Thermodynamics of Gambling Demons.

@article{Manzano2020ThermodynamicsOG,
  title={Thermodynamics of Gambling Demons.},
  author={Gonzalo Manzano and Diego Subero and Olivier Maillet and Rosario Fazio and Jukka P. Pekola and {\'E}dgar Rold{\'a}n},
  journal={Physical review letters},
  year={2020},
  volume={126 8},
  pages={
          080603
        }
}
We introduce and realize demons that follow a customary gambling strategy to stop a nonequilibrium process at stochastic times. We derive second-law-like inequalities for the average work done in the presence of gambling, and universal stopping-time fluctuation relations for classical and quantum nonstationary stochastic processes. We test experimentally our results in a single-electron box, where an electrostatic potential drives the dynamics of individual electrons tunneling into a metallic… 
View on PubMed
research.aalto.fi
22 Citations
Background Citations
5
Methods Citations
2

Figures from this paper

22 Citations

Fluctuations of Heat in Driven Two-State Systems: Application to Single-Electron Box with Superconducting Gap

We use trajectory averaging to show that the energy dissipated in the nonequilibrium energy-state transitions of a driven two-state system satisfies a fluctuation-dissipation relation. This connection…

Semi-Markov processes in open quantum systems: Connections and applications in counting statistics.

  • Fei Liu
  • Physics
    Physical review. E
  • 2022
Using the age-structure formalism, we definitely establish connections between semi-Markov processes and the dynamics of open quantum systems that satisfy the Markov quantum master equations. A…

Extreme value statistics of edge currents in Markov jump processes and their use for entropy production estimation

The infimum of an integrated current is its extreme value against the direction of its average flow. Using martingale theory, we show that the infima of integrated edge currents in time-homogeneous…

A quantum fluctuation theorem for dissipative processes

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when…

Inclusive Thermodynamics of Computational Machines

The Myhill-Nerode theorem of computer science is used to prove that out of all DFAs which recognize the same language, the “minimal complexity DFA” is the one with minimal EP for all dynamics and at all iterations.

Incoherent control of two-photon induced optical measurements in open quantum systems: Quantum heat engine perspective

We present a consistent optimization procedure for the optical measurements in open quantum systems using recently developed incoherent control protocol. Assigning an effective hot bath for the…

Spin Quantum Heat Engine Quantified by Quantum Steering.

Following the rising interest in quantum information science, the extension of a heat engine to the quantum regime by exploring microscopic quantum systems has seen a boon of interest in the last…

Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines.

We derive universal bounds for the finite-time survival probability of the stochastic work extracted in steady-state heat engines and the stochastic heat dissipated to the environment. We also find…

Quantum Maxwell's demon assisted by non-Markovian effects.

Maxwell's demon is the quintessential example of information control, which is necessary for designing quantum devices. In thermodynamics, the demon is an intelligent being who utilizes the entropic…

Thermodynamic uncertainty relation for quantum first-passage processes.

We derive a thermodynamic uncertainty relation for first passage processes in quantum Markov chains. We consider first passage processes that stop after a fixed number of jump events, which contrasts…

References

SHOWING 1-10 OF 39 REFERENCES

Probability with Martingales by David Williams

Stochastic processes

Maxwell's demon 2: entropy, classical and quantum information, computing

OVERVIEW Introduction. The Demon and Its Properties. Szilard's Model: Entropy and Information Acquisition Information Acquisition via Light Signals: A Temporary Resolution Computers and Erasure of…

Quantum Measurement and Control: Frontmatter

Measure Theory

Second Law-Like Inequalities with Quantum Relative Entropy: An Introduction

We review the fundamental properties of the quantum relative entropy for finite-dimensional Hilbert spaces. In particular, we focus on several inequalities that are related to the second law of…

New J

  • Phys. 15, 085028
  • 2013

Nature Phys

  • 15, 660
  • 2019

Phys

  • Rev. Lett. 104, 090602
  • 2010

Introduction to mathematical finance (Blackwell publishers

  • 1997