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 601–700 of 861
Probing False Vacuum Decay and Bubble Nucleation in a Rydberg Atom Array
Chao, Y.-X., Ge, P., Hua, Z.-X., Jia, C., Wang, X., Liang, X., Yue, Z.-P., Lu, R., Tey, M. K., Wang, X., et al. (2026) · Physical Review Letters · doi:10.1103/kqzq-fnr4 · Cited by 10
Hadipour, M., Haseli, S., & Haddadi, S. (2024) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ad54ae · Cited by 4
“QSL time and its applications have been extensively studied experimentally and theoretically [ 16 – 20 ] .”
Breakdown of linear spin-wave theory in a non-Hermitian quantum spin chain
Despres, J., Mazza, L., & Schirò, M. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.094304 · Cited by 4
Flux-quench induced dynamical quantum phase transitions in an extended XY spin-chain
Nie, W.-H., Zhang, M., & Wang, L. (2024) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2024.130110 · Cited by 4
Emergence of X states in a quantum impurity model
Cavalcante, M. F., Bonança, M. V. S., Miranda, E., & Deffner, S. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.l022027 · Cited by 4
“An experimentally accessible quantity [28] is the response function, where σ z 1 ( t ) = e iH 0 t σ z 1 e − iH 0 t is the operator σ z 1 in the Heisenberg representation [29] and For a sufficiently small value of g 0 , the impulse is weak and the response function (4) describes how ⟨ σ z 1 ( t )…”
Relaxation Exponents of OTOCs and Overlap with Local Hamiltonians
Balachandran, V., & Poletti, D. (2022) · Entropy · doi:10.3390/e25010059 · Cited by 6
“In local and bounded Hamiltonians, the speed of propagation of the correlations is limited by Lieb-Robinson bound [41, 46].”
BackgroundSelf-citationMarten, S., Bollmark, G., Köhler, T., Manmana, S. R., & Kantian, A. (2023) · SciPost Physics · doi:10.21468/scipostphys.15.6.236 · Cited by 5
“Then t ⊥ would be quenched or rapidly increased to a value that at equilibrium would correspond to the SC regime, analogous to other types of experimentally performed rapid parameter changes (c.f. [43,44] and references therein).”
ResultInteraction-induced transition in quantum many-body detection probability
Purkayastha, A., & Imparato, A. (2024) · Physical Review A · doi:10.1103/physreva.109.l020202 · Cited by 4
Microscopic Study on Superexchange Dynamics of Composite Spin-1 Bosons.
Luo, A., Zheng, Y.-G., Zhang, W.-Y., He, M.-Y., Shen, Y.-C., Zhu, Z.-H., Yuan, Z.-S., & Pan, J.-W. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.043401 · Cited by 5
“We observed a light-cone-like propagation of the spin correlations, which is associated with the Lieb-Robinson bounds in a short-range interacting spin system [32, 33].”
BackgroundLimits to Velocity of Signal Propagation in Many-Body Systems: A Quantum Information Perspective
Wysocki, P., & Chwedeńczuk, J. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.020201 · Cited by 4
“It is a determinant of correlations strength build-up in complex systems [14–18], a quantity that is directly measurable in experiment [19].”
Observation of minimal and maximal speed limits for few and many-body states
Zhu, Z., Gao, L., Bao, Z., Xiang, L., Song, Z., Xu, S., Wang, K., Chen, J., Jin, F., Zhu, X., et al. (2025) · Nature Communications · doi:10.1038/s41467-025-56451-3 · Cited by 7
“…Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.”
InfluentialTwo-dimensional correlation propagation dynamics with a cluster discrete phase-space method
Nagao, K., & Yunoki, S. (2025) · Physical Review A · doi:10.1103/physreva.111.023315 · Cited by 6
Lee, Y. K., Block, M., Lin, H., Fedoseev, V., Crowley, P. J. D., Yao, N. Y., & Ketterle, W. (2025) · Physical Review Letters · doi:10.1103/jqvz-kpwg · Cited by 4
Site-Resolved Imaging with the Fermi Gas Microscope
Huber, F. (2014) · Cited by 3
Dynamics of fluctuations in a quantum system
Chen, Y.-J., Pabst, S., Li, Z., Vendrell, O., & Santra, R. (2014) · Physical Review A · doi:10.1103/physreva.89.052113 · Cited by 6
Zhao, X., McLain, M. A., Vijande, J., Ferrando, A., Carr, L. D., & García-March, M. Á. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab0cb0 · Cited by 4
“[6] Marc Cheneau, Peter Barmettler, Dario Poletti, Manuel Endres, Peter Schauß, Takeshi Fukuhara, Christian Gross, Immanuel Bloch, Corinna Kollath, and Stefan Kuhr.”
BackgroundMethodPostquench entropy growth in a chiral clock model
Nishad, N., Santhosh, M., & Sreejith, G. J. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.195141 · Cited by 4
Static properties of two linearly coupled discrete circuits
Escrivà, A., Richaud, A., Juliá-Díaz, B., & Guilleumas, M. (2021) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ac00c4 · Cited by 4
Thermal bath effects in quantum quenches within quantum critical regimes
Tarantelli, F., & Vicari, E. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.035128 · Cited by 4
Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
Veness, T., Essler, F. H. L., & Fisher, M. P. A. (2017) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2016.0433 · Cited by 4
Study of open systems with molecules in isotropic liquids
Kondo, Y., & Matsuzaki, M. (2018) · Modern Physics Letters B · doi:10.1142/s0217984918300028 · Cited by 4
The Loschmidt-echo dynamics in a quantum chaos model
Мирмасоуди, Ф., Ahadpour, S., Vahedi, J., & Mahdavifar, S. (2019) · Physica Scripta · doi:10.1088/1402-4896/ab0582 · Cited by 4
Spreading of correlations in a quenched repulsive and attractive one-dimensional integrable system
Barbiero, L., & Dell’Anna, L. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.064303 · Cited by 4
White, I. G., Hulet, R. G., & Hazzard, K. R. A. (2019) · Physical Review A · doi:10.1103/physreva.100.033612 · Cited by 5
Lévêque, C., & Madsen, L. B. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5095991 · Cited by 4
Emergent dissipative quasi-particle picture in noninteracting Markovian open quantum systemsPreprint
Carollo, F., & Alba, V. (2021) · arXiv (Cornell University) · Cited by 4
Halati, C.-M., Sheikhan, A., Morigi, G., Kollath, C., & Jäger, S. B. (2025) · Physical Review Letters · doi:10.1103/tt11-vcpr · Cited by 3
“D1 and the velocity of the light-cone propagation [15].”
Self-citationQuantum dynamics of Gaudin magnets
He, W., Chesi, S., Lin, H., & Guan, X. (2022) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ac5417 · Cited by 3
Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
Bauer, N. P., Budich, J. C., Trauzettel, B., & Calzona, A. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.190401 · Cited by 3
Fractonic quantum quench in dipole-constrained bosons
Oh, Y.-T., Han, J. H., & Lee, H. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.023269 · Cited by 5
“The constraints are, in turn, resolved by mapping the boson model to the fermion model through Jordan-Wigner transformation [29, 30].”
MethodResultEntanglement propagation in integrable Heisenberg chains from a new lens
Azodi, P., & RABITZ, H. A. (2024) · Journal of Physics Communications · doi:10.1088/2399-6528/ad829a · Cited by 3
Capturing the Page curve and entanglement dynamics of black holes in quantum computers
Chowdhury, T. A., Yu, K., Asaduzzaman, M., & Sufian, R. S. (2025) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2025.117112 · Cited by 3
“Specifically, we implement the quantum simulation of the scrambling dynamics in black holes using an efficient random unitary circuit.”
Dynamically generated correlations in a trapped bosonic gas via frequency quenches
Mesquita, N., Kulkarni, M., Majumdar, S. N., & Sabhapandit, S. (2025) · Journal of Physics Conference Series · doi:10.1088/1742-6596/3152/1/012011 · Cited by 3
Sudden switch of correlation building velocity in a strong transverse field Ising spin chain
Guo, Y., Liu, Y., & Zhou, D. L. (2012) · The European Physical Journal D · doi:10.1140/epjd/e2012-30296-8 · Cited by 3
Detecting many-body-localization lengths with cold atoms
Guo, X., & Li, X. (2018) · Physical Review A · doi:10.1103/physreva.97.033622 · Cited by 3
Static properties of two linearly coupled discrete circuits
Escrivà, A., Richaud, A., Juliá-Díaz, B., & Guilleumas, M. (2021) · Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) · Cited by 3
Dynamics of the Entanglement Zero Modes in the Haldane Model under a Quantum Quench
Ji, H.-X., Mo, L.-H., & Wan, X. (2022) · Chinese Physics Letters · doi:10.1088/0256-307x/39/3/030301 · Cited by 3
Stable Many-Body Resonances in Open Quantum Systems
Peña, R., Kyaw, T. H., & Romero, G. (2022) · Symmetry · doi:10.3390/sym14122562 · Cited by 3
“Also, we consider the strongly interacting regime where U J0 [3], where J0 is the bare (static) hopping rate.”
Kagamihara, D., Kaneko, R., Yamashika, S., Sugiyama, K., Yoshii, R., Tsuchiya, S., & Danshita, I. (2023) · Physical Review A · doi:10.1103/physreva.107.033305 · Cited by 4
Evolution of entanglement entropy in strongly correlated bosons in an optical lattice
Yamashika, S., Kagamihara, D., Yoshii, R., & Tsuchiya, S. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.043102 · Cited by 3
“…and holon annihilation (creation) operators, ˆ d j ( ˆ d † j ) and ˆ h j (ˆ h † j ), respectively, the Hamiltonian (1) is approximately mapped to [32, 47] ˆ H = ˆ P ˆ H eff ˆ P, where ˆ H eff is the Hamiltonian of the effective theory given by and ˆ P = j (1 − ˆ d † j ˆ d j ˆ h † j ˆ h j ) is…”
BackgroundMethodInfluentialMitra, A., & Srivastava, S. C. L. (2023) · Physical review. E · doi:10.1103/physreve.108.054114 · Cited by 3
Propagation of two-particle correlations across the chaotic phase for interacting bosons
Dueñas, Ó., Peña, D., & Rodríguez, A. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.l012031 · Cited by 4
Li, X., & Shi, Y. (2019) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/125/67003 · Cited by 3
Time-dependent Stark ladders: exact propagator and caustic control
Sadurní, E. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/13/135302 · Cited by 3
Dynamic fragmentation in a quenched two-mode Bose–Einstein condensate
Wu, S., Zhong, H., Huang, J., Qin, X., & Lee, C. (2015) · Frontiers of Physics · doi:10.1007/s11467-015-0530-9 · Cited by 3
“), the outof-equilibrium dynamics such as thermalization [38–43], the dynamics of a quantum phase transition [44–48], and quantum transport [49–52] in quenched many-body quantum systems have been extensively investigated.”
BackgroundCreating arbitrary 2D arrays of single atoms for the simulation of spin systems with Rydberg states
Labuhn, H. (2016) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2015-50336-5 · Cited by 4
12 superconducting qubits for quantum walks
Fan, H., & Zhu, X. (2019) · Frontiers of Physics · doi:10.1007/s11467-019-0915-2 · Cited by 3
Finite-time quantum quenches in the XXZ Heisenberg chain
Schoenauer, B., & Schuricht, D. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.115418 · Cited by 3
Fluctuations of work in realistic equilibrium states of quantum systems with conserved quantities
Mur-Petit, J., Relaño, A., Molina, R. A., & Jaksch, D. (2020) · SciPost Physics Proceedings · doi:10.21468/scipostphysproc.3.024 · Cited by 3
“have presented a series of experiments on similar 1D Bose gases [9–12] (see also [13,14]).”
BackgroundFluctuations of work in realistic equilibrium states of quantum systems with conserved quantities
Mur-Petit, J., Relaño, A., Molina, R. A., & Jaksch, D. (2020) · DIGITAL.CSIC (Spanish National Research Council (CSIC)) · Cited by 3
Roósz, G., Lin, Y.-C., & Iglói, F. (2017) · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · Cited by 3
Anomalous quantum information scrambling for Z3 parafermion chains
Zhang, S.-Y., & Deng, D.-L. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.195156 · Cited by 3
“[44] Marc Cheneau, Peter Barmettler, Dario Poletti, Manuel Endres, Peter Schauß, Takeshi Fukuhara, Christian Gross, Immanuel Bloch, Corinna Kollath, and Stefan Kuhr, “Light-cone-like spreading of correlations in a quantum many-body system,” Nature 481, 484–487 (2012).”
BackgroundGeneralized thermodynamics of an autonomous micro-enginePreprint
Gilz, L., Thesing, E. P., & Anglin, J. R. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1304.3222 · Cited by 3
“ĤME = − h̄γ 2 ( eâ−â+ + e â+â− ) , (4)”
Numerical methods for strongly correlated many-body systems with bosonic degrees of freedom
Dorfner, F. (2017) · Elektronische Hochschulschriften der LMU München (Ludwig-Maximilians-Universität München) · doi:10.5282/edoc.20552 · Cited by 4
Interferometry with AtomsPreprint
Schaff, J.-F., Langen, T., & Schmiedmayer, J. (2015) · arXiv (Cornell University) · doi:10.3254/978-1-61499-448-0-1 · Cited by 3
Mukherjee, K., Biedermann, G. W., & Lewis-Swan, R. J. (2024) · Physical Review A · doi:10.1103/physreva.110.053320 · Cited by 2
Gadge, K., & Manmana, S. R. (2025) · Physical review. B./Physical review. B · doi:10.1103/7fzq-zkbv · Cited by 2
Macroscopic Suppression of Supersonic Quantum Transport
Faupin, J., Lemm, M., Sigal, I. M., & Zhang, J. (2025) · Physical Review Letters · doi:10.1103/27qs-vlrn · Cited by 2
“LRBs have also been observed experimentally [49–52], e.g., with ultra-cold atoms in optical lattices.”
Generation and Read-Out of Many-Body Bell Correlations with a Probe Qubit
Płodzień, M., & Chwedeńczuk, J. (2026) · Physical Review Letters · doi:10.1103/gmpy-2sgh · Cited by 2
Finite temperature single-particle Green's function in the Lieb-Liniger model
Senese, R., & Eßler, F. H. L. (2026) · Physical review. B./Physical review. B · doi:10.1103/8qtr-dm7g · Cited by 2
Fluorescence Imaging of Quantum Gases
Weitenberg, C. (2014) · Cold atoms · doi:10.1142/9781783264766_0007 · Cited by 2
Correlation Dynamics of Dipolar Bosons in 1D Triple Well Optical Lattice
Bera, S., Salasnich, L., & Chakrabarti, B. (2019) · Symmetry · doi:10.3390/sym11070909 · Cited by 2
Thermalization of isolated quantum many-body system and the role of entanglement
Saha, T., Ghosal, P., Bej, P., Banerjee, A., & Deb, P. (2024) · Physics Letters A · doi:10.1016/j.physleta.2024.129501 · Cited by 2
Generalized Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy for Near-Integrable Dynamics
Biagetti, L., Łebek, M., Panfil, M., & Nardis, J. D. (2026) · Physical Review X · doi:10.1103/sx1x-pyl1 · Cited by 6
Finite size analysis for interacting bosons at the one-two dimensional crossover
Pizzino, L., Yao, H., & Giamarchi, T. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013021 · Cited by 2
Confinement and false vacuum decay on the Potts quantum spin chain
Pomponio, O., Krasznai, A., & Takács, G. (2025) · SciPost Physics · doi:10.21468/scipostphys.18.3.082 · Cited by 2
Quench spectroscopy for dissipative and non-Hermitian quantum lattice models
Despres, J. (2025) · Physical Review A · doi:10.1103/x1jy-b9tf · Cited by 2
“The phase and density fluctuations determined by G 1 and G 2 can be measured in ultra-cold-atom experiments using time-of-flight and fluorescence microscopy imaging respectively [3, 36, 46, 47].”
