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Several recent works have derived Lieb-Robinson bounds (LRBs) for Bose-Hubbard-type Hamiltonians.
The finite group velocity of quantum spin systems
Elliott H Lieb and Derek W Robinson · 1972
Earlier work this paper cites.
II: Fourier analysis, self-adjointness
Michael Reed and Barry Simon · 1975
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A Bose-Einstein condensate in an optical lattice
Johannes Hecker Denschlag, Jesse E Simsarian, Hartmut Häffner, C McKenzie, Antoine Browaeys, Donghyun Cho, Kristian Helmerson, Steve L Rolston, and William D Phillips · 2002
Earlier work this paper cites.
Decay of correlations in fermi systems at nonzero temperature
Matthew B Hastings · 2004
Earlier work this paper cites.
Optical lattices, ultracold atoms and quantum information processing
Dieter Jaksch · 2004
Earlier work this paper cites.
Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
Matthew B Hastings and Xiao-Gang Wen · 2005
Earlier work this paper cites.
Lieb-Robinson bounds and the generation of correlations and topological quantum order
Sergey Bravyi, Matthew B Hastings, and Frank Verstraete · 2006
Earlier work this paper cites.
Propagation of correlations in quantum lattice systems
Bruno Nachtergaele, Yoshiko Ogata, and Robert Sims · 2006
Earlier work this paper cites.
Lieb-Robinson bounds and the exponential clustering theorem
Bruno Nachtergaele and Robert Sims · 2006
Earlier work this paper cites.
An area law for one-dimensional quantum systems
Matthew B Hastings · 2007
Earlier work this paper cites.
Quantum belief propagation: An algorithm for thermal quantum systems
Matthew B Hastings · 2007
Earlier work this paper cites.
A multi-dimensional Lieb-Schultz-Mattis theorem
Bruno Nachtergaele and Robert Sims · 2007
Earlier work this paper cites.
Volume of spheres in doubling metric measured spaces and in groups of polynomial growth
Romain Tessera · 2007
Earlier work this paper cites.
Many-body physics with ultracold gases
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger · 2008
Earlier work this paper cites.
Locality of dynamics in general harmonic quantum systems
Marcus Cramer, Alessio Serafini, and Jens Eisert · 2008
Earlier work this paper cites.
Optical lattices
Markus Greiner and Simon Fölling · 2008
Earlier work this paper cites.
Supersonic quantum communication
Jens Eisert and David Gross · 2009
Earlier work this paper cites.
Lieb-robinson bounds for harmonic and anharmonic lattice systems
Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, and Robert Sims · 2009
Earlier work this paper cites.
Lieb-Robinson bounds in quantum many-body physics
Bruno Nachtergaele and Robert Sims · 2010
Earlier work this paper cites.
Time-resolved observation of coherent multi-body interactions in quantum phase revivals
Sebastian Will, Thorsten Best, Ulrich Schneider, Lucia Hackermüller, Dirk-Sören Lühmann, and Immanuel Bloch · 2010
Earlier work this paper cites.
Precision measurements on a tunable mott insulator of ultracold atoms
MJ Mark, Elmar Haller, Katharina Lauber, Johann G Danzl, AJ Daley, and H-C Nägerl · 2011
Earlier work this paper cites.
Information propagation for interacting-particle systems
Norbert Schuch, Sarah K Harrison, Tobias J Osborne, and Jens Eisert · 2011
Earlier work this paper cites.
Quantum simulations with ultracold quantum gases
Immanuel Bloch, Jean Dalibard, and Sylvain Nascimbene · 2012
Cited alongside, same era.
Automorphic equivalence within gapped phases of quantum lattice systems
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele, and Robert Sims · 2012
Cited alongside, same era.
Propagation front of correlations in an interacting Bose gas
Peter Barmettler, Dario Poletti, Marc Cheneau, and Corinna Kollath · 2012
Cited alongside, same era.
Light-cone-like spreading of correlations in a quantum many-body system
Marc Cheneau, Peter Barmettler, Dario Poletti, Manuel Endres, Peter Schauß, Takeshi Fukuhara, Christian Gross, Immanuel Bloch, Corinna Kollath, and Stefan Kuhr · 2012
Cited alongside, same era.
Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems
Maciej Lewenstein, Anna Sanpera, and Veronica Ahufinger · 2012
Cited alongside, same era.
Towards the fast scrambling conjecture
Tightening the Lieb-Robinson bound in locally interacting systems
Zhiyuan Wang and Kaden RA Hazzard · 2020
Later among the works it cites.
