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We prove that quantum information propagates with a finite velocity in any model of interacting bosons whose (possibly time-dependent) Hamiltonian contains spatially local single-boson hopping terms along with arbitrary local density-dependent interactions.
1906
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2018
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2018
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Norbert Schuch, Sarah K. Harrison, Tobias J. Osborne, and Jens Eisert, “Information propagation for interacting-particle systems,” Phys. Rev. A 84
2011
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Scott Aaronson and Alex Arkhipov, “The computational complexity of linear optics,” in Proceedings of the Forty-Third Annual ACM Symposium on Theory of Computing (ACM Press, New York, New York, USA, 2011) p. 333
2011
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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,” Nature 484
2012
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2012
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2012
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2013
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Fernando GSL Brandão and Michał Horodecki, “An area law for entanglement from exponential decay of correlations,” Nature physics 9
2013
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2019
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Minh C. Tran, Andrew Y. Guo, Yuan Su, James R. Garrison, Zachary Eldredge, Michael Foss-Feig, Andrew M. Childs, and Alexey V. Gorshkov, “Locality and digital quantum simulation of power-law interactions,” Physical Review X 9
2019
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2019
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Andrew Lucas, “Operator size at finite temperature and planckian bounds on quantum dynamics,” Phys. Rev. Lett. 122
2019
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Zhiyuan Wang and Kaden R.A. Hazzard, “Tightening the lieb-robinson bound in locally interacting systems,” PRX Quantum 1
2020
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Dominic V. Else, Francisco Machado, Chetan Nayak, and Norman Y. Yao, “Improved lieb-robinson bound for many-body hamiltonians with power-law interactions,” Phys. Rev. A 101
2020
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Andrew Y. Guo, Minh C. Tran, Andrew M. Childs, Alexey V. Gorshkov, and Zhe-Xuan Gong, “Signaling and scrambling with strongly long-range interactions,” Phys. Rev. A 102
2020
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Andrew Lucas and Andrew Osborne, “Operator growth bounds in a cartoon matrix model,” Journal of Mathematical Physics 61
2020
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Yosuke Takasu, Tomoya Yagami, Hiroto Asaka, Yoshiaki Fukushima, Kazuma Nagao, Shimpei Goto, Ippei Danshita, and Yoshiro Takahashi, “Energy redistribution and spatiotemporal evolution of correlations after a sudden quench of the bose-hubbard model,” Science Advances 6
2020
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J. A. Muniz, D. Barbarena, R. J. Lewis-Swan, D. J. Young, J. R. K. Cline, A. M. Rey, and J. K. Thompson, “Exploring dynamical phase transitions with cold atoms in an optical cavity,” Nature 580
2020
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Connie H. Mousatov and Sean A. Hartnoll, “On the planckian bound for heat diffusion in insulators,” Nature Physics 16
2020
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2021
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Minh C. Tran, Andrew Y. Guo, Christopher L. Baldwin, Adam Ehrenberg, Alexey V. Gorshkov, and Andrew Lucas, “Lieb-robinson light cone for power-law interactions,” Phys. Rev. Lett. 127
2021
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Ali Mokhtari-Jazi, Matthew R. C. Fitzpatrick, and Malcolm P. Kennett, “Phase and group velocities for correlation spreading in the mott phase of the bose-hubbard model in dimensions greater than one,” Phys. Rev. A 103
2021
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