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Light-cone-like spreading of correlations in a quantum many-body system
Open accessAbstract
In relativistic quantum field theory, information propagation is bounded by the speed of light. No such limit exists in the non-relativistic case, although in real physical systems, short-range interactions may be expected to restrict the propagation of information to finite velocities. The question of how fast correlations can spread in quantum many-body systems has been long studied. The existence of a maximal velocity, known as the Lieb-Robinson bound, has been shown theoretically to exist in several interacting many-body systems (for example, spins on a lattice)--such systems can be regarded as exhibiting 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 not been observed experimentally. Here we report 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 perspectives for understanding the relaxation of closed quantum systems far from equilibrium, and for engineering the efficient quantum channels necessary for fast quantum computations.
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“This behaviour was recently verified experimentally in [278], while the analysis for long range interactions, where such bounds can be violated is found in [118].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [278]
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Citations
Cites
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114 · cited 1×
“Ultracold atomic gases offer an ideal test bed for exploring such quantum dynamics owing to their almost perfect decoupling from the environment and their fast tunabilit”
BackgroundSelf-citationDensity matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818 · cited 1×
“The numerical simulations relied on matrix product state”
MethodTopology of cosmic domains and strings
Kibble, T. W. B. (1976) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/9/8/029 · Cited by 4,626 · cited 1×
“Furthermore, the production rate of excitations and the formation of domains when tuning the effective interaction strength slowly across the critical point can be investigated, thereby exploring a quantum analogue to the Kibble–Zurek mechanis”
BackgroundCold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685 · cited 1×
“Our system consists of ultracold bosonic atoms in an optical lattice and is well described by the Bose–Hubbard mode”
MethodBoson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512 · cited 1×
“Our system consists of ultracold bosonic atoms in an optical lattice and is well described by the Bose–Hubbard mode”
MethodColloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Cosmological experiments in superfluid helium?
Zurek, W. H. (1985) · Nature · doi:10.1038/317505a0 · Cited by 1,894 · cited 1×
“Furthermore, the production rate of excitations and the formation of domains when tuning the effective interaction strength slowly across the critical point can be investigated, thereby exploring a quantum analogue to the Kibble–Zurek mechanis”
BackgroundA quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice
Bakr, W., Gillen, J. I., Peng, A., Fölling, S., & Greiner, M. (2009) · Nature · doi:10.1038/nature08482 · Cited by 1,511
Flagged first, then by citations
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Items 801–861 of 861
Report on scipost_202105_00008v1
Yamanaka, K., & Sasamoto, T. (2021) · SciPost Physics · doi:10.21468/scipost.report.3245
(2022) · SciPost Physics · doi:10.21468/scipost.report.6274
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Report on scipost_202306_00014v1
(2023) · SciPost Physics · doi:10.21468/scipost.report.7541
Report on scipost_202306_00014v1
(2023) · SciPost Physics · doi:10.21468/scipost.report.7520
Agarwal, K. D., Ghosh, D., Halder, P., & De, A. S. (2026) · Physical review. B./Physical review. B · doi:10.1103/3d7w-2n3m · Cited by 1
“Mathematically, this behavior is for local Hamil-tonians, where c LR , ξ LR , and v LR are parameters that depend on the specific details of the Hamiltonian, the underlying lattice structure, and the choice of operators A and B [111–114].”
Li, B., Li, X., Zhao, X., Zhang, Y., Wang, H., & Li, F. (2024) · New Journal of Physics · doi:10.1088/1367-2630/ad24a1
Random Matrix Statistics in Propagating Correlation Fronts of Fermions
Fujimoto, K., & Sasamoto, T. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.087101
“Currently, the state-of-the-art experiments of cold atoms have observed the light-cone structures [5–7].”
