Absence of local energy in elementary spin systems at low temperature

Michael R. Frey

doi:10.1117/12.2050475

22 May 2014 Absence of local energy in elementary spin systems at low temperature

Michael R. Frey

Proceedings Volume 9123, Quantum Information and Computation XII; 91230M (2014) https://doi.org/10.1117/12.2050475
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

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.

Citation Download Citation

Michael R. Frey "Absence of local energy in elementary spin systems at low temperature", Proc. SPIE 9123, Quantum Information and Computation XII, 91230M (22 May 2014); https://doi.org/10.1117/12.2050475

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