InfluentialBortolin, T., & Iucci, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.024301 · Cited by 2
Non-equilibrium dynamics of isolated quantum systems
Calabrese, P. (2015) · EPJ Web of Conferences · doi:10.1051/epjconf/20159008001 · Cited by 2
Investigating the dynamics of a Bose Einstein condensate on an atom chip
Barr, I. J. M. (2015) · doi:10.25560/26226 · Cited by 2
“In [32] and [33] an out of equilibrium gas in an optical lattice was prepared and then measured as it evolved.”
BackgroundGilz, L., & Anglin, J. R. (2015) · Physical Review A · doi:10.1103/physreva.92.013622 · Cited by 2
Sur, S., & Subrahmanyam, V. (2018) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/aae952 · Cited by 2
Demler, E., Mal'tsev, A. Y., & Prokofiev, A. O. (2017) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/50/12/124001 · Cited by 2
“Several intriguing nonequilibrium phenomena have been demonstrated recently in ensembles of ultracold atoms, including collapse and revival of coherence [20], absence of relaxation in nearly integrable systems [6], exponential slowdown of relaxation in systems with strong mismatch of excitation energies [21], anomalou…”
BackgroundEntanglement dynamics in dissipative photonic Mott insulators
Donatella, K., Biella, A., Boité, A. L., & Ciuti, C. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.043232 · Cited by 3
Building ground states of the Hubbard model by time-ordered bound-pair injection
Zhang, K. L., & Song, Z. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.245140 · Cited by 2
Experimental tests of Lieb–Robinson bounds
Cheneau, M. (2022) · EMS Press eBooks · doi:10.4171/90-1/10 · Cited by 4
Self-citationDynamical triplet unraveling : A quantum Monte Carlo algorithm for reversible dynamics
Chessex, R., Borrelli, M., & Öttinger, H. C. (2022) · Physical Review A · doi:10.1103/physreva.106.022222 · Cited by 2
Negative absolute temperature and the dynamics of quantum phase transitions
Braun, S. G. (2014) · Electronic Theses of LMU Munich (Ludwig-Maximilians-Universität München) · doi:10.5282/edoc.18002 · Cited by 2
Quench dynamics in strongly coupled laser cavitiesPreprint
Marconi, M., Javaloyes, J., Hamel, P., Raineri, F., Beaudoin, G., Sagnes, I., Levenson, J. A., & Yacomotti, A. M. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1706.02993 · Cited by 2
Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected TopologyPreprint
Gong, Z., Kura, N., Sato, M., & Ueda, M. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1904.12464 · Cited by 5
“Such a light-cone spreading of correlation as well as its breakdown for long-range interactions has recently been examined in ultracold-atom and trapped-ion experiments [55–57].”
BackgroundQuench dynamics of ultracold atoms in one-dimensional optical lattices with artificial gauge fields
Cai, X. (2017) · Chinese Physics B · doi:10.1088/1674-1056/26/8/086701 · Cited by 1
Two resonant quantum electrodynamics models of quantum measuring systems
Konishi, E. (2019) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-019-00187-5 · Cited by 1
Nag, T., & Rajak, A. (2018) · Physical review. E · doi:10.1103/physreve.97.042108 · Cited by 1
Caustics in the sine-Gordon model from quenches in coupled one-dimensional Bose gases
Agarwal, A., Kulkarni, M., & O’Dell, D. H. J. (2023) · Physical Review A · doi:10.1103/physreva.108.013312 · Cited by 1
Neutral atom quantum computers for the applications in condensed matter physics
Shweta, Kaur, I., Singh, N., Kanjilal, S., & Santra, B. (2025) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/adbb9b · Cited by 2
“The single-site and single-atom resolution also facilitates the study of dynamics in strongly correlated bosonic quantum systems [160–162] and allows for determination of non-local order parameters, such as string order [163].”