Background(2024) · SciPost Physics · doi:10.21468/scipost.report.8693
(2024) · SciPost Physics · doi:10.21468/scipost.report.8645
(2024) · SciPost Physics · doi:10.21468/scipost.report.8602
(2024) · SciPost Physics · doi:10.21468/scipost.report.8508
Schwinger–Keldysh Path Integral Formalism for a Quenched Quantum Inverted Oscillator
Choudhury, S., Dey, S., Gharat, R. M., Mandal, S., & Pandey, N. (2024) · Symmetry · doi:10.3390/sym16101308
Mean field decoupling of single impurity Anderson model through auxiliary Majorana fermions
Titvinidze, I., Stobbe, J., Rubtsov, A. N., & Rohringer, G. (2025) · Annals of Physics · doi:10.1016/j.aop.2024.169904
Entanglement entropy dynamics of non-Gaussian states in free boson systems: Random sampling approach
Kaneko, R., Kagamihara, D., & Danshita, I. (2025) · Physical Review A · doi:10.1103/physreva.111.032412 · Cited by 1
Gartner, M., Miesbauer, D., Kobler, M., Freund, J., Carleo, G., & Zillich, R. E. (2025) · SciPost Physics · doi:10.21468/scipostphys.18.4.123 · Cited by 1
“…traps [ 9 ] or as lattice gases [ 10 ] , facilitates the study of far from equilibrium dynamics [ 11, 12 ] , by e.g. quenching an optical lattice [ 13 ] to study correlation dynamics, or by interaction quenches of Bose gases by Feshbach resonances [ 14 ] to study three-body correlations [ 15 ]…”
Machine learning out-of-equilibrium correlations in the Bose-Hubbard model
Mokhtari-Jazi, A., & Kennett, M. P. (2025) · Physical Review A · doi:10.1103/physreva.111.043313
Minimal Length from a Bounded Group Velocity in Quantum MechanicsPreprint
Ferreira, F. A. P. (2025) · SSRN Electronic Journal · doi:10.2139/ssrn.5400363
Floquet‐Engineered System‐Reservoir Interaction in the Transverse Field Ising Model
Ahumada, M., Valderrama‐Quinteros, N., & Romero, G. (2025) · Advanced Quantum Technologies · doi:10.1002/qute.202500031
Emergence of caustics in dynamics of the Kitaev model
Saha, S. (2025) · The European Physical Journal B · doi:10.1140/epjb/s10051-025-01066-2 · Cited by 1
“Light cone effects now have been observed in all sorts of systems mentioned above [17,22,26,31,32]. a e-mail: subhendu8795@gmail.com (corresponding author) Recent years have witnessed substantial progress in understanding the dynamics of periodically driven (Flo-quet) systems.”
Expansion dynamics of strongly correlated lattice bosons: A self-consistent density-matrix approach
Schwingel, J., Turaev, M., Kroha, J., & Ray, S. (2025) · Physical Review A · doi:10.1103/bzvn-sp2h
“The experimental observation of bimodal expansion of inter-acting Bose gases with ballistic and diffusive components [5, 6] calls for a detailed understanding of these phenomena, involving the spatio-temporal interplay between the phase-coherent condensate dynamics and the incoherent excitations,…”
Two-spinon effects on the thermal Tonks-Girardeau gas
Sant’Ana, F. T., & Liu, H. (2025) · Physica Scripta · doi:10.1088/1402-4896/ae24c1
“Asimplificationofthemodelhappensatinfiniterepulsiveinteractions,alsoknownasTonks-Girardeaugas [ 55,56 ] .”
Quench spectroscopy for Lieb-Liniger bosons in the presence of harmonic trap
Yu, J. Q., Hu, Y., Chen, W., Yang, J., Chen, X., & Yao, H. (2025) · Physical Review Research · doi:10.1103/f4jf-6gt5 · Cited by 1
Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
Chen, H., & Lian, B. (2025) · Physical Review Letters · doi:10.1103/dn82-y159
Emergent thermalization thresholds in unitary dynamics of inhomogeneously disordered quantum systems
Pal, S. K., Sriram, C. L., & Gupta, S. (2025) · Physical review. E · doi:10.1103/ycdx-sd5m
Quantum Simulation with Cold Atoms in the Optical Lattices.
