Precision and Work Fluctuations in Gaussian Battery Charging

Nicolai Friis; Marcus Huber

doi:10.22331/q-2018-04-23-61

Precision and Work Fluctuations in Gaussian Battery Charging

¹Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria
²Institute for Theoretical Physics, University of Innsbruck, Technikerstraße 21a, 6020 Innsbruck, Austria

Published:	2018-04-23, volume 2, page 61
Eprint:	arXiv:1708.00749v2
Doi:	https://doi.org/10.22331/q-2018-04-23-61
Citation:	Quantum 2, 61 (2018).

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Abstract

One of the most fundamental tasks in quantum thermodynamics is extracting energy from one system and subsequently storing this energy in an appropriate battery. Both of these steps, work extraction and charging, can be viewed as cyclic Hamiltonian processes acting on individual quantum systems. Interestingly, so-called passive states exist, whose energy cannot be lowered by unitary operations, but it is safe to assume that the energy of any not fully charged battery may be increased unitarily. However, unitaries raising the average energy by the same amount may differ in qualities such as their precision, fluctuations, and charging power. Moreover, some unitaries may be extremely difficult to realize in practice. It is hence of crucial importance to understand the qualities that can be expected from practically implementable transformations. Here, we consider the limitations on charging batteries when restricting to the feasibly realizable family of Gaussian unitaries. We derive optimal protocols for general unitary operations as well as for the restriction to easier implementable Gaussian unitaries. We find that practical Gaussian battery charging, while performing significantly less well than is possible in principle, still offers asymptotically vanishing relative charge variances and fluctuations.

► BibTeX data

@article{Friis2018precisionwork,
  doi = {10.22331/q-2018-04-23-61},
  url = {https://doi.org/10.22331/q-2018-04-23-61},
  title = {Precision and {W}ork {F}luctuations in {G}aussian {B}attery {C}harging},
  author = {Friis, Nicolai and Huber, Marcus},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {2},
  pages = {61},
  month = apr,
  year = {2018}
}

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