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We prove Lieb-Robinson bounds and the existence of the thermodynamic limit for a general class of irreversible dynamics for quantum lattice systems with time-dependent generators that satisfy a suitable decay condition in space.
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B. Nachtergaele and R. Sims, Lieb-Robinson bounds and the exponential clustering theorem , Commun. Math. Phys. 265
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E. Hamza, S. Michalakis, B. Nachtergaele, and R. Sims, Approximating the ground state of gapped quantum spin systems , J. Math. Phys. 50
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V. Paulsen, Completely Bounded Maps and Operator Algebras , Cambridge University Press, 2002
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M. B. Hastings, Lieb-Schultz-Mattis in higher dimensions , Phys. Rev. B 69
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by same author, Locality in Quantum and Markov Dynamics on Lattices and Networks , Phys. Rev. Lett. 93
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M. B. Hastings and T. Koma, Spectral gap and exponential decay of correlations , Commun. Math. Phys. 265
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2009
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Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators
L. Amour, P. Levy-Bruhl, and J. Nourrigat · 2010
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2010
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2010
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Lieb-Robinson bound and locality for general Markovian quantum dynamics
D. Poulin · 2010
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