Anyonic-parity-time symmetry in complex-coupled lasers

Abstract

Non-Hermitian Hamiltonians, and particularly parity-time (PT) and anti-PT symmetric Hamiltonians, play an important role in many branches of physics, from quantum mechanics to optical systems and acoustics. Both the PT and anti-PT symmetries are specific instances of a broader class known as anyonic-PT symmetry, where the Hamiltonian and the PT operator satisfy a generalized commutation relation. Here, we study theoretically these novel symmetries and demonstrate them experimentally in coupled lasers systems. We resort to complex coupling of mixed dispersive and dissipative nature, which allows unprecedented control on the location in parameter space where the symmetry and symmetry-breaking occur. Moreover, tuning the coupling in the same physical system, allows us to realize the special cases of PT and anti-PT symmetries. In a more general perspective, we present and experimentally validate a new relation between laser synchronization and the symmetry of the underlying non-Hermitian Hamiltonian.

References in corpus (8)

• Making Sense of Non-Hermitian Hamiltonians
• The physics of exceptional points
• Loss-induced suppression and revival of lasing
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• General linewidth formula for steady-state multimode lasing in arbitrary cavities

Cited by in corpus (11)

• Non-Hermitian Photonic Lattices: tutorial
• Experimental Demonstration of Controllable PT and anti-PT Coupling in a non-Hermitian Metamaterial
• Frequency-stable robust wireless power transfer based on high-order pseudo-Hermitian physics
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Topological atomic spinwave lattices by dissipative couplings
• Synchronization in coupled laser arrays with correlated and uncorrelated disorder
• Large-scale time-multiplexed nanophotonic parametric oscillators
• Linear Response for pseudo-Hermitian Hamiltonian Systems: Application to PT-Symmetric Qubits
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Single-mode emission by phase-delayed coupling between nano-lasers
• The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing