| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Quantum fluctuation theorems and power measurements | B. Prasanna Venkatesh
; Gentaro Watanabe
; Peter Talkner
; | Date: |
11 Mar 2015 | Abstract: | Work in the paradigm of 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 alternate
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. We observe 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 except for the case when the instantaneous power operator commutes
with the total Hamiltonian at all times. We also consider properties of the
joint statistics of power-based definition of work and TEMA work 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 TEMA work statistics. | Source: | arXiv, 1503.3228 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |