PT spectroscopy of the Rabi problem

Abstract

We investigate the effects of a time-periodic, non-hermitian, PT-symmetric perturbation on a system with two (or few) levels, and obtain its phase diagram as a function of the perturbation strength and frequency. We demonstrate that when the perturbation frequency is close to one of the system resonances, even a vanishingly small perturbation leads to PT symmetry breaking. We also find a restored PT-symmetric phase at high frequencies, and at moderate perturbation strengths, we find multiple frequency windows where PT-symmetry is broken and restored. Our results imply that the PT-symmetric Rabi problem shows surprisingly rich phenomena absent in its hermitian or static counterparts.

arXiv comment5 pages, 4 figures

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• Experimental realization of Floquet PT-symmetric systems
• Consistency of PT-symmetric quantum mechanics
• Stabilizing Non-Hermitian Systems by Periodic Driving
• PT-symmetric Rabi model: Perturbation theory
• Time-dependent $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics in generic non-Hermitian systems
• Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation
• Observation of slowly decaying eigenmodes without exceptional points in Floquet, dissipative, synthetic circuits
• Tight-binding lattices with an oscillating imaginary gauge field
• Maximal quantum entanglement at exceptional points via unitary and thermal dynamics
• Piecewise Adiabatic Following in Non-Hermitian Cycling
• Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
• Analytical results for a parity-time symmetric two-level system under synchronous combined modulations
• Floquet exceptional contours in Lindblad dynamics with time-periodic drive and dissipation
• Unification of quantum Zeno-anti Zeno effects and parity-time symmetry breaking transitions
• On-demand Parity-Time symmetry in a lone oscillator through complex, synthetic gauge fields
• PT-symmetric quantum Rabi model
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Exact control of parity-time symmetry in periodically modulated nonlinear optical couplers
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation
• Solvable dilation model of $\mathcal{P}\mathcal{T}$-symmetric systems
• Piecewise Adiabatic Following: General Analysis and Exactly Solvable Models
• Parity-time symmetric systems with memory
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Perpetual emulation threshold of PT-symmetric Hamiltonians
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Conserved quantities in non-Hermitian systems via vectorization method
• Raising the $\mathcal{P}\mathcal{T}$ transition threshold by strong coupling to neutral chains
• Protecting coherence in the non-Hermitian two-level system
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Evolution operator for time-dependent non-Hermitian Hamiltonians
• Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics