Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems

Abstract

Recently, it has become clear that non-hermitian phenomena can be observed not only in open quantum systems experiencing gain and loss but also in equilibrium single-particle properties of strongly correlated systems. However, the circumstances and requirements for the emergence of non-hermitian phenomena in each field are entirely different. While the implementation of postselection is a significant obstacle to observe non-hermitian phenomena in open quantum systems, it is unnecessary in strongly correlated systems. Until now, a relation between both descriptions of non-hermitian phenomena has not been revealed. In this paper, we close this gap and demonstrate that the non-hermitian Hamiltonians emerging in both fields are identical, and we clarify the conditions for the emergence of a non-hermitian Hamiltonian in strongly correlated materials. Using this knowledge, we propose a method to analyze non-hermitian properties without the necessity of postselection by studying specific response functions of open quantum systems and strongly correlated systems.

arXiv comment5 pages, 3 figures, 6 pages for supplemental materials

References in corpus (38)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Edge states and topological invariants of non-Hermitian systems
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• The numerical renormalization group method for quantum impurity systems
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Anomalous edge state in a non-Hermitian lattice
• Topological energy transfer in an optomechanical system with exceptional points
• Non-Hermitian Chern bands
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Pump-induced Exceptional Points in Lasers
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
• Parity-time-symmetric quantum critical phenomena
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Majorana bound states from exceptional points in non-topological superconductors
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Heralded magnetism in non-Hermitian atomic systems
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Non-Hermitian topology of spontaneous magnon decay
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Real and imaginary energy gaps: a comparison between single excitation Superradiance and Superconductivity and robustness to disorder

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• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Exceptional points in the one-dimensional Hubbard model
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Topological enhancement of non-normality in non-Hermitian skin effects
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Non-Hermitian Topology in Hermitian Topological Matter
• Damping transition in an open generalized Aubry-André-Harper model
• Probing two-body exceptional points in open dissipative systems
• Exceptional points in Fermi liquids with quadrupolar interactions
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Optical response of a dual membrane active-passive optomechanical cavity
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• Magnetic Flux Response of Non-Hermitian Topological Phases
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• Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Simulating the non-Hermitian dynamics of financial option pricing with quantum computers
• Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
• Entanglement between uncoupled modes with time-dependent complex frequencies
• Non-Hermitian chiral anomalies in interacting systems
• Non-Hermitian tearing by dissipation
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Evanescent Wave Approximation for Non-Hermitian Hamiltonians
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Possible implications for particle physics by quantum measurement
• Physical constraints on effective non-Hermitian systems
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Non-Hermitian topology in molecules: Prediction of fractional quantum number