Experimental study on the principle of minimal work fluctuations
- URL: http://arxiv.org/abs/2310.14461v1
- Date: Mon, 23 Oct 2023 00:04:37 GMT
- Title: Experimental study on the principle of minimal work fluctuations
- Authors: Wei Cheng, Wenquan Liu, Yang Wu, Zhibo Niu, Chang-Kui Duan, Jiangbin
Gong, Xing Rong, Jiangfeng Du
- Abstract summary: The central quantity in the celebrated quantum Jarzynski equality is $e-beta W$.
It is observed that adiabatic processes minimize the variance of $e-beta W$.
shortcuts-to-adiabaticity control can be exploited to minimize the variance of $e-beta W$ in fast work protocols.
- Score: 15.669403441393383
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The central quantity in the celebrated quantum Jarzynski equality is
$e^{-\beta W}$, where $W$ is work and $\beta$ is the inverse temperature. The
impact of quantum randomness on the fluctuations of $e^{-\beta W}$ and hence on
the predictive power of the Jarzynski estimator is an important problem.
Working on a single nitrogen-vacancy center in diamond and riding on an
implementation of two-point measurement of non-equilibrium work with
single-shot readout, we have conducted a direct experimental investigation of
the relationship between the fluctuations of $e^{-\beta W}$ and adiabaticity of
non-equilibrium work protocols. It is observed that adiabatic processes
minimize the variance of $e^{-\beta W}$, thus verifying an early theoretical
concept, the so-called principle of minimal work fluctuations. Furthermore, it
is experimentally demonstrated that shortcuts-to-adiabaticity control can be
exploited to minimize the variance of $e^{-\beta W}$ in fast work protocols.
Our work should stimulate further experimental studies of quantum effects on
the bias and error in the estimates of free energy differences based on the
Jarzynski equality.
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