Quantum and Classical Temporal Correlations in (1+1)D Quantum Cellular Automata

Edward Gillman, Federico Carollo, and Igor Lesanovsky
Phys. Rev. Lett. 127, 230502 – Published 1 December 2021
PDFHTMLExport Citation

Abstract

We employ (1+1)-dimensional quantum cellular automata to study the evolution of entanglement and coherence near criticality in quantum systems that display nonequilibrium steady-state phase transitions. This construction permits direct access to the entire space-time structure of the underlying nonequilibrium dynamics, and allows for the analysis of unconventional correlations, such as entanglement in the time direction between the “present” and the “past.” We show how the uniquely quantum part of these correlations—the coherence—can be isolated and that, close to criticality, its dynamics displays a universal power-law behavior on approach to stationarity. Focusing on quantum generalizations of classical nonequilibrium systems: the Domany-Kinzel cellular automaton and the Bagnoli-Boccara-Rechtman model, we estimate the universal critical exponents for both the entanglement and coherence. As these models belong to the one-dimensional directed percolation universality class, the latter provides a key new critical exponent, one that is unique to quantum systems.

  • Figure
  • Figure
  • Received 27 April 2021
  • Accepted 5 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.230502

© 2021 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Edward Gillman1,2, Federico Carollo3, and Igor Lesanovsky1,2,3

  • 1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
  • 2Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, United Kingdom
  • 3Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 127, Iss. 23 — 3 December 2021

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×