• Corpus ID: 249191764

Demon driven by geometrical phase

  title={Demon driven by geometrical phase},
  author={Ryoske Yoshii and Hisao Hayakawa},
We theoretically study an entropy production and a work extracted from a system connected to two reservoirs by periodic modulations of chemical potentials of the reservoirs and one parameter in the system Hamiltonian under an isothermal condition. We find that the modulation of parameters can drive a geometrical state, which is away from a nonequilibrium steady state. With the aid of this property, we construct a demon in which the relative entropy increases with time and we can extract the work… 

Figures from this paper



Geometrical Excess Entropy Production in Nonequilibrium Quantum Systems

For open systems described by the quantum Markovian master equation, we study a possible extension of the Clausius equality to quasistatic operations between nonequilibrium steady states (NESSs). We

Full Counting Statistics and Fluctuation–Dissipation Relation for Periodically Driven Two-State Systems

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both

Steady-state thermodynamics of Langevin systems.

L Langevin dynamics describing nonequilibirum steady states is studied, finding that the extended form of the second law which they proposed holds for transitions between steady states and that the Shannon entropy difference is related to the excess heat produced in an infinitely slow operation.

Fluctuation relations for adiabatic pumping.

We derive an extended fluctuation relation for an open system coupled with two reservoirs under adiabatic one-cycle modulation. We confirm that the geometrical phase caused by the

Experimental observation of the role of mutual information in the nonequilibrium dynamics of a Maxwell demon.

These measurements provide the first evidence of the role of mutual information in the fluctuation theorem and thermodynamics of irreversible processes.

Geometrical expression of excess entropy production.

  • T. SagawaH. Hayakawa
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
A geometrical expression of the excess entropy production for quasistatic transitions between nonequilibrium steady states of Markovian jump processes is derived, implying that vector potentials are needed to construct the thermodynamics of nonequ equilibrium steady states.

The Berry phase and the pump flux in stochastic chemical kinetics

A novel general method is introduced and used to derive the expression for the full counting statistics of transitions among the absorbing states of a classical two-state stochastic system in a sea of substrates and products.

Geometrical pumping in quantum transport: Quantum master equation approach

For an open quantum system, we investigate the pumped current induced by a slow modulation of control parameters on the basis of the quantum master equation and full counting statistics. We find that

Berry-phase-induced heat pumping and its impact on the fluctuation theorem.

It is demonstrated that the pumped heat typically exhibits a Berry-phase effect in providing an additional geometric contribution to heat flux, which causes a breakdown of the fluctuation theorem of the Gallavotti-Cohen type for quantum heat transfer.

Quantization of particle transport

The integrated particle current produced by a slow periodic variation of the potential of a Schr\"odinger equation is evaluated. It is shown that in a finite torus the integral of the current over a