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 (24)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Complex Extension of Quantum Mechanics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• The physics of exceptional points
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Loss-induced suppression and revival of lasing
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• PT-symmetric laser-absorber
• Visualization of Branch Points in PT-Symmetric Waveguides
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Artificial flat band systems: from lattice models to experiments
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• Complex Lasers with Controllable Coherence
• Nonlinear modal interactions in parity-time ($\mathcal{P}\mathcal{T}$) symmetric lasers
• Persistent coherent beating in coupled parametric oscillators
• Rapid Phase Retrieval by Lasing
• General linewidth formula for steady-state multimode lasing in arbitrary cavities
• Exact Mapping Between a Laser Network Loss Rate and the Classical XY Hamiltonian by Laser Loss Control
• Anyonic $\mathcal{P}\mathcal{T}$ symmetry, drifting potentials and non-Hermitian delocalization

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