Light-cone-like spreading of correlations in a quantum many-body system

Abstract

How fast can correlations spread in a quantum many-body system? Based on the seminal work by Lieb and Robinson, it has recently been shown that several interacting many-body systems exhibit an effective light cone that bounds the propagation speed of correlations. The existence of such a "speed of light" has profound implications for condensed matter physics and quantum information, but has never been observed experimentally. Here we report on the time-resolved detection of propagating correlations in an interacting quantum many-body system. By quenching a one-dimensional quantum gas in an optical lattice, we reveal how quasiparticle pairs transport correlations with a finite velocity across the system, resulting in an effective light cone for the quantum dynamics. Our results open important perspectives for understanding relaxation of closed quantum systems far from equilibrium as well as for engineering efficient quantum channels necessary for fast quantum computations.

7 pages, 5 figures, 2 tables

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• Fluctuations of subsystem entropies at late times
• Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Postquench prethermalization in a disordered quantum fluid of light
• Propagation of a single hole defect in the one-dimensional Bose-Hubbard model
• Semiclassical excited-state signatures of quantum phase transitions in spin chains with variable-range interactions
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• Forecasting long-time dynamics in quantum many-body systems by dynamic mode decomposition
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• Erasure tolerant quantum memory and the quantum null energy condition in holographic systems
• Phase-induced transport in atomic gases: from superfluid to Mott insulator
• Response functions after a quantum quench
• Relaxation and entropy generation after quenching quantum spin chains
• Recovering quantum correlations in optical lattices from interaction quenches
• Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
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• Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
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• Efficient variational approach to dynamics of a spatially extended bosonic Kondo model
• Equilibration of quantum hard rods in one dimension
• Hydrodynamics of massless integrable RG flows and a non-equilibrium c-theorem
• A superheated Bose-condensed gas
• Topological phase transition in the quench dynamics of a one-dimensional Fermi gas
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Dynamics of fluctuation correlation in periodically driven classical system
• Variational study of polarons and bipolarons in a 1D Bose lattice gas in both superfluid and Mott regimes
• Entanglement front generated by an impurity travelling in an isolated many-body quantum system
• Boundary Chaos
• Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
• Towards experimental tests and applications of Lieb-Robinson bounds
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Lieb-Robinson bounds on $n$-partite connected correlation functions
• Number Fluctuations of a Dipolar Condensate: Anisotropy and Slow Approach to the Thermodynamic Regime
• Slow relaxation of out-of-time-ordered correlators in interacting integrable and nonintegrable spin-1/2 XYZ chains
• Evolution of Coherence During Ramps Across the Mott-Superfluid Phase Boundary
• Relaxation dynamics of an isolated large-spin Fermi gas far from equilibrium
• Quantum non-equilibrium dynamics of Rydberg gases in the presence of dephasing noise of different strengths
• Floquet-engineered light-cone spreading of correlations in a driven quantum chain
• Fractional domain walls from on-site softening in dipolar bosons
• Cluster expansion for ground states of local Hamiltonians
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Thermalization of strongly interacting bosons after spontaneous emissions in optical lattices
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Superexchange Liquefaction of Strongly Correlated Lattice Dipolar Bosons
• Quantum speed limit of Jaynes-Cummings model with detuning for arbitrary initial states
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity
• Eigenstate Fluctuation Theorem in the Short and Long Time Regimes
• Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations
• Power-law decay of correlations after a global quench in the massive XXZ chain
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Quasi-particle interactions in frustrated Heisenberg chains
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Entanglement in interacting quenched two-body coupled oscillator system
• Dipoles on a Two-leg Ladder
• Probing dynamical criticality near quantum phase transitions
• Maximal Speed of Propagation in Open Quantum Systems
• Quench-induced delocalization
• Experimental tests of Lieb-Robinson bounds
• Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the $SU(2)$ Hubbard model with a localized loss
• Correlation evolution in dilute Bose-Einstein condensates after quantum quenches
• Phase-space representations of thermal Bose-Einstein condensates
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Asymptotically Decreasing Lieb-Robinson Velocity for a Class of Dissipative Quantum Dynamics
• Photon-mediated correlated hopping in a synthetic ladder
• Spreading of correlations and Loschmidt echo after quantum quenches of a Bose gas in the Aubry-André potential
• Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Quench dynamics of a disordered array of dissipative coupled cavities
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
• Quench between a Mott insulator and a Lieb-Liniger liquid
• Detecting Friedel oscillations in ultracold Fermi gases
• The large coordination number expansion of a lattice Bose gas at finite temperature
• Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions
• Scaling at the OTOC Wavefront: free versus chaotic models
• Fractional resonances and prethermal states in Floquet systems
• Hierarchy of double-time correlations
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Phases of d-orbital bosons in optical lattices
• Splitting a critical spin chain
• Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Constraints on correlations in multiqubit systems
• Entanglement and entropy production in coupled single-mode Bose-Einstein condensates
• Geometric representation of spin correlations and applications to ultracold systems
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Quantum heat waves in a one-dimensional condensate
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• A ship-in-a-bottle quantum gas microscope setup for magnetic mixtures
• Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
• Interaction-Tuned Dynamical Transitions in a Rashba Spin-Orbit Coupled Fermi Gas
• Quench Induced Growth of Distant Entanglement from Product and Locally Entangled States in Spin Chains
• Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
• Efficiency of fermionic quantum distillation
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Fluctuations of spinor Bose-Einstein condensates
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• The relevant excitations for the one-body function in the Lieb-Liniger model
• Onset of scrambling as a dynamical transition in tunable-range quantum circuits
• Exact Correlation Functions for Dual-Unitary Quantum circuits with exceptional points
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
• Light-cone and local front dynamics of a single-particle extended quantum walk
• Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime
• Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
• Cyclotron dynamics of interacting bosons in artificial magnetic fields
• Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
• Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
• Escaping fronts in local quenches of a confining spin chain
• Loading and detecting a three-dimensional Fermi gas in one-dimensional optical superlattice
• Exotic Ising dynamics in a Bose-Hubbard model
• Emergent transport in a many-body open system driven by interacting quantum baths
• Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
• Spreading of correlations in a quenched repulsive and attractive one dimensional lattice system
• Static properties of two linearly coupled discrete circuits
• Relaxation exponents of OTOCs and overlap with local Hamiltonians
• Post quench entropy growth in a chiral clock model
• Two-dimensional correlation propagation dynamics with a cluster discrete phase-space method
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Dynamics of fluctuations in a quantum system
• Study of Open Systems with Molecules in Isotropic Liquids
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
• Generalized thermodynamics of an autonomous micro-engine
• Emergence of $X$ states in a quantum impurity model
• Interaction-induced transition in quantum many-body detection probability
• Capturing the Page Curve and Entanglement Dynamics of Black Holes in Quantum Computers
• Interferometry with Atoms
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
• Entanglement Propagation in Integrable Heisenberg Chains from a New Lens
• Fractonic Quantum Quench in Dipole-constrained Bosons
• Quantum Correlations in Field Theory and Integrable Systems
• Evolution of entanglement entropy in strongly correlated bosons in an optical lattice
• Stable many-body resonances in open quantum systems
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
• Rényi entanglement entropy after a quantum quench starting from insulating states in a free boson system
• Dynamically generated correlations in a trapped bosonic gas via frequency quenches
• Probing False Vacuum Decay and Bubble Nucleation in a Rydberg Atom Array
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Quantum dynamics of Gaudin magnets
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Light cone in the two-dimensional transverse-field Ising model in time-dependent mean-field theory
• Entanglement Dynamics of Random GUE Hamiltonians
• Time dependent Stark ladders: Exact propagator and caustic control
• Fluctuations of work in realistic equilibrium states of quantum systems with conserved quantities
• Finite-time quantum quenches in the XXZ Heisenberg chain
• Detecting Many-Body-Localization Length with Cold Atoms
• Quench dynamics of edge states in a finite extended Su-Schrieffer-Heeger system
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Interference of the signal from a local dynamical process with the quantum state propagation in spin chains
• Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Thermalization of isolated quantum many-body system and the role of entanglement
• Probing Klein tunneling through quantum quenches
• Correlation dynamics of dipolar bosons in 1D triple well optical lattice
• Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
• Building ground states of Hubbard model by time-ordered bound-pair injection
• Finite temperature single-particle Green's function in the Lieb-Liniger model
• Propagation of two-particle correlations across the chaotic phase for interacting bosons
• Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
• Entanglement dynamics in dissipative photonic Mott insulators
• Microscopic Study on Superexchange Dynamics of Composite Spin-1 Bosons
• Nonequilibrium quantum dynamics of partial symmetry breaking for ultracold bosons in an optical lattice ring trap
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Spread of Correlations in Strongly Disordered Lattice Systems with Long-Range Coupling
• Characterization of the chaotic phase in the tilted Bose-Hubbard model
• SU(3) truncated Wigner approximation for strongly interacting Bose gases
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• Bounding entanglement spreading after a local quench
• Two resonant quantum electrodynamics models of quantum measuring systems
• Quench dynamics in strongly coupled laser cavities
• Confinement and false vacuum decay on the Potts quantum spin chain
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Lieb-Robinson bounds imply locality of interactions
• Non-equilibrium dynamics of an ultracold Bose gas under a multi-pulsed quantum quench in interaction
• Bound Bogoliubov quasiparticles in photon superfluids
• Configurable photonic simulator for quantum field dynamics
• Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
• Small quench dynamics as a probe for trapped ultracold atoms
• Bubble quenches in the AdS/BCFT model
• Expansion dynamics of strongly correlated lattice bosons: A selfconsistent density-matrix approach
• Schwinger-Keldysh path integral formalism for a Quenched Quantum Inverted Oscillator
• Spatial Leggett-Garg inequalities
• Tighter thermalization bounds for perturbed quantum many-body scars
• Information propagation in a non-local model with emergent locality
• Particle-hole entanglement of ultracold atoms in an optical lattice
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model
• Machine Learning out of equilibrium correlations in the Bose-Hubbard model
• Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
• Phase diagram and post-quench dynamics in a double spin-chain system in transverse fields
• Construction and universal application of entanglement erasing partner states
• Universal dynamical phase diagram of lattice spin models and strongly correlated ultracold atoms in optical lattices
• Edge States Effects in Quantum Work Statistics
• Emergence of caustics in dynamics of the Kitaev model
• Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench
• Quantum Critical Ballistic Transport in Two-Dimensional Fermi Liquids
• Floquet-engineered system-reservoir interaction in the transverse field Ising model
• Many-body quantum optics in a Bose-Hubbard waveguide
• Quantum equilibration of a model system Porphine
• Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
• Entanglement entropy dynamics of non-Gaussian states in free boson systems: Random sampling approach
• Emergent Thermalization Thresholds in Unitary Dynamics of Inhomogeneously Disordered Quantum Systems
• Quantum wake dynamics in Heisenberg antiferromagnetic chains
• In situ imaging of atomic quantum gases
• Two-spinon effects on the thermal Tonks-Girardeau gas
• Tachyonic quench in a free bosonic field theory
• Microscopic Observation of the Light-Cone-Like Thermal Correlations in Cracking Excitations