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In locally interacting quantum many-body systems, the velocity of information propagation is finitely bounded and a linear light cone can be defined.
1906
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1908
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Elliott H. Lieb and Derek W. Robinson, “ The finite group velocity of quantum spin systems
1972
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Thierry Dauxois, Stefano Ruffo, Ennio Arimondo, and Martin Wilkens, “ Dynamics and thermodynamics of systems with long-range interactions: An introduction
2002
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M. B. Hastings and Xiao-Gang Wen, “ Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
2005
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S. Bravyi, M. B. Hastings, and F. Verstraete, “ Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order
2006
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Jens Eisert and Tobias J. Osborne, “ General Entanglement Scaling Laws from Time Evolution
2006
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Bruno Nachtergaele and Robert Sims, “ Lieb-Robinson Bounds and the Exponential Clustering Theorem
2006
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Matthew B. Hastings and Tohru Koma, “ Spectral Gap and Exponential Decay of Correlations
2006
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Tobias J. Osborne, “ Efficient Approximation of the Dynamics of One-Dimensional Quantum Spin Systems
2006
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Christian K. Burrell and Tobias J. Osborne, “ Bounds on the Speed of Information Propagation in Disordered Quantum Spin Chains
2007
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Tobias J. Osborne, “ Simulating adiabatic evolution of gapped spin systems
2007
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Maurizio Fagotti and Pasquale Calabrese, “ Evolution of entanglement entropy following a quantum quench: Analytic results for the X Y XY chain in a transverse magnetic field
2008
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Andreas M Läuchli and Corinna Kollath, “ Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
2008
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Sergey Bravyi, David P. DiVincenzo, Daniel Loss, and Barbara M. Terhal, “ Quantum Simulation of Many-Body Hamiltonians Using Perturbation Theory with Bounded-Strength Interactions
2008
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M. B. Hastings, “ Observations outside the light cone: Algorithms for nonequilibrium and thermal states
2008
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Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “ Many-body physics with ultracold gases
2008
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Alioscia Hamma, Fotini Markopoulou, Isabeau Prémont-Schwarz, and Simone Severini, “ Lieb-Robinson Bounds and the Speed of Light from Topological Order
2009
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Christian K. Burrell, Jens Eisert, and Tobias J. Osborne, “ Information propagation through quantum chains with fluctuating disorder
2009
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J. Eisert and D. Gross, “ Supersonic Quantum Communication
2009
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Lluís Masanes, “ Area law for the entropy of low-energy states
2009
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M. B. Hastings, “ Light-cone matrix product
2009
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Vera Bendkowsky, Björn Butscher, Johannes Nipper, James P Shaffer, Robert Löw, and Tilman Pfau, “ Observation of ultralong-range Rydberg molecules
2009
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Alessandro Campa, Thierry Dauxois, and Stefano Ruffo, “ Statistical mechanics and dynamics of solvable models with long-range interactions
2009
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Isabeau Prémont-Schwarz, Alioscia Hamma, Israel Klich, and Fotini Markopoulou-Kalamara, “ Lieb-Robinson bounds for commutator-bounded operators
2010
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David Poulin, “ Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics
2010
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Isabeau Prémont-Schwarz and Jeff Hnybida, “ Lieb-Robinson bounds on the speed of information propagation
2010
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2010
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Sergey Bravyi, Matthew B. Hastings, and Spyridon Michalakis, “ Topological quantum order: Stability under local perturbations
2010
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M. Saffman, T. G. Walker, and K. Mølmer, “ Quantum information with Rydberg atoms
2010
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Norbert Schuch, Sarah K. Harrison, Tobias J. Osborne, and Jens Eisert, “ Information propagation for interacting-particle systems
2011
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Sergey Bravyi and Matthew B. Hastings, “ A Short Proof of Stability of Topological Order under Local Perturbations
2011
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Tobias J Osborne, “ Hamiltonian complexity
2012
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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
2012
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K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, and F. Ferlaino, “ Bose-Einstein Condensation of Erbium
2012
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Joseph W Britton, Brian C Sawyer, Adam C Keith, C-C Joseph Wang, James K Freericks, Hermann Uys, Michael J Biercuk, and John J Bollinger, “ Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
2012
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Thomas Koffel, M. Lewenstein, and Luca Tagliacozzo, “ Entanglement Entropy for the Long-Range Ising Chain in a Transverse Field
2012
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Thomas Barthel and Martin Kliesch, “ Quasilocality and Efficient Simulation of Markovian Quantum Dynamics
2012
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J. Jünemann, A. Cadarso, D. Pérez-García, A. Bermudez, and J. J. García-Ripoll, “ Lieb-Robinson Bounds for Spin-Boson Lattice Models and Trapped Ions
2013
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Karel Van Acoleyen, Michaël Mariën, and Frank Verstraete, “ Entanglement Rates and Area Laws
2013
