Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session L50: Dynamics - Many Body Theory
8:00 AM–11:00 AM,
Wednesday, March 4, 2020
Room: Mile High Ballroom 1C
Sponsoring Unit: DCMP
Chair: Hossein Dehghani, University of Maryland, College Park
Abstract: L50.00006 : Hamiltonian dynamics of a sum of interacting random matrices*
View Presentation Abstract
We compute exact dynamical correlators governed by a Hamiltonian composed of two large interacting random matrices, H=A+B.
We analytically obtain the late-time value of〈A(t)A(0)〉; this quantifies the non-relaxing part of the observable A.
The relaxation to this value is governed by a power-law determined by the spectrum of the Hamiltonian H, independent of the observable A.
For Gaussian matrices, we further compute out-of-time-ordered-correlators (OTOCs) and find that the existence of a non-relaxing part of A leads to modifications of the late time values and exponents.
Our results follow from exact resummation of a diagrammatic expansion and hyperoperator techniques.
*The authors acknowledge support from the NSF through grant PHY-1752727.
This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611, and at the Galileo Galilei Institute in Florence.
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