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Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems

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arxiv 1306.0716 v2 pith:6CWQOP3P submitted 2013-06-04 quant-ph cond-mat.str-elmath-phmath.MP

Martin Kliesch , Christian Gogolin , Jens Eisert This is my paper
classification quant-phcond-mat.str-elmath-phmath.MP
keywords lieb-robinsonsystemsboundsevolutionlocalsimulationstatestime
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This is an introductory text reviewing Lieb-Robinson bounds for open and closed quantum many-body systems. We introduce the Heisenberg picture for time-dependent local Liouvillians and state a Lieb-Robinson bound that gives rise to a maximum speed of propagation of correlations in many body systems of locally interacting spins and fermions. Finally, we discuss a number of important consequences concerning the simulation of time evolution and properties of ground states and stationary states.

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Cited by 1 Pith paper

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    A fixed-depth Trotter protocol makes hardware noise almost endpoint-independent, producing a stationary binomial/Poisson noise channel and an observable-level affine contrast correction for error mitigation.

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