Configurable Photonic Simulator for Quantum Field Dynamics
D'Achille, M., Gärttner, M., & Haas, T. (2026) · PRX Quantum · doi:10.1103/8z9p-tygz · Cited by 4
“Describes the rapid inflatory phase of our universe with Hubble rate H and constant positive, i.e., spherical, curvature; Corre-sponds to the time-like patch of dS 2 .”
Hara, R., Endo, S., & Yamashika, S. (2026) · Physical review. B./Physical review. B · doi:10.1103/lpz6-3v48 · Cited by 3
Spatially structured entanglement from nonequilibrium thermal pure states
Bai, C., Tan, M. T., Lapierre, B., & Ryu, S. (2026) · Physical review. B./Physical review. B · doi:10.1103/sg51-1c1s · Cited by 1
Andrea Pelissetto, C., Rossini, D., & Vicari, E. (2026) · Physical review. B./Physical review. B · doi:10.1103/plrd-q8vq · Cited by 1
Small quench dynamics as a probe for trapped ultracold atoms
Yeshwanth, S., Rigol, M., Haas, S., & Venuti, L. C. (2015) · Physical Review A · doi:10.1103/physreva.91.063632 · Cited by 1
Non-equilibrium dynamics of an ultracold Bose gas under multi-pulsed interaction quenches
Chen, L., Zhi-dong, Z., & Liang, Z. (2016) · Modern Physics Letters B · doi:10.1142/s021798491650367x · Cited by 1
Light-cone effect and relaxation after a quantum quench from excited states in the Ising chain
Bucciantini, L. (2014) · Journal of Physics Conference Series · doi:10.1088/1742-6596/566/1/012026 · Cited by 1
Bounding entanglement spreading after a local quench
Drumond, R. C., & Móller, N. S. (2017) · Physical Review A · doi:10.1103/physreva.95.062301 · Cited by 1
Effective Particles in Quantum Spin Chains: Applications
Vanderstraeten, L. (2017) · Springer theses · doi:10.1007/978-3-319-64191-1_4 · Cited by 2
Thermalization of small quantum systems: from the zeroth law of thermodynamics
Wang, J., Wang, W.-G., & Wang, J. (2021) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ac451c · Cited by 1
Spread of correlations in strongly disordered lattice systems with long-range coupling
Kawa, K., & Machnikowski, P. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.184204 · Cited by 1
Blocking particle dynamics in a diamond chain with spatially increasing flux
Mizoguchi, T., Kuno, Y., & Hatsugai, Y. (2024) · Physical Review A · doi:10.1103/physreva.109.053315 · Cited by 5
Iglói, F., & Király, C. Z. (2024) · The European Physical Journal B · doi:10.1140/epjb/s10051-024-00715-2 · Cited by 1
“Recently, this latter type of technique is very well developed and different intriguing questions could be studied experimentally [93–101].”
BackgroundBound Bogoliubov quasiparticles in photon superfluids
Ciszak, M., & Marino, F. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.l032006 · Cited by 1
“Recent experiments also revealed interference effects between Bogoliubov modes [38] and signatures of quantum depletion [39], phenomena observed so far only in ultracold atomic gases [40, 41].”
BackgroundDiagnosing quantum crosstalk in superconducting quantum chips by using out-of-time-order correlators
张, Y. 宇. Z., 张, Y. 钰. Z., 李, S. 邵. L., 郑, W. 文. Z., & Yu, Y. (2024) · Chinese Physics B · doi:10.1088/1674-1056/ad73b3 · Cited by 1
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
