Parallel dynamics between non-Hermitian and Hermitian systems
arXiv:1704.04115 · doi:10.1103/PhysRevA.97.062101
Abstract
We study the connection between a family of non-Hermitian Hamiltonians H and Hermitian ones H based on exact solutions. In general, for a dynamic process in a non-Hermitian system H, there always exists a parallel dynamic process governed by the corresponding Hermitian conjugate Hamiltonian H†. We show that a linear superposition of the two parallel dynamics is exactly equivalent to the time evolution of a state under a Hermitian Hamiltonian H. It reveals a novel connection between non-Hermitian and Hermitian systems.
References in corpus (31)
- Topological Insulators
- Topological insulators and superconductors
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Berry Phase Effects on Electronic Properties
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Complex Extension of Quantum Mechanics
- PT-Symmetric Quantum Mechanics
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
- Selective enhancement of topologically induced interface states in a dielectric resonator chain
- The Zak phase and the existence of edge states in graphene
- Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
- Topological Transition in a Non-Hermitian Quantum Walk
- Exact PT-Symmetry Is Equivalent to Hermiticity
- Physical Aspects of Pseudo-Hermitian and -Symmetric Quantum Mechanics
- Supersymmetry and the spontaneous breakdown of PT symmetry
- Topological phases of generalized Su-Schrieffer-Heeger models
- Solutions of PT symmetric tight-binding chain and its equivalent Hermitian counterpart
- On Pseudo-Hermitian Hamiltonians and Their Hermitian Counterparts
- PT-Symmetric Cubic Anharmonic Oscillator as a Physical Model
- Symmetry protected topological phases in non-interacting fermion systems
- Metric Operator in Pseudo-Hermitian Quantum Mechanics and the Imaginary Cubic Potential
- Physics counterpart of the PT non-hermitian tight-binding chain
- Delta-Function Potential with a Complex Coupling
- 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
- Discrete PT-symmetric models of scattering
- A physical interpretation for the non-Hermitian Hamiltonian
- Partitioning technique for a discrete quantum system
- Long-range entangled zero-mode state in a non-Hermitian lattice