Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics

Details Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics

2010-03-18

arxiv.org/abs/1003.3675v1

Phys. Rev. Lett. 104 190401 (2010)

Physics

Quantum Physics

Scientific paper

The Lieb-Robinson bound shows the existence of a maximum speed of signal propagation in discrete quantum mechanical systems with local interactions. This generalizes the concept of relativistic causality beyond field theory, and provides a powerful tool in theoretical condensed matter physics and quantum information science. Here, we extend the scope of this seminal result by considering general Markovian quantum evolution, where we prove that an equivalent bound holds. In addition, we use the generalized bound to demonstrate that correlations in the stationary state of a Markov process decay on a length-scale set by the Lieb-Robinson velocity and the system's relaxation time.

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