Quantum noise and self-sustained radiation of PT-symmetric systems

Abstract

The observation that PT-symmetric Hamiltonians can have real-valued energy levels even if they are non-Hermitian has triggered intense activities, with experiments, in particular, focusing on optical systems, where Hermiticity can be broken by absorption and amplification. For classical waves, absorption and amplification are related by time-reversal symmetry. 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.

4+1 pages (slightly expanded published version)

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Cited by in corpus (101)

• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• PT-symmetric laser-absorber
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Biorthogonal Quantum Mechanics
• Pump-induced Exceptional Points in Lasers
• Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
• Topologically protected midgap states in complex photonic lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• PT-Symmetric Electronics
• Observation of Defect States in PT-Symmetric Optical Lattices
• Antisymmetric PT-photonic structures with balanced positive and negative index materials
• PT-Symmetric Talbot Effects
• Observation of Fast Evolution in Parity-Time-Symmetric System
• Importance of electronic correlations for structural and magnetic properties of the iron pnictide superconductor LaFeAsO
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering
• Experimental realization of Floquet PT-symmetric systems
• Supersymmetry-generated complex optical potentials with real spectra
• Bypassing the bandwidth theorem with PT symmetry
• Unconventional modes in lasers with spatially varying gain and loss
• Virtual Parity-Time Symmetry
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Spontaneous Generation of Photons in Transmission of Quantum Fields in PT Symmetric Optical Systems
• Breaking of PT-symmetry in bounded and unbounded scattering systems
• $\mathcal{P}\mathcal{T}$-symmetric microring laser-absorber
• PT-symmetric photonic quantum systems with gain and loss do not exist
• PT-symmetric quantum Liouvillian dynamics
• PT-symmetry breaking in the steady state of microscopic gain-loss systems
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• Parity-time symmetry in optical microcavity systems
• Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Parity-time symmetry breaking in magnetic systems
• Emergence of PT-symmetry breaking in open quantum systems
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• Wave packet evolution in non-Hermitian quantum systems
• Gegenbauer-solvable quantum chain model
• Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation
• Transfer Matrices as Non-Unitary S-Matrices, Multimode Unidirectional Invisibility, and Perturbative Inverse Scattering
• Linear response theory of open systems with exceptional points
• Supersymmetry generated one-way invisible PT-symmetric optical crystals
• Convective and absolute PT symmetry breaking in tight-binding lattices
• 2D Solitons in PT-symmetric photonic lattices
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
• Perfect transmission scattering as a PT-symmetric spectral problem
• Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
• Flat band in two-dimensional non-Hermitian optical lattices
• PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
• $\mathcal{P}\mathcal{T}$-symmetry from Lindblad dynamics in an optomechanical system
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Quantum correlations in $\mathcal{P}\mathcal{T}$-symmetric systems
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
• An exactly solvable quantum-lattice model with a tunable degree of nonlocality
• Crypto-unitary forms of quantum evolution operators
• Quantum interference and exceptional points
• Scattering properties of PT-symmetric objects
• Quantum statistical signature of $\mathcal{P}\mathcal{T}$ symmetry breaking
• Continuous-variable entanglement generated with a hybrid PT-symmetric system
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Spectral Singularity in confined PT symmetric optical potential
• Decays of degeneracies in PT-symmetric ring-shaped lattices
• Hidden PT Symmetry and quantization of coupled-oscillators model of QASER
• Random matrix ensembles for $PT$-symmetric systems
• Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding
• Conserved Correlation in PT -symmetric Systems: Scattering and Bound States
• Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
• Tachyonic Dispersion in Coherent Networks
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• PT-symmetric quantum systems with positive P
• Quantum Optics of Non-Hermitian Optical Systems: Propagation of Squeezed State of Light through Dispersive non-Hermitian Optical Bilayers
• Parity and Time Reversal Symmetry in Hanbury Brown-Twiss Effect
• Parity-Time Synthetic Laser
• Non-hermitian model for resonant cavities coupled by a chiral mirror
• Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential
• Time-reversal invariant scaling of light propagation in one-dimensional non-Hermitian systems
• Non-Hermitian engineering for brighter broadband pseudothermal light
• Chiral-reversing vortex radiation from a single emitter by eigenstates phase locking
• Scattering in a varying mass PT symmetric double heterojunction
• Engineering wavefront caustics trajectories in $\mathcal{P}\mathcal{T}$-symmetric lattices
• S and Q Matrices Reloaded: applications to open, inhomogeneous, and complex cavities
• Non-Hermitian interaction of a discrete state with a continuum
• Purity oscillations in coupled Bose-Einstein condensates
• Synchronization in PT-symmetric optomechanical resonators
• Invisibility and PT Symmetry: A Simple Geometrical Viewpoint