Exceptional point induced lasing dynamics in a non-Hermitian system
arXiv:1808.07205 · doi:10.1103/PhysRevA.99.042111
Abstract
Non-Hermitian systems exhibit many peculiar dynamic behaviors which never showed up in Hermitian systems. The existence of spectral singularity (SS) for a non-Hermitian scattering center provides a lasing mechanism in the context of quantum mechanics. In this paper we show exactly that a finite system at exceptional point (EP) can also provide an alternative laser solution. We investigate the dynamics of non-Hermitian Su-Schrieffer-Heeger (SSH) model around EP, based on the analysis of parity-time (PT ) and chiral-time (CT ) symmetries of the Hamiltonian. In contrast to the SS lasing mechanism for an infinite system, such an SSH chain acts as an active laser medium at threshold, within which a stationary particle emission can be fired anywhere, rather than a specific location at the non-Hermitian scattering center only. In addition, some relevant peculiar phenomena arising from interference between wave packets are revealed based on the analytical solutions.
arXiv comment9 pages, 7 figures
References in corpus (45)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Complex Extension of Quantum Mechanics
- Topological phases of non-Hermitian systems
- The physics of exceptional points
- PT-Symmetric Quantum Mechanics
- Anomalous edge state in a non-Hermitian lattice
- Topological energy transfer in an optomechanical system with exceptional points
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- PT-Symmetric Phonon Laser
- Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
- Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
- Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
- Second-Order Topological Phases in Non-Hermitian Systems
- Anti-Parity-Time Symmetric Optics via Flying Atoms
- Exact PT-Symmetry Is Equivalent to Hermiticity
- Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
- Supersymmetry and the spontaneous breakdown of PT symmetry
- Inverse design of third-order Dirac exceptional points in photonic crystals
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Spectral singularities and Bragg scattering in complex crystals
- On Pseudo-Hermitian Hamiltonians and Their Hermitian Counterparts
- Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
- Topological non-Hermitian origin of surface Maxwell waves
- Exceptional Points in Random-Defect Phonon Lasers
- Optical Spectral Singularities as Threshold Resonances
- Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
- Zero width resonance (spectral singularity) in a complex PT-symmetric potential
- Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
- Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
- Characterization of topological phase transitions via topological properties of transition points
- Gegenbauer-solvable quantum chain model
- Perfect State Transfer in PT-symmetric Non-Hermitian Networks
- Discrete PT-symmetric models of scattering
- Optomechanical transistor with mechanical gain
- Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations
- Fingerprints of exceptional points in the survival probability of resonances in atomic spectra
- Spectral singularities for Non-Hermitian one-dimensional Hamiltonians: puzzles with resolution of identity
- Probability-preserving evolution in a non-Hermitian two-band model
- Non-Hermitian interferometer: Unidirectional amplification without distortion
- Simple harmonic oscillation in non-Hermitian SSH chain at exceptional point
- Dynamical signature of moire pattern in non-Hermitian ladder
- Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
- Parallel dynamics between non-Hermitian and Hermitian systems
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- Resonant generation of -wave Cooper pair in non-Hermitian Kitaev chain at exceptional point
- Quantum transport in non-Hermitian impurity array
- Exceptional points and scattering of discrete mechanical metamaterials
- An unusual phase transition in a non-Hermitian Su-Schrieffer-Heeger model
- Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
- Dissipation-induced bound states as a two-level system