Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
arXiv:2310.18259 · doi:10.1103/PhysRevResearch.6.023135
Abstract
In this paper, we present a concrete example that highlights how predictions in non-Hermitian quantum mechanics can be inaccurately influenced by the absence of environment-induced fluctuations in the model. Specifically, we investigate the non-Hermitian skin effect and sensor in the Hatano-Nelson model, contrasting it with a more precise Lindblad description. Our analysis reveals that these phenomena can undergo breakdown when environmental fluctuations come to the forefront, resulting in a non-equilibrium phase transition from a localized skin phase to a delocalized phase. Beyond this specific case study, we engage in a broader discussion regarding the interpretations and implications of non-Hermitian quantum mechanics. This examination serves to broaden our understanding of these phenomena and their potential consequences.
arXiv comment18 pages, 9 figures
References in corpus (102)
- Many-Body Physics with Ultracold Gases
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Edge states and topological invariants of non-Hermitian systems
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Complex Extension of Quantum Mechanics
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Localization transitions in non-Hermitian quantum mechanics
- The physics of exceptional points
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Topological Origin of Non-Hermitian Skin Effects
- An Open-System Quantum Simulator with Trapped Ions
- Quantum trajectories and open many-body quantum systems
- Open Quantum Systems. An Introduction
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Heavy Fermions and Quantum Phase Transitions
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- Topology by Dissipation in Atomic Quantum Wires
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Biorthogonal Quantum Mechanics
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Symmetries and conserved quantities in Lindblad master equations
- Non-Hermitian Topological Sensors
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Spectral theory of Liouvillians for dissipative phase transitions
- Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
- Must a Hamiltonian be Hermitian?
- Dissipation and Ultrastrong Coupling in Circuit QED
- Dissipative Phase Transition in Central Spin Systems
- Non-stationary coherent quantum many-body dynamics through dissipation
- Boundary time crystals
- Non-Hermitian Delocalization and Eigenfunctions
- Quantum Noise Theory of Exceptional Point Sensors
- Topology by dissipation
- Entanglement in the Dicke model
- Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
- Engineered Dissipation for Quantum Information Science
- Pseudo-Hermiticity and Generalized PT- and CPT-Symmetries
- Quantum simulation of open-system dynamical maps with trapped ions
- Probing a dissipative phase transition via dynamical optical hysteresis
- Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
- Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
- Adiabatic Quantum Computation in Open Systems
- Non-equilibrium steady-states in a driven-dissipative superfluid
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Experimental multiparticle entanglement dynamics induced by decoherence
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Critical dynamical properties of a first-order dissipative phase transition
- Dissipation induced Tonks-Girardeau gas in an optical lattice
- Unconditional preparation of entanglement between atoms in cascaded optical cavities
- Local PT symmetry violates the no-signaling principle
- Chiral Coherent Perfect Absorption on Exceptional Surfaces
- Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
- Emergent equilibrium in many-body optical bistability
- Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Non-Hermitian Hamiltonians and no-go theorems in quantum information
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Helical damping and anomalous critical non-Hermitian skin effect
- Non-equilibrium stationary states of quantum non-Hermitian lattice models
- Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
- Resolving Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems
- Increase of entanglement by local PT -symmetric operations
- Optical pumping into many-body entanglement
- Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
- Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation
- Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
- Liouvillian Skin Effect in an Exactly Solvable Model
- Dissipation driven quantum phase transitions and symmetry breaking
- Consistency of PT-symmetric quantum mechanics
- Closed form solution of Lindblad master equations without gain
- Comparison and unification of non-Hermitian and Lindblad approaches with applications to open quantum optical systems
- Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
- On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
- Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
- Fundamental limits for reciprocal and non-reciprocal non-Hermitian quantum sensing
- Collective phases of strongly interacting cavity photons
- Fundamentals of Quantum Mechanics in Liouville Space
- Non-Hermitian skin effect as an impurity problem
- Topological phases of quantized light
- Rényi entropies and negative central charges in non-Hermitian quantum systems
- Sensitivity of non-Hermitian systems
- Symmetry-resolved entanglement in critical non-Hermitian systems
- Observation of the Sign Reversal of the Magnetic Correlation in a Driven-Dissipative Fermi Gas in Double Wells
- Dissipative dynamics of atomic Hubbard models coupled to a phonon bath: Dark state cooling of atoms within a Bloch band of an optical lattice
- Optical bistability in strong-coupling cavity QED with a few atoms
- Effect of quantum jumps on non-Hermitian system
- Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
- Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof
- Interplay between coherent and dissipative dynamics of bosonic doublons in an optical lattice
- A view on the open STIRAP problem
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- Driven-dissipative control of cold atoms in tilted optical lattices
- Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
- Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
- Exceptional points and exponential sensitivity for periodically driven Lindblad equations
- Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
- Göran Lindblad in memoriam
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- Multifractality of many-body non-Hermitian skin effect
- Expedited thermalization dynamics in incommensurate systems
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- Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
- Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
- Limits of the non-Hermitian description of decay models
- Liouville Fock state lattices and potential simulators
- Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
- Variational Quantum Algorithm for Solving the Liouvillian Gap