Observation of gauge invariance in a 71-site Bose–Hubbard quantum simulator
Bing Yang, Hui Sun, Robert Ott, Han-Yi Wang, Torsten V Zache, Jad C Halimeh, Zhen-Sheng Yuan, Philipp Hauke, and Jian-Wei Pan · 2020
Later among the works it cites.
Maximal speed of quantum propagation
Jack Arbunich, Fabio Pusateri, Israel Michael Sigal, and Avraham Soffer · 2021
Later among the works it cites.
Quantum science with optical tweezer arrays of ultracold atoms and molecules
Adam M Kaufman and Kang-Kuen Ni · 2021
Later among the works it cites.
Absence of fast scrambling in thermodynamically stable long-range interacting systems
Tomotaka Kuwahara and Keiji Saito · 2021
Later among the works it cites.
Lieb-robinson bound and almost-linear light cone in interacting boson systems
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Nima Lashkari, Douglas Stanford, Matthew Hastings, Tobias Osborne, and Patrick Hayden · 2013
Cited alongside, same era.
Lieb-Robinson bounds and the simulation of time-evolution of local observables in lattice systems
Martin Kliesch, Christian Gogolin, and Jens Eisert · 2014
Cited alongside, same era.
Locality of temperature
Martin Kliesch, Christian Gogolin, MJ Kastoryano, Arnau Riera, and Jens Eisert · 2014
Cited alongside, same era.
Elastic multibody interactions on a lattice
DS Petrov · 2014
Cited alongside, same era.
Three-body interacting bosons in free space
DS Petrov · 2014
Cited alongside, same era.
Simulating bosonic baths with error bars
Mischa P Woods, M Cramer, and Martin B Plenio · 2015
Cited alongside, same era.
Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
Christian Gogolin and Jens Eisert · 2016
Cited alongside, same era.
Tomotaka Kuwahara and Keiji Saito · 2021
Later among the works it cites.
Maximal speed of propagation in open quantum systems
Sébastien Breteaux, Jérémy Faupin, Marius Lemm, and Israel Michael Sigal · 2022
Later among the works it cites.
Experimental tests of Lieb-Robinson bounds
Marc Cheneau · 2022
Later among the works it cites.
Maximal speed for macroscopic particle transport in the Bose-Hubbard model
Jérémy Faupin, Marius Lemm, and Israel Michael Sigal · 2022
Later among the works it cites.
On Lieb–Robinson Bounds for the Bose–Hubbard Model
Jérémy Faupin, Marius Lemm, and Israel Michael Sigal · 2022
Later among the works it cites.
Dipolar bose-hubbard model
Ethan Lake, Michael Hermele, and T Senthil · 2022
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On propagation of information in quantum many-body systems
Israel Michael Sigal and Jingxuan Zhang · 2022
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Finite speed of quantum information in models of interacting bosons at finite density
Chao Yin and Andrew Lucas · 2022
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Speed limits and locality in many-body quantum dynamics
Chi-Fang Chen, Andrew Lucas, and Chao Yin · 2023
Later among the works it cites.
Information propagation in long-range quantum many-body systems
Marius Lemm, Carla Rubiliani, Israel Michael Sigal, Jingxuan Zhang, et al · 2023
Later among the works it cites.
Microscopic propagation bounds for long-range bosons
Marius Lemm, Carla Rubiliani, and Jingxuan Zhang · 2023
Later among the works it cites.
Observation of many-body scarring in a Bose-Hubbard quantum simulator
Guo-Xian Su, Hui Sun, Ana Hudomal, Jean-Yves Desaules, Zhao-Yu Zhou, Bing Yang, Jad C Halimeh, Zhen-Sheng Yuan, Zlatko Papić, and Jian-Wei Pan · 2023
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Optimal form of light cones for bosonic transport in long-range systems
Tan Van Vu, Tomotaka Kuwahara, and Keiji Saito · 2023
Later among the works it cites.
Light cones for open quantum systems in the continuum
Sébastien Breteaux, Jérémy Faupin, Marius Lemm, Dong Hao Ou Yang, Israel Michael Sigal, and Jingxuan Zhang · 2024
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On lieb–robinson bounds for a class of continuum fermions
Benjamin Hinrichs, Marius Lemm, and Oliver Siebert · 2024
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Effective light cone and digital quantum simulation of interacting bosons
Tomotaka Kuwahara, Tan Van Vu, and Keiji Saito · 2024
Closest in time.