Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities

Abstract

The interplay between the nonclassical features and the parity-time (PT) symmetry (or its breaking) is studied here by considering a PT symmetric system consisting of two cavities with gain and loss. The conditions for PT invariance is obtained for this system. The behavior of the average photon number corresponding to the gain and loss modes for different initial states (e.g., vacuum, NOON, coherent, and thermal states) has also been obtained. With the help of the number operators, quantum Zeno and anti-Zeno effects are studied, and the observed behavior is compared in PT symmetric (PTS) and PT symmetry broken (PTSB) regimes. It has been observed that the relative phase of the input coherent fields plays a key role in the occurrence of these effects. Further, some nonclassicality features are witnessed using criteria based on the number operator(s). Specifically, intermodal antibunching, sum and difference squeezing, are investigated for specific input states. It is found that the various nonclassical features, including the observed quantum Zeno and anti-Zeno effects, are suppressed when one goes from PTS to PTSB regime. In other words, the dominance of the loss/gain rate in the field modes over the coupling strength between them diminishes the nonclassical features of the system.

arXiv commentThe interplay between the nonclassical features and the parity-time (PT) symmetry (or its breaking) is studied here by considering a PT symmetric system consisting of two coupled cavities with gain and loss. Specific focus is given on Zeno and anti-Zeno effect

References in corpus (61)

• Quantum entanglement
• Quantum Cryptography
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Bell nonlocality
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Quantum Games and Quantum Strategies
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• PT-Symmetric Phonon Laser
• Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
• Protecting entanglement via the quantum Zeno effect
• Preparation of Nonclassical States in Cavities with a Moving Mirror
• Quantum steering: a review with focus on semidefinite programming
• Observation of the Quantum Zeno and Anti-Zeno effects in an unstable system
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Exact PT-Symmetry Is Equivalent to Hermiticity
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• A review of progress in the physics of open quantum systems: theory and experiment
• Thermodynamical Control by Frequent Quantum Measurements
• Continuous and Pulsed Quantum Zeno Effect
• Quantum Zeno switch for single-photon coherent transport
• PT-Symmetric Wave Chaos
• Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
• Probing the ladder of dressed states and nonclassical light generation in quantum dot-cavity QED
• Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
• Spontaneous Generation of Photons in Transmission of Quantum Fields in PT Symmetric Optical Systems
• Higher order nonclassicalities in a codirectional nonlinear optical coupler: Quantum entanglement, squeezing and antibunching
• Zeno and anti-Zeno effects for quantum Brownian motion
• Resonances in open quantum systems
• Quantum Zeno Effect in the Quantum Non-Demolition Detection of Itinerant Photons
• Quantum cryptography: key distribution and beyond
• Quantum Zeno effects from measurement controlled qubit-bath interactions
• Suppression of Magnetic State Decoherence Using Ultrafast Optical Pulses
• PT-symmetric quantum field theory in D dimensions
• Open quantum systems and Dicke superradiance
• Observation of the Quantum Zeno Effect on a Single Solid State Spin
• Energy localization enhanced ground-state cooling of mechanical resonator from room temperature in optomechanics using a gain cavity
• Nonclassicality in two-mode BEC
• Intermodal entanglement in Raman processes
• Quantum Zeno subspaces by repeated multi-spin projections
• Parrondo's game using a discrete-time quantum walk
• Discrete--time ratchets, the Fokker--Planck equation and Parrondo's paradox
• Quasiprobability distributions in open quantum systems: spin-qubit systems
• Lower- and higher-order nonclassical properties of photon added and subtracted displaced Fock states
• Comparison of lower order and higher order nonclassicality in photon added and photon subtracted squeezed coherent states
• Nonclassical properties of a contradirectional nonlinear optical coupler
• Zeno dynamics in quantum open systems
• Zeno and anti-Zeno dynamics in spin-bath models
• Classical light vs. nonclassical light: Characterizations and interesting applications
• Experimental quantum Zeno effect in NMR with entanglement-based measurement
• Linear and nonlinear quantum Zeno and anti-Zeno effects in a nonlinear optical coupler
• Quantum interference and exceptional points
• Criterion for quantum Zeno and anti-Zeno effects
• Probing nonclassicality in an optically-driven cavity with two atomic ensembles
• Gain and loss in open quantum systems
• Quantum Zeno and anti-Zeno effects in open quantum systems
• Hidden PT Symmetry and quantization of coupled-oscillators model of QASER
• Open quantum systems with loss and gain
• Quantum Zeno suppression of dipole-dipole forces
• Equilibrium states in open quantum systems

Cited by in corpus (19)

• Emergence of PT-symmetry breaking in open quantum systems
• Quantum correlations in $\mathcal{P}\mathcal{T}$-symmetric systems
• Optomechanical dynamics in the $\mathcal{P}\mathcal{T}$- and broken-$\mathcal{P}\mathcal{T}$-symmetric regimes
• Impact of photon addition and subtraction on nonclassical and phase properties of a displaced Fock state
• Quantum Zeno effect in self-sustaining systems: suppressing phase diffusion via repeated measurements
• $\mathcal{P}\mathcal{T}$ symmetric evolution, coherence and violation of Leggett-Garg inequalities
• PT Symmetry, induced mechanical lasing and tunable force sensing in a coupled-mode optically levitated nanoparticle
• Optimal Measurement Protocols in Quantum Zeno Effect
• Nonclassicality in off-resonant Raman process
• Interplay between quantum Zeno and anti-Zeno effects in a non-degenerate hyper-Raman nonlinear optical coupler
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Hilbert space partitioning for non-Hermitian Hamiltonians: From off-resonance to Zeno subspaces
• Non-Hermitian quantum walks and non-Markovianity: the coin-position interaction
• Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems
• Quantifying quantum correlation of quasi-Werner state and probing its suitability for quantum teleportation
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system
• Are optical quantum information processing experiments possible without beamsplitter?
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets