Hidden PT Symmetry and quantization of coupled-oscillators model of QASER

Abstract

Using Maxwell-Bloch equations it has been shown how the superradiance can lead to amplification and gain at a frequency much larger than the pumping frequency. This remarkable effect has been examined in terms of a simpler model involving two coupled oscillators with one of them paramet- rically driven. We show that this coupled oscillator model has a hidden parity-time (PT) symmetry for QASER, we thus bring PT symmetry to the realm of parametrically coupled resonators. More- over, we find that the QASER gain arises from the broken PT symmetry phase. We then quantize the simplified version of the QASER using quantum Langevin equations. The quantum description enables us to understand how the system starts from quantum fluctuations.

References in corpus (15)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Pseudo-Hermitian Representation of Quantum Mechanics
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Quantum noise and self-sustained radiation of PT-symmetric systems
• Mechanical PT symmetry in coupled optomechanical systems
• Time-dependent version of cryptohermitian quantum theory
• Time Dependent $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Spontaneous Generation of Photons in Transmission of Quantum Fields in PT Symmetric Optical Systems
• Consistency of PT-symmetric quantum mechanics
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• Jarzynski equality in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Generation of families of spectra in PT-symmetric quantum mechanics and scalar bosonic field theory

Cited by in corpus (8)

• Parity-time symmetry in optical microcavity systems
• Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
• $\mathcal{P}\mathcal{T}$ symmetric evolution, coherence and violation of Leggett-Garg inequalities
• Motion of a parametrically driven damped coplanar double pendulum
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Non-Hermitian quantum walks and non-Markovianity: the coin-position interaction
• Zero-Threshold PT-Symmetric Polariton-Raman Laser
• Lüders bounds of Leggett-Garg inequalities, $\mathcal{P}\mathcal{T}$- symmetric evolution and arrow-of-time