A non-Hermitian Hamilton operator and the physics of open quantum systems
From MaRDI portal
Publication:3624325
DOI10.1088/1751-8113/42/15/153001zbMath1162.81398OpenAlexW2088480740MaRDI QIDQ3624325
Publication date: 29 April 2009
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/42/15/153001
Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Quantum stochastic calculus (81S25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Related Items (69)
Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains ⋮ Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians ⋮ Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects ⋮ Loss, gain, and singular points in open quantum systems ⋮ Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities ⋮ Derivation of Liouville-like equations for the n-state probability density of an open system with thermalized particle reservoirs and its link to molecular simulation ⋮ Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations ⋮ Dynamics of algebras in quantum unstable systems ⋮ A Unifying E2-Quasi Exactly Solvable Model ⋮ Non-Hermitian Quantum Annealing and Superradiance ⋮ Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space ⋮ The connection between multiple prices of an option at a given time with single prices defined at different times: the concept of weak-value in quantum finance ⋮ Global modes in nonlinear non-normal evolutionary models: exact solutions, perturbation theory, direct numerical simulation, and chaos ⋮ Time-reversal symmetric resolution of unity without background integrals in open quantum systems ⋮ The distribution of overlaps between eigenvectors of Ginibre matrices ⋮ Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility ⋮ Particular spectral singularity in the continuum energies: a manifestation as resonances ⋮ Spectral singularity in composite systems and simulation of a resonant lasing cavity ⋮ Quantum mechanics with complex injecting potentials ⋮ Special modes induced by inter-chain coupling in a non-Hermitian ladder system ⋮ Quantum Fisher information of a two-level system controlled by non-Hermitian operation under depolarization ⋮ Topological Phase Transition of Non‐Hermitian Crosslinked Chain ⋮ Less interpretation and more decoherence in quantum gravity and inflationary cosmology ⋮ Life-times of quantum resonances through the geometrical phase propagator approach ⋮ Microwave experiments in the realm of fidelity ⋮ Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model ⋮ Average spectral density of multiparametric Gaussian ensembles of complex matrices ⋮ Commonality and difference in the eigenfunctions of various types of acoustic trapped modes ⋮ Multiply degenerate exceptional points and quantum phase transitions ⋮ Floquet exceptional points and chirality in non-Hermitian Hamiltonians ⋮ Open quantum systems with loss and gain ⋮ Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics ⋮ Invisible defects in complex crystals ⋮ Noise-assisted quantum electron transfer in photosynthetic complexes ⋮ ${ \mathcal P }{ \mathcal T }$-symmetry berry phases, topology and ${ \mathcal P }{ \mathcal T }$-symmetry breaking ⋮ Exceptional points for parameter estimation in open quantum systems: analysis of the Bloch equations ⋮ Damping of coupled harmonic oscillators ⋮ Topological states at exceptional points ⋮ Ring-frustrated non-Hermitian \(XY\) model ⋮ Quantum entropy of systems described by non-Hermitian Hamiltonians ⋮ Delocalization properties at isolated avoided crossings in Lipkin–Meshkov–Glick type Hamiltonian models ⋮ Possible role of interference, protein noise, and sink effects in nonphotochemical quenching in photosynthetic complexes ⋮ Irreversibility and the breaking of resonance-antiresonance symmetry ⋮ On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry ⋮ Passage through exceptional point: case study ⋮ Uncertainty relations with the generalized Wigner-Yanase-Dyson skew information ⋮ Enhancing and protecting quantum correlations of a two-qubit entangled system via non-Hermitian operation ⋮ Resonance trapping and dynamical phase transitions ⋮ Resonant-state expansion of the Green's function of open quantum systems ⋮ Effective non-Hermitian Hamiltonians for studying resonance statistics in open disordered systems ⋮ Cryptohermitian Hamiltonians on graphs. II: Hermitizations ⋮ NON-HERMITIAN DESCRIPTION OF A SUPERCONDUCTING PHASE QUBIT MEASUREMENT ⋮ Non-Hermitian approach for modeling of noise-assisted quantum electron transfer in photosynthetic complexes ⋮ Smeared quantum lattices exhibiting 𝒫𝒯-symmetry with positive 𝒫 ⋮ Braid operation of exceptional points ⋮ Exceptional points for logic operations at the molecular level ⋮ Dynamical stabilization and time in open quantum systems ⋮ Avoided level crossings in open quantum systems ⋮ Exceptional and diabolical points in stability questions ⋮ Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states ⋮ Microwave experiments using open chaotic cavities in the realm of the effective Hamiltonian formalism ⋮ The duality between a non-Hermitian two-state quantum system and a massless charged particle ⋮ Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study ⋮ NON-HERMITIAN QUANTUM DYNAMICS OF A TWO-LEVEL SYSTEM AND MODELS OF DISSIPATIVE ENVIRONMENTS ⋮ Non-Hermitian extensions of uncertainty relations with generalized metric adjusted skew information ⋮ State conversions around exceptional points ⋮ PT symmetric evolution, coherence and violation of Leggett–Garg inequalities ⋮ Regularization of energy-dependent pointlike interactions in 1D quantum mechanics ⋮ Natural light harvesting systems: unraveling the quantum puzzles
This page was built for publication: A non-Hermitian Hamilton operator and the physics of open quantum systems
