Entanglement propagation and typicality of measurements in the quantum Kac ring

Journal Article · Mon Sep 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.05.019· OSTI ID:22403396

Homrighausen, Ingo; Kehrein, Stefan

We study the time evolution of entanglement in a new quantum version of the Kac ring, where two spin chains become dynamically entangled by quantum gates, which are used instead of the classical markers. The features of the entanglement evolution are best understood by using knowledge about the behavior of an ensemble of classical Kac rings. For instance, the recurrence time of the quantum many-body system is twice the length of the chain and “thermalization” only occurs on time scales much smaller than the dimension of the Hilbert space. The model thus elucidates the relation between the results of measurements in quantum and classical systems: While in classical systems repeated measurements are performed over an ensemble of systems, the corresponding result is obtained by measuring the same quantum system prepared in an appropriate superposition repeatedly.

• OSTI ID: 22403396
• Journal Information: Annals of Physics (New York), Vol. 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENTROPY
HILBERT SPACE
MANY-BODY PROBLEM
MATHEMATICAL EVOLUTION
MEASURING METHODS
QUANTUM ENTANGLEMENT
QUANTUM SYSTEMS
RINGS
SPIN