The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“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]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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
Cited by
Sorted by citations
Items 701–800 of 861
Characterization of the chaotic phase in the tilted Bose-Hubbard model
Clavero, P. M., & Rodríguez, A. (2025) · Physical review. E · doi:10.1103/vv47-k25m · Cited by 2
The nonequilibrium dynamics of quantum integrable models
Iyer, D. (2013) · doi:10.7282/t34t6gcm · Cited by 1
“[20, 21, 29, 49, 102, 110, 120, 123, 135] for a collection of recent experiments and Refs.”
ResultBallistic propagation of a local impact in the one-dimensional XY model
Yoshinaga, A. (2021) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/abcd37 · Cited by 1
Lieb-Robinson bounds imply locality of interactions
Wilming, H., & Werner, A. H. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.125101 · Cited by 2
“Many-body systems can now be simulated in experiments, for example, using ultracold atoms in optical lattices, and the Lieb-Robinson cone can be detected experimentally [12–14].”
MethodQuenches, Relaxation, and Prethermalization in an Isolated Quantum System
Langen, T., & Schmiedmayer, J. (2018) · Cambridge University Press eBooks · doi:10.1017/9781316084366.010 · Cited by 1
Dynamics of isolated quantum many-body systems far from equilibrium
Schmitt, M. (2018) · eDiss (Georg-August-Universität Göttingen) · doi:10.53846/goediss-6693 · Cited by 1
A Unitary Perturbation Theory Approach to Real-Time Evolution in the Hubbard Model
Kreye, M. (2019) · doi:10.53846/goediss-7704 · Cited by 1
Out-of-equilibrium dynamics of quantum many-body systems with long-range interactionsPreprint
Defenu, N., Lerose, A., & Pappalardi, S. (2023) · arXiv (Cornell University) · doi:10.3929/ethz-b-000673679 · Cited by 1
Cold-atom systems as condensed matter physics emulation
Takahashi, Y. (2023) · Elsevier eBooks · doi:10.1016/b978-0-323-90800-9.00271-7 · Cited by 1
Quantum simulation of spin models with assembled arrays of Rydberg atoms
de Léséleuc, S. (2018) · theses.fr (ABES) · doi:10.70675/65355ccbzd2cez4a99zaefdz1265453f47d4 · Cited by 3
Pomponio, O., Werner, M. A., Zaránd, G., & Takács, G. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.2.061 · Cited by 32
Moca, C. P., Werner, M. A., Legeza, Ö., Prosen, T., Kormos, M., & Zaránd, G. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.195144
Local Emergence of Thermal Correlations
Langen, T. (2015) · Springer theses · doi:10.1007/978-3-319-18564-4_5
Viewpoint: Zooming in on Entanglement
Hauke, P. (2015)
Thermodynamic approach to generating functions and nonequilibrium dynamics
Hickey, J. M. (2014) · Nottingham ePrints (University of Nottingham)
Trabesinger, A. H. (2012) · Nature Physics · doi:10.1038/nphys2236
Hybrid Atomic-Optomechanical Systems -- Observing Quantum Effects in Macroscopic Oscillators
Singh, S. (2012) · UA Campus Repository (The University of Arizona)
Particle-hole entanglement of ultracold atoms in an optical lattice
Ng, H. T. (2013) · Physical Review A · doi:10.1103/physreva.88.023621
Sun, J.-F., Cui, G.-D., Jiang, B.-N., Qian, J., & Wang, Y. (2013) · Chinese Physics B · doi:10.1088/1674-1056/22/11/110307
On the non-equilibrium dynamics of dissipative Rydberg gases in the presence of dephasing noisePreprint
Levi, E., Gutiérrez, R., & Lesanovsky, I. (2016) · arXiv (Cornell University)
Analysis of Particle Transfer for Periodic Lattice Modulation in Three Dimensional Optical Lattice
Inoue, M., Nakamura, Y., & Yamanaka, Y. (2014) · Asia Pacific Physics Conference (APPC) · doi:10.7566/jpscp.1.012099
In situ imaging of atomic quantum gasesPreprint
Hung, C.-L., & Chin, C. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1312.0498
Dynamique quantique hors-équilibre et systèmes désordonnés pour des atomes ultrafroids bosoniques
Rapporteur, L. C., Rapporteur, M. F., Georges, A., Hilhorst, H., Kollath, C., Examinateur, G. S., & Biroli, G. (2012)
Self-citationDynamics of Quenched Ultracold Quantum Gases
Corson, J. (2016) · CU Scholar (University of Colorado Boulder)
Microscopic Observation of the Light-Cone-Like Thermal Correlations in Cracking ExcitationsPreprint
Ghaffari, H. O., & Griffith, W. A. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1610.00165
“The spread of correlations in space-time is due to propagation of quasi-particles pairs forming light-cone-like propagation which establish the equilibration horizon [11-14].”
BackgroundDynamics, A Displacement And The Superfluidity Density Of A Bose Gas In An Optical Lattice
Yanay, Y. (2015) · eCommons (Cornell University)
Hauke, P. (2015) · Physics · doi:10.1103/physics.8.66
Many-body physics using cold atoms
Sundar, B. (2017) · eCommons (Cornell University) · doi:10.7298/x48913vp
Li, Y., & Hou, J.-M. (2017) · Communications in Theoretical Physics · doi:10.1088/0253-6102/67/4/421
Dinâmica de operadores de dois spins no modelo XX
Schossler, M. (2017) · doi:10.11606/d.76.2017.tde-15092017-090718
Tachyonic quench in a free bosonic field theory
Montes, S., Sierra, G., & Rodríguez-Laguna, J. (2018) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/aaa8e9
Kühn, A., Cevolani, L., & Manmana, S. R. (2018) · Physical Review A · doi:10.1103/physreva.98.013616
Quenching dissipative quantum Ising chain: an exact result for nonequilibrium dynamics
Li, X., Xu, Y.-Y., & Zhao, S. (2019) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ab0e47
Atom/light interaction at the interface of metamaterials
Chan, E. A. (2019) · doi:10.32657/10220/48619
“This has application in single site resolution adrressing of atoms trapped in a two-dimensional lattices where interesting results such as quantum phase transitions, strongly correlated systems, and single spin addressing have been reported [131, 132, 133].”
BackgroundQuantum equilibration of a model system PorphinePreprint
Albareda, G., Riera, A., González, M., Bofill, J. M., Moreira, I. D. P. R., Valero, R., & Tavernelli, I. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1910.05982
Construction and Universal Application of Entanglement-Erasing Partner States
Hetterich, D., & Matveeva, P. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.160503
Quantum Critical Ballistic Transport in Two-Dimensional Fermi LiquidsPreprint
Chandra, M., Kataria, G., & Sahdev, D. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1910.13737
“This leads to a large number of correlations which spread on a light-cone with speed vF, similar to those observed in quench studies [18, 19].”
ResultQuantum Spin in an Environment
Ashida, Y. (2020) · Springer theses · doi:10.1007/978-981-15-2580-3_5
Ashida, Y. (2020) · Springer theses · doi:10.1007/978-981-15-2580-3_1
Report on scipost_201910_00032v1
(2019) · SciPost Physics Proceedings · doi:10.21468/scipost.report.1366
Bubble quenches in the AdS/BCFT model
Cavalcanti, A. G., & Melnikov, D. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.103.046022
“Besides the general importance of such problems the recent interest was also stimulated by the progress in experimental techniques, such as the control of dynamics of cold atoms [8–15], which allowed to test various theoretical model predictions.”
BackgroundQuantum equilibration of the double-proton transfer in a model system porphine
Albareda, G., Riera, A., González, M., Bofill, J. M., Moreira, I. D. P. R., Valero, R., & Tavernelli, I. (2020) · Physical Chemistry Chemical Physics · doi:10.1039/d0cp02991b
Thermalization of Isolated Quantum Many-Body System and EntanglementPreprint
Deb, P., Banerjee, A., Bej, P., & Ghoshal, P. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4509117
Fast scrambling dynamics in an all-to-all disordered quantum spin modelPreprint
Li, S.-S., Huang, R.-Z., & Fan, H. (2021) · arXiv (Cornell University)
Phase diagram and post-quench dynamics in a double spin-chain system in transverse fieldsPreprint
Agarwal, A., Hughes, M., & Mur-Petit, J. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2111.07831
“Such propagation dynamics in one-dimensional spin models have been explored analytically and numerically in numerous papers including [28–30], and observed experimentally in quantumgas-microscope experiments [31, 32].”
BackgroundInformation propagation in a non-local model with emergent locality
Ji, K., & Hung, L.-Y. (2022) · Journal of High Energy Physics · doi:10.1007/jhep04(2022)106
Robust lattice manipulation beyond nearest-neighbor coupling by pulsed electric field
Xu, S., Gong, W., Shen, H. Z., & Yi, X. X. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.014307
(2021) · SciPost Physics · doi:10.21468/scipost.report.3996
(2021) · SciPost Physics · doi:10.21468/scipost.report.4096
(2021) · SciPost Physics · doi:10.21468/scipost.report.3732
(2021) · SciPost Physics · doi:10.21468/scipost.report.3707
Lieb–Robinson bound in one-dimensional inhomogeneous quantum systems
Fu, H., Luo, M., & Tong, P. (2022) · Physica B Condensed Matter · doi:10.1016/j.physb.2022.413958
Report on scipost_202103_00015v1
(2021) · SciPost Physics · doi:10.21468/scipost.report.2785
(2020) · SciPost Physics · doi:10.21468/scipost.report.1532
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.105
(2018) · SciPost Physics · doi:10.21468/scipost.report.635
(2017) · SciPost Physics · doi:10.21468/scipost.report.166
Report on scipost_202103_00028v1
(2021) · SciPost Physics · doi:10.21468/scipost.report.2863
Endres, M. (2014) · Springer theses · doi:10.1007/978-3-319-05753-8_1
Self-citation(2016) · SciPost Physics · doi:10.21468/scipost.report.22
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.239
(2020) · SciPost Physics Lecture Notes · doi:10.21468/scipost.report.2275
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.161
Report on scipost_202105_00012v1
(2021) · SciPost Physics · doi:10.21468/scipost.report.2928
(2020) · SciPost Physics Lecture Notes · doi:10.21468/scipost.report.2041
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.158
(2020) · SciPost Physics Lecture Notes · doi:10.21468/scipost.report.2056
(2017) · SciPost Physics · doi:10.21468/scipost.report.174
Nagao, K. (2020) · Springer theses · doi:10.1007/978-981-15-7171-8_1
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.99
(2017) · SciPost Physics · doi:10.21468/scipost.report.199
(2017) · SciPost Physics · doi:10.21468/scipost.report.221
(2017) · SciPost Physics · doi:10.21468/scipost.report.236
(2016) · SciPost Physics · doi:10.21468/scipost.report.10
Report on scipost_202103_00028v1
(2021) · SciPost Physics · doi:10.21468/scipost.report.3023
Report on scipost_202005_00003v1
(2020) · SciPost Physics · doi:10.21468/scipost.report.1742
Rauer, B. (2019) · Springer theses · doi:10.1007/978-3-030-18236-6_1
Report on scipost_202105_00012v1
(2021) · SciPost Physics · doi:10.21468/scipost.report.3347
(2017) · SciPost Physics · doi:10.21468/scipost.report.164
(2020) · SciPost Physics · doi:10.21468/scipost.report.1589
(2020) · SciPost Physics · doi:10.21468/scipost.report.1521
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.181
Semiclassical Quench Dynamics of Bose Gases in Optical Lattices
Nagao, K. (2020) · Springer theses · doi:10.1007/978-981-15-7171-8_5 · Cited by 2
(2020) · SciPost Physics · doi:10.21468/scipost.report.1680
Report on scipost_202008_00011v1
(2020) · SciPost Physics · doi:10.21468/scipost.report.2007
“[4–9].”
Ilievski, E. (2017) · SciPost Physics · doi:10.21468/scipost.report.179
(2016) · SciPost Physics · doi:10.21468/scipost.report.2
(2020) · SciPost Physics · doi:10.21468/scipost.report.1750
(2017) · SciPost Physics · doi:10.21468/scipost.report.194
(2016) · SciPost Physics · doi:10.21468/scipost.report.30
Report on scipost_202008_00011v1
(2020) · SciPost Physics · doi:10.21468/scipost.report.2134
(2017) · SciPost Physics · doi:10.21468/scipost.report.176
Report on scipost_202103_00015v2
(2021) · SciPost Physics · doi:10.21468/scipost.report.3455
Quasiparticle Pair-Production and Quantum Entanglement
Chen, C.-A. (2022) · Springer theses · doi:10.1007/978-3-031-13355-8_6
Report on scipost_202105_00008v2
Yamanaka, K., & Sasamoto, T. (2023) · SciPost Physics · doi:10.21468/scipost.report.6720
Report on scipost_202105_00008v1
Yamanaka, K., & Sasamoto, T. (2021) · SciPost Physics · doi:10.21468/scipost.report.3018
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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review