Henrik WilmingSep 20, 2023

Happy our paper on reviving product states in the disordered Heisenberg model has finally been published in Nat. Comms. @Nature

https://www.nature.com/articles/s41467-023-41464-7

We show that the paradigmatic model for many-body localization hosts product state that show periodic high-fidelity revivals and local observables that oscillate indefinitely. The system neither equilibrates nor thermalizes.

#manybodyphysics #manybodylocalization #nonequilibriumdynamics
#TensorNetworks

Reviving product states in the disordered Heisenberg chain - Nature Communications

Many-body localized systems are believed to reach a stationary state without thermalizing. By using analytical and numerical calculations, the authors construct simple initial states for a typical MBL model, which neither equilibrate nor thermalize, similar to non-ergodic behavior in many-body scarred systems.

Nature
Show threadJens EisertJan 6, 2023
Quasi-local integrals of motion are a key concept underpinning the modern understanding of #manybodylocalization, an intriguing phenomenon in which interactions and disorder come together. Despite the existence of several numerical ways to compute them - and astoundingly in the light of the observation that much of the phenomenology of many properties can be derived from them - it is not obvious how to directly measure aspects of them in real #quantumsimulations.
Jens EisertJan 6, 2023

Happy new year. We identify an #entanglement-based way to map out the quasi-local integrals of motion in #manybodylocalization as accessible in #quantumsimulators, to assist in providing a "smoking gun" for the existence of these quantities governing the phenomenology.

https://scirate.com/arxiv/2301.01787

Measuring out quasi-local integrals of motion from entanglement

Quasi-local integrals of motion are a key concept underpinning the modern understanding of many-body localisation, an intriguing phenomenon in which interactions and disorder come together. Despite the existence of several numerical ways to compute them - and astoundingly in the light of the observation that much of the phenomenology of many properties can be derived from them - it is not obvious how to directly measure aspects of them in real quantum simulations; in fact, the smoking gun of their experimental observation is arguably still missing. In this work, we propose a way to extract the real-space properties of such quasi-local integrals of motion based on a spatially-resolved entanglement probe able to distinguish Anderson from many-body localisation from non-equilibrium dynamics. We complement these findings with a new rigorous entanglement bound and compute the relevant quantities using tensor networks. We demonstrate that the entanglement gives rise to a well-defined length scale that can be measured in experiments.

SciRate