Minimal Model for Fast Scrambling
arXiv:2005.05362 · doi:10.1103/PhysRevLett.125.130601
Abstract
We study quantum information scrambling in spin models with both long-range all-to-all and short-range interactions. We argue that a simple global, spatially homogeneous interaction together with local chaotic dynamics is sufficient to give rise to fast scrambling, which describes the spread of quantum information over the entire system in a time that is logarithmic in the system size. This is illustrated in two tractable models: (1) a random circuit with Haar random local unitaries and a global interaction and (2) a classical model of globally coupled non-linear oscillators. We use exact numerics to provide further evidence by studying the time evolution of an out-of-time-order correlator and entanglement entropy in spin chains of intermediate sizes. Our results pave the way towards experimental investigations of fast scrambling and aspects of quantum gravity with quantum simulators.
5+11 pages, 5+1 figures. Close to published
References in corpus (62)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Black holes and the butterfly effect
- Coupling Superconducting Qubits via a Cavity Bus
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Operator Spreading in Random Unitary Circuits
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Implementation of Cavity Squeezing of a Collective Atomic Spin
- Measuring the scrambling of quantum information
- Towards the fast scrambling conjecture
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- Verified Quantum Information Scrambling
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
- Exploring Localization in Nuclear Spin Chains
- Quantum Information Scrambling in a Superconducting Qutrit Processor
- Collective many-body interaction in Rydberg dressed atoms
- Dicke quantum spin glass of atoms and photons
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Frustration and glassiness in spin models with cavity-mediated interactions
- Squeezing the Collective Spin of a Dilute Atomic Ensemble by Cavity Feedback
- Information propagation in isolated quantum systems
- Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
- Information Scrambling and Loschmidt Echo
- Measurement of many-body chaos using a quantum clock
- Dicke time crystals in driven-dissipative quantum many-body systems
- Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble
- Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
- Quantum butterfly effect in weakly interacting diffusive metals
- Quantum holography in a graphene flake with an irregular boundary
- Locality, Quantum Fluctuations, and Scrambling
- Accessing scrambling using matrix product operators
- Entangling atoms in bad cavities
- Treelike interactions and fast scrambling with cold atoms
- Exact convergence times for generation of random bipartite entanglement
- Emergence of typical entanglement in two-party random processes
- Operator Dynamics in Brownian Quantum Circuit
- Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
- Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
- Spectroscopy and Thermometry of Drumhead Modes in a Mesoscopic Trapped-Ion Crystal using Entanglement
- Driven-dissipative dynamics of a strongly interacting Rydberg gas
- Temperature dependence of butterfly effect in a classical many-body system
- Generalised Dicke non-equilibrium dynamics in trapped ions
- A quantum annealer with fully programmable all-to-all coupling via Floquet engineering
- A cavity-QED simulator of slow and fast scrambling
- Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
- Chaos in a classical limit of the Sachdev-Ye-Kitaev model
- Fast scrambling without appealing to holographic duality
- Phonon mediated quantum spin simulator employing a planar ionic crystal in a Penning trap
- Bound on quantum scrambling with all-to-all interactions
- Quantum-optical magnets with competing short- and long-range interactions: Rydberg-dressed spin lattice in an optical cavity
- Matrix integrals over unitary groups: An application of Schur-Weyl duality
- Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
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- Programmable Interactions and Emergent Geometry in an Atomic Array
- Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
- Barren plateaus preclude learning scramblers
- Out-of-distribution generalization for learning quantum dynamics
- Emergent dark states from superradiant dynamics in multilevel atoms in a cavity
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Speed limits and locality in many-body quantum dynamics
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Resource theory of quantum scrambling
- Generative quantum machine learning via denoising diffusion probabilistic models
- Quantum scrambling with classical shadows
- Quantum operator growth bounds for kicked tops and semiclassical spin chains
- Fastest local entanglement scrambler, multistage thermalization, and a non-Hermitian phantom
- Fast scrambling without appealing to holographic duality
- Quantum State Complexity in Computationally Tractable Quantum Circuits
- Bound on quantum scrambling with all-to-all interactions
- Dynamical scaling of correlations generated by short- and long-range dissipation
- Measurement-induced phase transitions in sparse nonlocal scramblers
- Benchmarking Information Scrambling
- Fast long-distance transport of cold cesium atoms
- Optimal Frobenius light cone in spin chains with power-law interactions
- Classically estimating observables of noiseless quantum circuits
- Deterministic Fast Scrambling with Neutral Atom Arrays
- High finesse bow-tie cavity for strong atom-photon coupling in Rydberg arrays
- Operator growth and spread complexity in open quantum systems
- Krylov complexity for non-local spin chains
- The Timescales of Quantum Breaking
- Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
- Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors
- Speeding up the spread of quantum information in chaotic systems
- Quantum simulation of operator spreading in the chaotic Ising model
- Operator growth bounds in a cartoon matrix model
- Information scrambling -- a quantum thermodynamic perspective
- Information propagation in one-dimensional XY- chains
- The black hole information puzzle and the quantum de Finetti theorem
- Spread complexity and quantum chaos for periodically driven spin chains
- Bilayer crystals of trapped ions for quantum information processing
- Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuit
- Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
- Photon-mediated correlated hopping in a synthetic ladder
- Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
- Scaling at the OTOC Wavefront: free versus chaotic models
- Onset of scrambling as a dynamical transition in tunable-range quantum circuits
- Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
- Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
- Tunable Geometries in Sparse Clifford Circuits
- Quantum chaos in PT symmetric quantum systems
- Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
- Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature
- Scaling Laws of Quantum Information Lifetime in Monitored Quantum Dynamics
- Topological bands in the continuum using Rydberg states