Accession Number:

AD1003491

Title:

Non-Local Propagation of Correlations in Quantum Systems with Long-Range Interactions

Descriptive Note:

Journal Article

Corporate Author:

University of Maryland College Park United States

Personal Author(s):

• Richerme,Philip
• Gong,Zhe-Xuan
• Lee,Aaron
• Senko,Crystal
• Smith,Jacob
• Foss-Feig,Michael
• Michalakis,Spyridon
• Gorshkov,Alexey V.
• Monroe,Christopher

Report Date:

2014-07-10

Pagination or Media Count:

8.0

Abstract:

The maximum speed with which information can propagate in a quantum many-body system directly affects how quickly disparate parts of the system can become correlated and how difficult the system will be to describe numerically. For systems with only short-range interactions, Lieb and Robinson derived a constant-velocity bound that limits correlations to within a linear effective light cone. However, little is known about the propagation speed in systems with long-range interactions, because analytic solutions rarely exist and because the best long-range bound is too loose to accurately describe the relevant dynamical time scales for any known spin model. Here we apply a variable-range Ising spin chain Hamiltonian and a variable-range XY spin chain Hamiltonian to a far-from-equilibrium quantum many-body system and observe its time evolution. For several different interaction ranges, we determine the spatial and time-dependent correlations, extract the shape of the light cone and measure the velocity with which correlations propagate through the system. This work opens the possibility for studying a wide range of many-body dynamics in quantum systems that are otherwise intractable.

Descriptors:

• information transfer
• interactions
• velocity
• Hamiltonian functions
• quantum information

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE