Imperial College London
Alternate

DrDavidJennings

Faculty of Natural Sciences, Department of Physics

Research Associate
 
 
 
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Contact

 

+44 (0)20 7594 0971d.jennings Website

 
 
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Location

 

Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Mingo:2019:10.22331/q-2019-11-11-202,
author = {Mingo, EH and Jennings, D},
doi = {10.22331/q-2019-11-11-202},
journal = {Quantum},
pages = {202--202},
title = {Decomposable coherence and quantum fluctuation relations},
url = {http://dx.doi.org/10.22331/q-2019-11-11-202},
volume = {3},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In Newtonian mechanics, any closed-system dynamics of a composite system in a microstate will leave all its individual subsystems in distinct microstates, however this fails dramatically in quantum mechanics due to the existence of quantum entanglement. Here we introduce the notion of a `coherent work process', and show that it is the direct extension of a work process in classical mechanics into quantum theory. This leads to the notion of `decomposable' and `non-decomposable' quantum coherence and gives a new perspective on recent results in the theory of asymmetry as well as early analysis in the theory of classical random variables. Within the context of recent fluctuation relations, originally framed in terms of quantum channels, we show that coherent work processes play the same role as their classical counterparts, and so provide a simple physical primitive for quantum coherence in such systems. We also introduce a pure state effective potential as a tool with which to analyze the coherent component of these fluctuation relations, and which leads to a notion of temperature-dependent mean coherence, provides connections with multi-partite entanglement, and gives a hierarchy of quantum corrections to the classical Crooks relation in powers of inverse temperature.
AU  - Mingo,EH
AU  - Jennings,D
DO  - 10.22331/q-2019-11-11-202
EP  - 202
PY  - 2019///
SN  - 2521-327X
SP  - 202
TI  - Decomposable coherence and quantum fluctuation relations
T2  - Quantum
UR  - http://dx.doi.org/10.22331/q-2019-11-11-202
UR  - https://quantum-journal.org/papers/q-2019-11-11-202/
UR  - http://hdl.handle.net/10044/1/75407
VL  - 3
ER  -
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