Parity–Time Symmetry in Bidirectionally Coupled Semiconductor Lasers
Open Access
Abstract
We report on the numerical analysis of intensity dynamics of a pair of mutually coupled, single-mode semiconductor lasers that are operated in a configuration that leads to features reminiscent of parity–time symmetry. Starting from the rate equations for the intracavity electric fields of the two lasers and the rate equations for carrier inversions, we show how these equations reduce to a simple 2 × 2 effective Hamiltonian that is identical to that of a typical parity–time (PT)-symmetric dimer. After establishing that a pair of coupled semiconductor lasers could be PT-symmetric, we solve the full set of rate equations and show that despite complicating factors like gain saturation and nonlinearities, the rate equation model predicts intensity dynamics that are akin to those in a PT-symmetric system. The article describes some of the advantages of using semiconductor lasers to realize a PT-symmetric system and concludes with some possible directions for future work on this system.Keywords
This publication has 34 references indexed in Scilit:
- Observation of PT phase transition in a simple mechanical systemAmerican Journal of Physics, 2013
- Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequenciesNature Materials, 2012
- Broken symmetry makes light workNature Physics, 2010
- Observation of parity–time symmetry in opticsNature Physics, 2010
- On the pseudo-Hermitian nondiagonalizable HamiltoniansJournal of Mathematical Physics, 2003
- Complex Extension of Quantum MechanicsPhysical Review Letters, 2002
- Modeling bidirectionally coupled single-mode semiconductor lasersPhysical Review A, 2002
- Real Spectra in Non-Hermitian Hamiltonians HavingSymmetryPhysical Review Letters, 1998
- Localized Synchronization in Two Coupled Nonidentical Semiconductor LasersPhysical Review Letters, 1997
- External optical feedback effects on semiconductor injection laser propertiesIEEE Journal of Quantum Electronics, 1980