Chan, Y. (2013) · Deep Blue (University of Michigan)
Benchmark quantum computer with analytical single spin-flip dynamics
Guo, Z.-X., Hu, X.-D., Su, Q.-Q., Yu, X.-J., & Li, Z. (2025) · Quantum Frontiers · doi:10.1007/s44214-025-00096-2
“This has motivated growing attention to out-of-time-ordered correlators (OTOCs) as key indicators of thermalization and information scrambling [47–52].”
Quantum information scrambling in strongly disordered Rydberg spin systems
Müllenbach, M., Geier, S., Braemer, A., Braun, E., Franz, T., Zürn, G., Weidemüller, M., & Gärttner, M. (2026) · Physical review. B./Physical review. B · doi:10.1103/v1lm-c87p · Cited by 1
Tighter thermalization bounds for perturbed quantum many-body scars
Meng-yun, M., Sun, Z., & You, W. (2026) · Physical review. B./Physical review. B · doi:10.1103/2hjm-m1v9
“In generic closed quantum systems with local interactions, there exists a finite bound on the speed of information propagation—known as the Lieb-Robinson bound [35].”
Dynamical scarring from scrambling in two-dimensional topological materials
Szpara, D., Głodzik, S., & Sedlmayr, N. (2026) · Physical review. B./Physical review. B · doi:10.1103/djnb-pddz
Naik, A., Agarwalla, B. K., & Kulkarni, M. (2026) · Physical review. B./Physical review. B · doi:10.1103/bksr-fqn6
Universality of Shallow Global Quenches in Critical Spin Chains
Wei, J., Allen, M., Kemp, J., Wang, C. M., Wei, Z., Moore, J. E., & Yao, N. Y. (2026) · Physical Review Letters · doi:10.1103/dgx2-mwrk
Menna, F. D., Ciuchi, S., & Paganelli, S. (2026) · SciPost Physics Core · doi:10.21468/scipostphyscore.9.3.060
Equilibrium and Nonequilibrium Behaviours of 1D Bose Gases
Fang, B. (2014) · doi:10.70675/fb1dea68zc97ez42d1z9494z45ef2a962399
“As a result, there have been a myriad of activities in the community of ultracold atomic gases to study nonequilibrium dynamics [34, 66, 75, 94, 100, 101, 125, 133, 149, 154].”
BackgroundResultInfluentialOut-Of-Equilibrium Dynamics and Locality in Long-Range Many-Body Quantum Systems
Cevolani, L. (2016) · theses.fr (ABES) · doi:10.70675/ae413c8dz2862z4af5zb4c7zf7403fd55978
Johnson, A. (2016) · theses.fr (ABES) · doi:10.70675/92462eb4z6146z4767za959z8b03bf65a435 · Cited by 1
A new generation experiment for the study of strongly interacting Fermi gases
Jin, S. (2019) · theses.fr (ABES) · doi:10.70675/26991e5fze95fz4cadzbbd0za68ddc194afc
Correlation spreading in quantum lattice models with variable-range interactions
Despres, J. (2019) · theses.fr (ABES) · doi:10.70675/ac65f975z8a16z44e8za734zb03d7d5364ad
Out-of-equilibrium dynamics and quench spectroscopy of ultracold many-body quantum systems
Villa, L. (2021) · theses.fr (ABES) · doi:10.70675/a34e166azf662z47b3z9372z2c0f861b719a
Far-from-equilibrium dynamics and entanglement in long-range quantum systems
Schneider, J. (2022) · theses.fr (ABES) · doi:10.70675/19a4dfcdz202bz4e3aza76fz49b15523ccca
Exact criteria for ground-state overlap dominance and dynamical quantum phase transitions
Haque, T. (2026) · Physical review. E · doi:10.1103/gxlb-k4cp
Dynamical behaviour of density correlations across the chaotic phase for interacting bosons
Dueñas, Ó., & Rodríguez, A. (2026) · New Journal of Physics · doi:10.1088/1367-2630/ae6475
“…against random matrix theory [3, 4], the existence of quantum chaos also leaves a recognizable imprint in the dynamical response of the closed system [5–7] which is typically more accessible to experiments, particularly with platforms of ultracold bosons in low dimensional optical lattices [8–22].”
