Entanglement-enhanced spreading of correlations

Abstract

Starting from a product initial state, equal-time correlations in nonrelativistic quantum lattice models propagate within a lightcone-like causal region. The presence of entanglement in the initial state can modify this behavior, 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 vs. initial entanglement in quantum lattice models out of equilibrium. We test the bounds against model calculations, and also discuss applications to quantum quenches, quantum channels, and Kondo physics.

15 pages, 4 figures

References in corpus (6)

• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Propagation of Correlations in Quantum Lattice Systems
• Nearly-linear light cones in long-range interacting quantum systems
• Long-distance entanglement in spin systems
• Qubit Teleportation and Transfer across Antiferromagnetic Spin Chains
• New Anomalous Lieb-Robinson Bounds in Quasi-Periodic XY Chains

Cited by in corpus (16)

• Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
• Long-range topological insulators and weakened bulk-boundary correspondence
• Effective Theory and Breakdown of Conformal Symmetry in a Long-Range Quantum Chain
• Violation of Cluster Decomposition and Absence of Light-Cones in Local Integer and Half-Integer Spin Chains
• Singular dynamics and emergence of nonlocality in long-range quantum models
• Lieb-Robinson bounds for open quantum systems with long-ranged interactions
• Lieb-Robinson bounds on $n$-partite connected correlation functions
• $N$-Scaling of Timescales in Long-Range $N$-Body Quantum Systems
• Probing unitary two-time correlations in a neutral atom quantum simulator
• Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
• Spreading of correlations in a quenched repulsive and attractive one dimensional lattice system
• Tensor network variational optimizations for real-time dynamics: application to the time-evolution of spin liquids
• Exotic correlation spread in free-fermionic states with initial patterns
• Entanglement dynamics in dissipative photonic Mott insulators
• Bounding entanglement spreading after a local quench
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench