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Proceedings Paper

Absence of local energy in elementary spin systems at low temperature
Author(s): Michael R. Frey
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Paper Abstract

Local energy in a component of a multipartite quantum system is the maximum energy that can be extracted by a general (Kraus, operator-sum) local operation on just that component. A component’s local energy is greater or less, or even completely absent, depending on extant correlations with the system’s other components. This is illustrated in different cases of quantum systems of spin-1/2 particles. These cases include a class of two-particle systems with different degrees of coupling anisotropy, three-particle systems, and systems of N particles, generally, with ring and star coupling topologies. Conditions are given in each case for zero local energy. Th3ese conditions establish for each case that, fir systems with a non-degenerate entangled ground state, local energy is absent when the system state is anywhere in a neighborhood of the ground state when the temperature is below critical value in a Gibbs thermal state even systems of many particles.

Paper Details

Date Published: 22 May 2014
PDF: 16 pages
Proc. SPIE 9123, Quantum Information and Computation XII, 91230M (22 May 2014); doi: 10.1117/12.2050475
Show Author Affiliations
Michael R. Frey, Bucknell Univ. (United States)

Published in SPIE Proceedings Vol. 9123:
Quantum Information and Computation XII
Eric Donkor; Andrew R. Pirich; Howard E. Brandt; Michael R. Frey; Samuel J. Lomonaco; John M. Myers, Editor(s)

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