InfluentialEntanglement-enhanced correlation propagation in the one-dimensional SU ( N ) Fermi-Hubbard model
Mikkelsen, M., & Danshita, I. (2026) · Physical Review A · doi:10.1103/n59n-3rf3
Universal scaling of quantum caustics in the dynamics of interacting particles
Roy, M. S., Mumford, J., Ozer, A., Porat, O., O’Dell, D. H. J., & Torre, E. G. D. (2026) · Physical Review A · doi:10.1103/zxz5-9ghf · Cited by 1
Quantum thermodynamics with information and coherence
Sung, J., & Cheong, J. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05206-0 · Cited by 1
Edge state effects in quantum work statistics
Cavalcante, M. F. (2026) · Physical review. B./Physical review. B · doi:10.1103/gqv5-m3w3
Fluctuation Thermometry of an Atom-Resolved Quantum Gas: Beyond the Fluctuation-Dissipation Theorem
Dixmerias, M., Verstraten, J., Daix, C., Peaudecerf, B., de Jongh, T., & Yefsah, T. (2026) · Physical Review Letters · doi:10.1103/45fw-r1cp
Prethermalization in dipolar binary Bose mixtures following an interspecies interaction ramp
Chérifi, B., & Boudjemâa, A. (2026) · Physics Letters A · doi:10.1016/j.physleta.2026.132009
Symmetry-Enhanced Lieb–Robinson Bounds for a Class of Bose–Hubbard Type Hamiltonians
Kuwahara, T., & Lemm, M. (2024) · Annales de l'Institute Henri Poincare. Physique theorique · doi:10.1007/s00023-026-01733-9 · Cited by 9
Many-body quantum optics in a Bose-Hubbard waveguide
Anonymous (2026) · Physical Review Research · doi:10.1103/lsrq-19nw · Cited by 3
“[41, 51] (see [48]).”
Spatial Leggett-Garg inequalities
Anonymous, Farina, D., Lewenstein, M., & Tononi, A. (2026) · Physical Review A · doi:10.1103/k8g5-crbz
“This behavior is coherent with the fact that quantum correlations can be distributed in spin chains with finite velocity [34], theoretically limited by the Lieb-Robinson bound [38], that we can practically estimate.”
Finite-temperature quenches of local edge memory and nonlocal Majorana parity in the Kitaev chain
Anonymous (2026) · Physical Review A · doi:10.1103/8zkj-2k3d
Relaxation and Prethermalization in One-Dimensional Bose Gases
Langen, T. (2015) · Springer theses · doi:10.1007/978-3-319-18564-4_4
Quantum Hamiltonian-Based Models and the Variational Quantum Thermalizer Algorithm
Verdon, G., Marks, J., Nanda, S., Leichenauer, S., & Hidary, J. (2019) · arXiv · doi:10.48550/arxiv.1910.02071 · Cited by 45
“Our framework is general enough to apply in many situations of interest in quantum computing [57], quantum communication [58], quantum sensing [59], and quantum simulation [60–75].”
Method
Metadata
- Authors
- Cheneau, M., Barmettler, P., Poletti, D., Endres, M., Schauß, P., Fukuhara, T., Gross, C., Bloch, I., Kollath, C., & Kuhr, S.
- Affiliations
- Max Planck Institute of Quantum Optics (DE)
- University of Geneva (CH)
- University of Strathclyde (GB)
- Corresponding author
- Cheneau, Marc
- ORCID
- Venue
- Nature
- Published
- 2012-01
- Volume
- 481
- Issue
- 7382
- Pages
- 484-487
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W1999404512
- Cited by
- 864
- References
- 37
- Citations by year
- 2026: 27 · 2025: 39 · 2024: 32 · 2023: 45 · 2022: 51 · 2021: 62 · 2020: 55 · 2019: 62 · 2018: 68 · 2017: 83 · 2016: 94 · 2015: 82 · 2014: 93 · 2013: 49 · 2012: 22
- FWCI
- 40.71
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- HAL (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- Lieb-Robinson bound, ultracold atoms, optical lattices, quench dynamics, nonequilibrium quantum dynamics, closed quantum systems, quantum information propagation, one-dimensional quantum gases
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