlled transition between symmetry-breaking and PT-symmetric states.

Potential for all-optical signal manipulation.

Abstract

We propose a mechanism for realization of exact control of parity-time (PT) symmetry by using a periodically modulated nonlinear optical coupler with balanced gain and loss. It is shown that for certain appropriately chosen values of the modulation parameters, we can construct a family of exact analytical solutions for the two-mode equations describing the dynamics of such nonlinear couplers. These exact solutions give explicit examples that allow us to precisely manipulate the system from nonlinearity-induced symmetry breaking to PT symmetry, thus providing an analytical approach to the all-optical signal control in nonlinear PT-symmetric structures.