-symmetric photonic quantum systems with gain and loss do not exist
@article{Scheel2018symmetricPQ, title={-symmetric photonic quantum systems with gain and loss do not exist}, author={S. Scheel and Alexander Szameit}, journal={Europhysics Letters}, year={2018}, volume={122} }
We discuss the impact of gain and loss on the evolution of photonic quantum states and find that -symmetric quantum optics in gain/loss systems is not possible. Within the framework of macroscopic quantum electrodynamics we show that gain and loss are associated with non-compact and compact operator transformations, respectively. This implies a fundamentally different way in which quantum correlations between a quantum system and a reservoir are built up and destroyed.
53 Citations
Measurement of photon correlations in PT-symmetric systems
- Physics2019 Conference on Lasers and Electro-Optics (CLEO)
- 2019
We investigate quantum interference in a PT -symmetric system by measuring a Hong-Ou-Mandel-Dip in waveguide couplers. The nontrivial loss distribution giving rise to PT-symmetry systematically…
Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity
- PhysicsSymmetry
- 2019
Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear…
Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms.
- PhysicsPhysical review letters
- 2019
It is observed that the pair of frequency modes undergo a nontrivial anti-PT phase transition between coherent power oscillation and optical parametric amplification in presence of a large phase mismatch.
Passive PT -symmetric Floquet coupler
- Physics
- 2021
Based on a Liouville-space formulation of open systems, we present a solution to the quantum master equation of two coupled optical waveguides with varying loss. The periodic modulation of the…
Quantum correlations in PT -symmetric systems
- Physics
- 2020
We study the dynamics of correlations in a paradigmatic setup to observe PT -symmetric physics: a pair of coupled oscillators, one subject to a gain one to a loss. Starting from a coherent state,…
Observation of PT-symmetric quantum interference
- PhysicsNature Photonics
- 2019
A common wisdom in quantum mechanics is that the Hamiltonian has to be Hermitian in order to ensure a real eigenvalue spectrum. Yet, parity–time (PT)-symmetric Hamiltonians are sufficient for real…
Quantum description of a PT-symmetric nonlinear directional coupler
- PhysicsJournal of the Optical Society of America B
- 2019
We treat a PT-symmetric directional coupler with Kerr nonlinearity in both the single-mode waveguides. We investigate the quantum propagation of a coherent state through this device and simplify the…
Virtual Parity-Time Symmetry.
- PhysicsPhysical review letters
- 2020
This work implements PT symmetry in the complex-frequency plane and realizes its landmark effects, such as broken phase transitions, anisotropic transmission resonances, and laser-absorber pairs, in a fully passive system, opening a path to establish PT symmetry and non-Hermitian physics in passive platforms.
Effects of Non-Hermitian Bilayer Medium on the Second-Order Coherence of the Transmitted Coherent and Number States
- PhysicsInternational Journal of Optics and Photonics
- 2021
A BSTRACT — We investigate the propagation of the normal two-photon number state and coherent state of light through a dispersive non-Hermitian bilayer structure composed of gain and loss layers,…
Optical Energy-difference Conservation in a Synthetic Anti-PT Symmetric System
- Physics2022 Conference on Lasers and Electro-Optics (CLEO)
- 2022
This work creates an optical APT-symmetric system in a synthetic frequency domain using a conventional fiber without intrinsic gain or loss and experimentally reveals photonic APTs, including energy-difference conservation and synchronized power oscillation, which have not yet been confirmed experimentally in the optical domain.
References
SHOWING 1-10 OF 31 REFERENCES
Spontaneous generation of photons in transmission of quantum fields inPT-symmetric optical systems
- Physics
- 2012
We develop a rigorous mathematically consistent description of PT symmetric optical systems by using second quantization. We demonstrate the possibility of significant spontaneous generation of…
Quantum noise and self-sustained radiation of PT-symmetric systems.
- PhysicsPhysical review letters
- 2010
This work shows that microreversibility-breaking quantum noise turns PT-symmetric systems into self-sustained sources of radiation, which distinguishes them from ordinary, Hermitian quantum systems.
Observation of PT-symmetry breaking in complex optical potentials.
- PhysicsPhysical review letters
- 2009
This work demonstrates experimentally passive PT-symmetry breaking within the realm of optics, which leads to a loss induced optical transparency in specially designed pseudo-Hermitian guiding potentials.
Beam dynamics in PT symmetric optical lattices.
- PhysicsPhysical review letters
- 2008
It is shown that PT periodic structures can exhibit unique characteristics stemming from the nonorthogonality of the associated Floquet-Bloch modes, including double refraction, power oscillations, and eigenfunction unfolding as well as nonreciprocal diffraction patterns.
Topologically protected bound states in photonic parity-time-symmetric crystals.
- PhysicsNature materials
- 2017
This work shows theoretically and experimentally the existence of states that are localized at the interface between two topologically distinct PT-symmetric photonic lattices, and finds analytical closed form solutions of topological PT-Symmetric interface states.
Parity–time synthetic photonic lattices
- PhysicsNature
- 2012
The experimental observation of light transport in large-scale temporal lattices that are parity–time symmetric is reported and it is demonstrated that periodic structures respecting this symmetry can act as unidirectional invisible media when operated near their exceptional points.
Entanglement transformation at absorbing and amplifying four-port devices
- Physics
- 2000
Abstract Quantum communication schemes widely use dielec-tric four-port devices as basic elements for construct-ing optical quantum channels. Since for causalityrea-sons the permittivity is…
Parity–time-symmetric whispering-gallery microcavities
- PhysicsNature Physics
- 2014
Optical systems combining balanced loss and gain provide a unique platform to implement classical analogues of quantum systems described by non-Hermitian parity–time (PT)-symmetric Hamiltonians. Such…
Quantum-state transformation by dispersive and absorbing four-port devices
- Physics
- 1999
The recently derived input-output relations for the radiation field at a dispersive and absorbing four-port device [T. Gruner and D.-G. Welsch, Phys. Rev. A 54, 1661 (1996)] are used to derive the…
Observation of parity–time symmetry in optics
- Physics
- 2010
One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical observables 1 . In the case of the Hamiltonian operator, this requirement not only implies real…