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Trapped Ion Quantum Computing

Local effective dynamics of quantum systems: A generalized approach to work and heat

arXiv

Authors: Hendrik Weimer, Markus J. Henrich, Florian Rempp, Heiko Schröder, Günter Mahler

Year

2007

Paper ID

49338

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

By computing the local energy expectation values with respect to some local measurement basis we show that for any quantum system there are two fundamentally different contributions: changes in energy that do not alter the local von Neumann entropy and changes that do. We identify the former as work and the latter as heat. Since our derivation makes no assumptions on the system Hamiltonian or its state, the result is valid even for states arbitrarily far from equilibrium. Examples are discussed ranging from the classical limit to purely quantum mechanical scenarios, i.e. where the Hamiltonian and the density operator do not commute.

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By computing the local energy expectation values with respect to some local measurement basis we show that for any quantum system there are two fundamentally different...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.2354 [2] arXiv https://arxiv.org/abs/0708.2354 [3] Publisher https://arxiv.org/abs/0708.2354

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