Effects of Quantum Coherence on Work Statistics

In the conventional two-point measurement scheme of quantum thermodynamics, quantum coherence is destroyed by the first measurement. But as we know the coherence really plays an important role in the quantum thermodynamics process, and how to describe the work statistics for a quantum coherent proce...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Bao-Ming, Xu, Zou, Jian, Li-Sha, Guo, Xiang-Mu Kong
Format: Article
Language:English
Subjects:
Coherence
Energy levels
Ferromagnetism
High temperature
Ising model
Paramagnetism
Quantum phenomena
Statistics
Thermodynamics
Variations
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Summary:In the conventional two-point measurement scheme of quantum thermodynamics, quantum coherence is destroyed by the first measurement. But as we know the coherence really plays an important role in the quantum thermodynamics process, and how to describe the work statistics for a quantum coherent process is still an open question. In this paper, we use the full counting statistics method to investigate the effects of quantum coherence on work statistics. First, we give a general discussion and show that for a quantum coherent process, work statistics is very different from that of the two-point measurement scheme, specifically the average work is increased or decreased and the work fluctuation can be decreased by quantum coherence, which strongly depends on the relative phase, the energy level structure and the external protocol. Then, we concretely consider a quenched 1-D transverse Ising model, and show that quantum coherence has a more significant influence on work statistics in the ferromagnetism regime compared with that in the paramagnetism regime, so that due to the presence of quantum coherence the work statistics can exhibit the critical phenonmenon even at high temperature.
ISSN:2331-8422
DOI:10.48550/arxiv.1707.09591