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복잡계 이론물리 연구단
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Quantum fluctuation theorems and power measurements

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Title
Quantum fluctuation theorems and power measurements
Author(s)
B Prasanna Venkatesh; Gentaro Watanabe; Peter Talkner
Publication Date
2015-08
Journal
NEW JOURNAL OF PHYSICS, v.17, no., pp.075018 -
Publisher
IOP PUBLISHING LTD
Abstract
Work in the paradigm of the quantum fluctuation theorems of Crooks and Jarzynski is determined by projective measurements of energy at the beginning and end of the force protocol. In analogy to classical systems, we consider an alternative definition of work given by the integral of the supplied power determined by integrating up the results of repeated measurements of the instantaneous power during the force protocol.Weobserve that such a definition of work, in spite of taking account of the process dependence, has different possible values and statistics from the work determined by the conventional two energy measurement approach (TEMA). In the limit of many projective measurements of power, the system’s dynamics is frozen in the power measurement basis due to the quantum Zeno effect leading to statistics only trivially dependent on the force protocol. In general the Jarzynski relation is not satisfied except for the case when the instantaneous power operator commutes with the total Hamiltonian at all times.Wealso consider properties of the joint statistics of powerbased definition of work andTEMAwork in protocols where both values are determined. This allows us to quantify their correlations. Relaxing the projective measurement condition, weak continuous measurements of power are considered within the stochastic master equation formalism. Even in this scenario the power-based work statistics is in general not able to reproduce qualitative features of the TEMAwork statistics.
URI
http://pr.ibs.re.kr/handle/8788114/1724
DOI
doi:10.1088/1367-2630/17/7/075018
ISSN
1367-2630
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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