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.

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 coupled cavities with gain and loss. Specific focus is given on Zeno and anti-Zeno effect

References in corpus (19)

• Making Sense of Non-Hermitian Hamiltonians
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• PT-Symmetric Phonon Laser
• Protecting entanglement via the quantum Zeno effect
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• Thermodynamical Control by Frequent Quantum Measurements
• PT-Symmetric Wave Chaos
• Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
• Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
• Zeno and anti-Zeno effects for quantum Brownian motion
• Resonances in open quantum systems
• PT-symmetric quantum field theory in D dimensions
• Parrondo's game using a discrete-time quantum walk
• Lower- and higher-order nonclassical properties of photon added and subtracted displaced Fock states
• Experimental quantum Zeno effect in NMR with entanglement-based measurement
• Quantum interference and exceptional points
• Quantum Zeno and anti-Zeno effects in open quantum systems
• Open quantum systems with loss and gain

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