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Spyridon Michalakis and Justyna P. Zwolak, “ Stability of Frustration-Free Hamiltonians
2013
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Tim Langen, Remi Geiger, Maximilian Kuhnert, Bernhard Rauer, and Joerg Schmiedmayer, “ Local emergence of thermal correlations in an isolated quantum many-body system
2013
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Ivan Kukuljan, Sa šo Grozdanov, and Toma ž Prosen, “ Weak quantum chaos
2017
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Adam Nahum, Jonathan Ruhman, Sagar Vijay, and Jeongwan Haah, “ Quantum Entanglement Growth under Random Unitary Dynamics
2017
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David J. Luitz and Yevgeny Bar Lev, “ Information propagation in isolated quantum systems
2017
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Jun Li, Ruihua Fan, Hengyan Wang, Bingtian Ye, Bei Zeng, Hui Zhai, Xinhua Peng, and Jiangfeng Du, “ Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator
2017
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Hannes Bernien, Sylvain Schwartz, Alexander Keesling, Harry Levine, Ahmed Omran, Hannes Pichler, Soonwon Choi, Alexander S Zibrov, Manuel Endres, Markus Greiner, et al. , “ Probing many-body dynamics on a 51-atom quantum simulator
2017
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Bo Yan, Steven A Moses, Bryce Gadway, Jacob P Covey, Kaden RA Hazzard, Ana Maria Rey, Deborah S Jin, and Jun Ye, “ Observation of dipolar spin-exchange interactions with lattice-confined polar molecules
2013
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R. Islam, C. Senko, W. C. Campbell, S. Korenblit, J. Smith, A. Lee, E. E. Edwards, C.-C. J. Wang, J. K. Freericks, and C. Monroe, “ Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator
2013
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Jens Eisert, Mauritz van den Worm, Salvatore R. Manmana, and Michael Kastner, “ Breakdown of Quasilocality in Long-Range Quantum Lattice Models
2013
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P. Hauke and L. Tagliacozzo, “ Spread of Correlations in Long-Range Interacting Quantum Systems
2013
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Lars Bonnes, Fabian H. L. Essler, and Andreas M. Läuchli, “ “Light-Cone” Dynamics After Quantum Quenches in Spin Chains
2014
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David Damanik, Marius Lemm, Milivoje Lukic, and William Yessen, “ New Anomalous Lieb-Robinson Bounds in Quasiperiodic X Y XY Chains
2014
Cited alongside, same era.
Matthew B. Hastings and Spyridon Michalakis, “ Quantization of Hall Conductance for Interacting Electrons on a Torus
2014
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Jiehang Zhang, Guido Pagano, Paul W Hess, Antonis Kyprianidis, Patrick Becker, Harvey Kaplan, Alexey V Gorshkov, Z-X Gong, and Christopher Monroe, “ Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
2017
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Brian Neyenhuis, Jiehang Zhang, Paul W. Hess, Jacob Smith, Aaron C. Lee, Phil Richerme, Zhe-Xuan Gong, Alexey V. Gorshkov, and Christopher Monroe, “ Observation of prethermalization in long-range interacting spin chains
2017
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Mohammad F. Maghrebi, Zhe-Xuan Gong, and Alexey V. Gorshkov, “ Continuous Symmetry Breaking in 1D Long-Range Interacting Quantum Systems
2017
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Tomotaka Kuwahara, Itai Arad, Luigi Amico, and Vlatko Vedral, “ Local reversibility and entanglement structure of many-body ground states
2017
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Zachary Eldredge, Zhe-Xuan Gong, Jeremy T. Young, Ali Hamed Moosavian, Michael Foss-Feig, and Alexey V. Gorshkov, “ Fast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions
2017
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L Lepori, A Trombettoni, and D Vodola, “ Singular dynamics and emergence of nonlocality in long-range quantum models
2017
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Rajeev Singh, Roderich Moessner, and Dibyendu Roy, “ Effect of long-range hopping and interactions on entanglement dynamics and many-body localization
2017
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Takuro Matsuta, Tohru Koma, and Shu Nakamura, “ Improving the Lieb–Robinson Bound for Long-Range Interactions
2017
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Jean-Sébastien Bernier, Ryan Tan, Lars Bonnes, Chu Guo, Dario Poletti, and Corinna Kollath, “ Light-Cone and Diffusive Propagation of Correlations in a Many-Body Dissipative System
2018
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Jeongwan Haah, Matthew Hastings, Robin Kothari, and Guang Hao Low, “ Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians
2018
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Vedika Khemani, David A. Huse, and Adam Nahum, “ Velocity-dependent Lyapunov exponents in many-body quantum, semiclassical, and classical chaos
2018
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Silvia Pappalardi, Angelo Russomanno, Bojan Žunkovič, Fernando Iemini, Alessandro Silva, and Rosario Fazio, “ Scrambling and entanglement spreading in long-range spin chains
2018
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Vincent Lienhard, Sylvain de Léséleuc, Daniel Barredo, Thierry Lahaye, Antoine Browaeys, Michael Schuler, Louis-Paul Henry, and Andreas M. Läuchli, “ Observing the Space- and Time-Dependent Growth of Correlations in Dynamically Tuned Synthetic Ising Models with Antiferromagnetic Interactions
2018
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Lorenzo Cevolani, Julien Despres, Giuseppe Carleo, Luca Tagliacozzo, and Laurent Sanchez-Palencia, “ Universal scaling laws for correlation spreading in quantum systems with short- and long-range interactions
2018
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X. Deng, V. E. Kravtsov, G. V. Shlyapnikov, and L. Santos, “ Duality in Power-Law Localization in Disordered One-Dimensional Systems
2018
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Wen Wei Ho, Cheryne Jonay, and Timothy H. Hsieh, “ Ultrafast variational simulation of nontrivial quantum states with long-range interactions
2019
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Daniel E. Parker, Xiangyu Cao, Alexander Avdoshkin, Thomas Scaffidi, and Ehud Altman, “ A Universal Operator Growth Hypothesis
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