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.
18 pages, 9 figures
References in corpus (57)
- Many-Body Physics with Ultracold Gases
- Making Sense of Non-Hermitian Hamiltonians
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- The physics of exceptional points
- 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
- Heavy Fermions and Quantum Phase Transitions
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Non-Hermitian Topological Sensors
- Dissipative Phase Transition in Central Spin Systems
- Engineered Dissipation for Quantum Information Science
- 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
- 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
- Chiral Coherent Perfect Absorption on Exceptional Surfaces
- Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
- Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
- 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
- Liouvillian Skin Effect in an Exactly Solvable Model
- 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
- 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
- Fundamentals of Quantum Mechanics in Liouville Space
- Non-Hermitian skin effect as an impurity problem
- 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
- 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
- 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
Cited by in corpus (10)
- Multifractality of many-body non-Hermitian skin effect
- Expedited thermalization dynamics in incommensurate systems
- Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
- Delocalization of skin steady states
- 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