Abstract
Starting from a product initial state, equal-time correlations in nonrelativistic quantum lattice models propagate within a light cone-like causal region. The presence of entanglement in the initial state can modify this behaviour, enhancing and accelerating the growth of correlations. In this paper we give a quantitative description, in the form of Lieb-Robinson-type bounds on equal-time correlation functions, of the interplay of dynamics versus. initial entanglement in quantum lattice models out of equilibrium. The bounds are tested against model calculations, and applications to quantum quenches, quantum channels, and Kondo physics are discussed.
Highlights
Correlations are a quantity of great importance in statistical and condensed matter physics, and they represent an essential resource in quantum information science
The main result (22–24) is an upper bound on the connected correlation function, containing a Lieb-Robinson-type contribution capturing the dynamics, and a second term that takes into account initial correlations
Depending on the amount and shape of initial correlations, the bound is able to capture the extremes of product initial states on the one side and longdistance-entangled initial states on the other side, as well as the more involved cases in between, where the interplay of dynamics and initial entanglement leads to nontrivial propagation patterns
Summary
ACCEPTED FOR PUBLICATION Keywords: entanglement, correlations, lattice models, nonequilibrium, Lieb-Robinson bounds
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