Parity-Time Anti-Symmetric Parametric Amplifier

Abstract

We describe the process of parametric amplification in a directional coupler of quadratically nonlinear and lossy waveguides, which belong to a class of optical systems with spatial parity-time (PT) symmetry in the linear regime. We identify a distinct spectral parity-time anti-symmetry associated with optical parametric interactions, and show that pump-controlled symmetry breaking can facilitate spectrally selective mode amplification in analogy with PT lasers. We also establish a connection between breaking of spectral and spatial mode symmetries, revealing the potential to implement unconventional regimes of spatial light switching through ultrafast control of PT breaking by pump pulses.

5 pages, 5 figures

References in corpus (4)

• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Multi-stability and condensation of exciton-polaritons below threshold

Cited by in corpus (25)

• Nonlinear switching and solitons in PT-symmetric photonic systems
• Dynamically encircling an exceptional point in anti-PT-symmetric systems: asymmetric mode switching for symmetry-broken states
• Observation of anti-parity-time-symmetry, phase transitions and exceptional points in an optical fibre
• Non-Dissipative Non-Hermitian Dynamics and Exceptional Points in Coupled Optical Parametric Oscillators
• Nonreciprocal Transmission in Nonlinear PT-Symmetric Metamaterials Using Epsilon-near-Zero Media Doped with Defects
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• $\mathcal{P}\mathcal{T}$ symmetry and anti-symmetry by anti-Hermitian wave coupling and nonlinear optical interactions
• Optical Reciprocity Induced Symmetry of the Scattering Eigenstates in Non-$\mathcal{P}\mathcal{T}$-Symmetric Heterostructures
• Synthetic magnetism for photon fluids
• Quantum Fisher Information Perspective on Sensing in Anti-PT Symmetric Systems
• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Scattering properties of anti-parity-time symmetric non-Hermitian system
• Solitons in a $\mathcal{P}\mathcal{T}$- symmetric ${\chi }^{(2)}$ coupler
• Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution
• Parametrically driving a quantum oscillator into exceptionality
• Detecting topological exceptional points in a parity-time symmetric system with cold atoms
• Nonlinear Zel'dovich effect: Parametric amplification from medium rotation
• Enhancing the sensitivity of nonlinearity sensors through homodyne detection in dissipatively coupled systems
• Anyonic $\mathcal{P}\mathcal{T}$ symmetry, drifting potentials and non-Hermitian delocalization
• Non-Hermiticity in quantum nonlinear optics through symplectic transformations
• Enhanced sensing of optomechanically induced nonlinearity by linewidth suppression and optical bistability in cavity-waveguide systems
• Non-Hermitian matter wave mixing in Bose Einstein condensates: dissipation induced amplification
• A PT-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling
• How do CPT-like symmetries shape the stability of geophysical flows?
• Non-Hermitian Higher-Order Dirac Semimetals