Stochastic entropy production for continuous measurements of an open quantum system

  title={Stochastic entropy production for continuous measurements of an open quantum system},
  author={D. Matos and Lev Kantorovich and Ian J. Ford},
  journal={Journal of Physics Communications},
We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system observable, and consequent selection of an eigenstate, whilst the system is also subjected to thermalising environmental noise. The entropy production depends on the evolution of the system variables and their probability density function, and is expressed… 



An autonomous quantum machine to measure the thermodynamic arrow of time

According to the second law of thermodynamics, the evolution of physical systems has a preferred direction, that is characterized by some positive entropy production. Here we propose a direct way to

Efficient choice of colored noise in the stochastic dynamics of open quantum systems.

By numerically optimizing an additional noise scaling freedom, this work identifies the scheme which performs best for the parameters used, improving convergence by orders of magnitude and increasing the time accessible by simulation.

Stochastic entropy production arising from nonstationary thermal transport.

The total stochastic entropy production is expressed in terms of a relaxational or nonadiabatic part together with two components of housekeeping entropy production and the distributions for each are determined, demonstrating the importance of all three contributions for this system.

The role of quantum measurement in stochastic thermodynamics

This article sets up a new formalism to investigate stochastic thermodynamics in the quantum regime, where stochasticity and irreversibility primarily come from quantum measurement. In the absence of

Genuine quantum trajectories for non-Markovian processes

A large class of non-Markovian quantum processes in open systems can be formulated through time-local master equations which are not in Lindblad form. It is shown that such processes can be embedded

Stochastic description of quantum Brownian dynamics

Classical Brownian motion has well been investigated since the pioneering work of Einstein, which inspired mathematicians to lay the theoretical foundation of stochastic processes. A stochastic

Exactly thermalized quantum dynamics of the spin-boson model coupled to a dissipative environment

We present an application of the Extended Stochastic Liouville-von Neumann equations (ESLN) method introduced earlier [PRB 95, 125124 (2017); PRB 97, 224310 (2018)] which describes the dynamics of an

The quantum-state diffusion model applied to open systems

A model of a quantum system interacting with its environment is proposed in which the system is represented by a state vector that satisfies a stochastic differential equation, derived from a density

Entropy production in full phase space for continuous stochastic dynamics.

  • R. SpinneyI. Ford
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2012
The properties of the various contributions to total entropy production are explored through the consideration of two examples: steady-state heat conduction due to a temperature gradient, and transitions between stationary states of drift diffusion on a ring, both in the context of the full phase space dynamics of a single Brownian particle.