Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope

Abstract

Non-Hermitian systems can exhibit unconventional spectral singularities called exceptional points (EPs). Various EP sensors have been fabricated in recent years, showing strong spectral responses to external signals. Here we propose how to achieve a nonlinear anti-parity-time ($\mathcal{A}\mathcal{P}\mathcal{T}$) gyroscope by spinning an optical resonator. We show that, in the absence of any nonlinearity, the sensitivity or optical mode splitting of the linear device can be magnified up to 3 orders than that of the conventional device without EPs. Remarkably, the $\mathcal{A}\mathcal{P}\mathcal{T}$ symmetry can be broken when including the Kerr nonlinearity of the materials and, as the result, the detection threshold can be significantly lowered, i.e., much weaker rotations which are well beyond the ability of a linear gyroscope can now be detected with the nonlinear device. Our work shows the powerful ability of $\mathcal{A}\mathcal{P}\mathcal{T}$ gyroscopes in practice to achieve ultrasensitive rotation measurement.

References in corpus (40)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Cavity Optomechanics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Photonic chip based optical frequency comb using soliton induced Cherenkov radiation
• PT-Symmetric Phonon Laser
• Nonreciprocal Photon Blockade
• Enhanced sensitivity operation of an optical gyroscope near an exceptional point
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• Nonreciprocal Optomechanical Entanglement against Backscattering Losses
• Nonreciprocal unconventional photon blockade in a spinning optomechanical system
• Dynamically encircling an exceptional point in anti-PT-symmetric systems: asymmetric mode switching for symmetry-broken states
• Petermann-factor limited sensing near an exceptional point
• Experimental demonstration of spontaneous chirality in a nonlinear microresonator
• Non-reciprocal nonlinear optic induced transparency and frequency conversion on a chip
• Antisymmetric PT-photonic structures with balanced positive and negative index materials
• PT Metamaterials via Complex-Coordinate Transformation Optics
• Unconventional Singularity in Anti-Parity-Time Symmetric Cavity Magnonics
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Synthetic parity-time symmetry breaking in a single microcavity
• Breaking Anti-$\mathcal{P}\mathcal{T}$ Symmetry by Spinning a Resonator
• Symmetry Breaking of Counter-Propagating Light in a Nonlinear Resonator
• Ultrasensitive micro-scale parity-time-symmetric ring laser gyroscope
• Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Observation of anti-parity-time-symmetry, phase transitions and exceptional points in an optical fibre
• Enhanced sensing of weak anharmonicities through coherences in dissipatively coupled anti-PT symmetric systems
• Odd-time reversal $PT$ symmetry induced by anti-$PT$-symmetric medium
• Quantum correlations near the exceptional point
• Parity-Time Anti-Symmetric Parametric Amplifier
• Non-Dissipative Non-Hermitian Dynamics and Exceptional Points in Coupled Optical Parametric Oscillators
• Experimental observation of information flow in the anti-$\mathcal{P}\mathcal{T}$-symmetric system
• Nonreciprocal optical solitons in a spinning Kerr resonator
• $\mathcal{P}\mathcal{T}$ symmetry and anti-symmetry by anti-Hermitian wave coupling and nonlinear optical interactions
• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Scattering properties of anti-parity-time symmetric non-Hermitian system
• Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution
• Analysis of the axialvector $B_c$-like tetraquark states with the QCD sum rules
• Oscillation death in coupled counter-rotating identical nonlinear oscillators
• Single-Cavity Bi-Color Laser Enabled by Optical Anti-Parity-Time Symmetry

Cited by in corpus (5)

• Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points
• Anti-parity-time symmetry hidden in a damping linear resonator
• Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit
• Enhanced response at exceptional points in multi-qubit systems for sensing
• A table-top high-sensitivity gyroscope based on slow light and cavity enhanced photon drag