Experimental realization of Floquet PT-symmetric systems

Abstract

We provide an experimental framework where periodically driven PT-symmetric systems can be investigated. The set-up, consisting of two UHF oscillators coupled by a time-dependent capacitance, demonstrates a cascade of PT-symmetric broken domains bounded by exceptional point degeneracies. These domains are analyzed and understood using an equivalent Floquet frequency lattice with local PT-symmetry. Management of these PT-phase transition domains is achieved through the amplitude and frequency of the drive.

6 pages, 3 figures

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• Non-Dissipative Non-Hermitian Dynamics and Exceptional Points in Coupled Optical Parametric Oscillators
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• Floquet Scattering Theory based on Effective Hamiltonians of Driven Systems
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• Exact solution of a non-Hermitian $\mathcal{PT}$-symmetric Heisenberg spin chain
• Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
• Observation of two PT transitions in an electric circuit with balanced gain and loss
• Floquet exceptional contours in Lindblad dynamics with time-periodic drive and dissipation
• On-demand Parity-Time symmetry in a lone oscillator through complex, synthetic gauge fields
• Unification of quantum Zeno-anti Zeno effects and parity-time symmetry breaking transitions
• Floquet Perfect Absorbers based on Periodically Driven Targets
• Active Polarization Control with a Parity-Time Symmetric Plasmonic Resonator
• PT-symmetric quantum graphs
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Detecting exceptional points through dynamics in non-Hermitian systems
• Multimode parity-time and loss-compensation symmetries in coupled waveguides with loss and gain
• Entanglement phase transitions in non-Hermitian Floquet systems
• Universal Route for the Emergence of Exceptional Points in PT-Symmetric Metamaterials with Unfolding Spectral Symmetries
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Driving-induced metamorphosis of transport in arrays of coupled resonators
• Non-Markovian anti-parity-time symmetric systems: theory and experiment
• Spin Josephson effects of spin-orbit-coupled Bose-Einstein condensates in a non-Hermitian double well
• One-dimensional time-Floquet photonic crystal
• Floquet Protocols of Adiabatic State-Flips and Re-Allocation of Exceptional Points
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• Oscillating potential well in complex plane and the adiabatic theorem
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Quantum dynamics of PT-symmetrically kicked particle confined in a 1D box
• Non-hermitian time evolution: from static to parametric instability
• Non-Hermitian Floquet-Free Analytically Solvable Time Dependant Systems
• Scattering of Spin-$\frac{1}{2}$ Particles from a $\mathcal{P}\mathcal{T}$-symmetric Complex Potential
• Enhancing mechanical entanglement in molecular optomechanics
• Design algorithms of driving-induced nonreciprocal components
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• $\mathcal{P}\mathcal{T}$-symmetry phase transition in a Bose-Hubbard model with localized gain and loss
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• Singularities of Floquet Scattering and Tunneling
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• PT-symmetry enabled stable modes in multi-core fiber
• Exceptional Points of Degeneracy Induced by Linear Time-Periodic Variation Hamidreza
• Out-of-time-order correlation and detection of phase structure in Floquet transverse Ising spin system