Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
arXiv:2108.06784 · doi:10.1103/PhysRevLett.128.190402
Abstract
The dynamical signatures of quantum chaos in an isolated system are captured by the spectral form factor, which exhibits as a function of time a dip, a ramp, and a plateau, with the ramp being governed by the correlations in the level spacing distribution. While decoherence generally suppresses these dynamical signatures, the nonlinear non-Hermitian evolution with balanced gain and loss (BGL) in an energy-dephasing scenario can enhance manifestations of quantum chaos. In the Sachdev-Ye-Kitaev model and random matrix Hamiltonians, BGL increases the span of the ramp, lowering the dip as well as the value of the plateau, providing an experimentally realizable physical mechanism for spectral filtering. The chaos enhancement due to BGL is optimal over a family of filter functions that can be engineered with fluctuating Hamiltonians.
arXiv comment6+5 pages, 2+5 figures
References in corpus (68)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Decoherence, einselection, and the quantum origins of the classical
- Making Sense of Non-Hermitian Hamiltonians
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Random Matrix Theories in Quantum Physics: Common Concepts
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Non-Hermitian Physics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- Loss-induced suppression and revival of lasing
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Dynamical Reduction Models
- Dynamics of Loschmidt echoes and fidelity decay
- Black Holes and Random Matrices
- Quantum chaos challenges many-body localization
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
- Learning the quantum algorithm for state overlap
- Measuring the characteristic function of the work distribution
- Atomic quantum dots coupled to BEC reservoirs
- Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
- Observation of Lee-Yang zeros
- Decoherence and the Loschmidt echo
- Work measurement as a generalized quantum measurement
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Mixed-state evolution in the presence of gain and loss
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Onset of Random Matrix Behavior in Scrambling Systems
- Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
- Information Scrambling and Loschmidt Echo
- Digital Quantum Simulation of Minimal AdS/CFT
- Thouless and relaxation time scales in many-body quantum systems
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Scrambling the spectral form factor: unitarity constraints and exact results
- Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
- Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas
- Universal spectra of random Lindblad operators
- Probing Lee-Yang zeros and coherence sudden death
- Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
- Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
- 2D CFT Partition Functions at Late Times
- Hierarchy of relaxation timescales in local random Liouvillians
- Information Scrambling and Chaos in Open Quantum Systems
- Spectral gaps and mid-gap states in random quantum master equations
- Thermofield dynamics: Quantum Chaos versus Decoherence
- Quantum Simulation of the Sachdev-Ye-Kitaev Model by Asymmetric Qubitization
- Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
- Random Lindblad Dynamics
- Extreme Decoherence and Quantum Chaos
- The Quantum Emergence of Chaos
- Phase transitions in the complex plane of physical parameters
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
- Information scrambling vs. decoherence -- two competing sinks for entropy
- Quantum work statistics, Loschmidt echo and information scrambling
- Observing crossover between quantum speed limits
- Spectral transitions and universal steady states in random Kraus maps and circuits
- Non-destructive selective probing of phononic excitations in a cold Bose gas using impurities
- Quantum coherence as a signature of chaos
- Nondestructive Probing of Means, Variances, and Correlations of Ultracold-Atomic-System Densities via Qubit Impurities
- Quantum evolution according to real clocks
- Decoherence in Conformal Field Theory
- Probing the Full Distribution of Many-Body Observables by Single-Qubit Interferometry
- Weisskopf-Wigner Decay Theory for the Energy-Driven Stochastic Schrödinger Equation
- Generic appearance of objective results in quantum measurements
- Quantum to classical transition in the work distribution for chaotic systems
- Quantum work for sudden quenches in Gaussian random Hamiltonians
- Evaporative cooling and self-thermalization in an open system of interacting fermions
Cited by in corpus (43)
- Operator growth and Krylov construction in dissipative open quantum systems
- Quantum Dynamics in Krylov Space: Methods and Applications
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Lindbladian dissipation of strongly-correlated quantum matter
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
- Many-body quantum chaos and emergence of Ginibre ensemble
- Dynamical quantum phase transitions in SYK Lindbladians
- Many-body quantum chaos in stroboscopically-driven cold atoms
- Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
- Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
- Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
- Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
- Unitarity breaking in self-averaging spectral form factors
- Proposal for many-body quantum chaos detection
- Robustness of quantum chaos and anomalous relaxation in open quantum circuits
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Field theory of non-Hermitian disordered systems
- Probing quantum chaos in multipartite systems
- Exact universal bounds on quantum dynamics and fast scrambling
- Quantum Chaos and Coherence: Random Parametric Quantum Channels
- Pointer states and quantum Darwinism with 2-body interactions
- Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
- Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Information scrambling -- a quantum thermodynamic perspective
- Universal Properties of the Spectral Form Factor in Open Quantum Systems
- Decoherence rate in random Lindblad dynamics
- Reducing dynamical fluctuations and enforcing self-averaging by opening many-body quantum systems
- Theory of Irreversibility in Quantum Many-Body Systems
- Analyticity constraints bound the decay of the spectral form factor
- Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
- A geometrical description of non-Hermitian dynamics: speed limits in finite rank density operators
- Non-Markovian environment induced chaos in optomechanical system
- Transport and integrability-breaking in non-Hermitian many-body quantum systems
- deformation on non-Hermitian two coupled SYK model
- Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
- Krylov Complexity Under Hamiltonian Deformations and Toda Flows
- Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
- Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems
- Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI and AII