Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems

• URL: http://arxiv.org/abs/2105.12518v2
• Date: Fri, 4 Feb 2022 11:59:52 GMT
• Title: Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
• Authors: Alessio Belenchia, Mauro Paternostro, Gabriel T. Landi
• Abstract summary: In particular, the degree of irreversibility ensuing from a non-equilibrium process is strongly affected by measurements aimed at acquiring information on the state of a system of interest. We build up a toolbox that fully characterizes the thermodynamics of continuously measured non-equilibrium Gaussian systems and processes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The act of measuring a system has profound consequences of dynamical and thermodynamic nature. In particular, the degree of irreversibility ensuing from a non-equilibrium process is strongly affected by measurements aimed at acquiring information on the state of a system of interest: the conditional and unconditional entropy production, which quantify the degree of irreversibility of the open system's dynamics, are related to each other by clearly interpreted informational quantities. Building on a recently proposed collisional-model framework [G. T. Landi {\it et al.}, arXiv:2103.06247], we investigate the case of continuous-variable information carriers prepared in Gaussian states and undergoing Gaussian processes. We build up a toolbox that fully characterizes the thermodynamics of continuously measured non-equilibrium Gaussian systems and processes, illustrating how the instruments hereby introduced provide key insight into recent experiments on mesoscopic quantum systems [Phys. Rev. Lett, {\bf 125}, 080601 (2020)].

Related papers

• Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
  Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
  arXiv  Detail & Related papers  (2024-08-05T18:00:05Z)
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection [0.7864304771129751]
  We find a universal fluctuation relation that links thermodynamic entropy production and information-theoretical irreversibility along single trajectories in inefficient monitoring setups. We illustrate our findings with a driven-dissipative two-level system following quantum jump trajectories and discuss the experimental applicability of our results for thermodynamic inference.
  arXiv  Detail & Related papers  (2023-08-16T16:47:21Z)
• Non-equilibrium quantum probing through linear response [41.94295877935867]
  We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment. We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
  arXiv  Detail & Related papers  (2023-06-14T13:31:23Z)
• Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems [77.34726150561087]
  We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix. We compare our results with earlier results for a local unitary transformation.
  arXiv  Detail & Related papers  (2023-04-04T09:28:19Z)
• Ensemble dependence of information-theoretic contributions to the entropy production [0.0]
  entropy production of an open system coupled to a reservoir in a canonical state can be expressed as a sum of two microscopic information-theoretic contributions. We show that while in such a case the entropy production can still be expressed as a sum of the mutual information between the system and the bath, the relative weight of those contributions depends on the initial state of the reservoir.
  arXiv  Detail & Related papers  (2023-01-30T17:03:31Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Structure-Preserving Learning Using Gaussian Processes and Variational Integrators [62.31425348954686]
  We propose the combination of a variational integrator for the nominal dynamics of a mechanical system and learning residual dynamics with Gaussian process regression. We extend our approach to systems with known kinematic constraints and provide formal bounds on the prediction uncertainty.
  arXiv  Detail & Related papers  (2021-12-10T11:09:29Z)
• Informational steady-states and conditional entropy production in continuously monitored systems [0.0]
  We put forth a unifying formalism for the description of the thermodynamics of continuously monitored systems. We show, in particular, that the conditional and unconditional entropy production, are related to each other by the Holevo quantity.
  arXiv  Detail & Related papers  (2021-03-10T18:28:09Z)
• Entropic bounds on information backflow [0.0]
  We exploit a regularized version of Umegaki's quantum relative entropy, known as telescopic relative entropy, that is tightly connected to the quantum Jensen-Shannon divergence. We derive general upper bounds on the telescopic relative entropy revivals conditioned and determined by the formation of correlations and changes in the environment.
  arXiv  Detail & Related papers  (2021-01-07T19:00:30Z)
• Experimental assessment of entropy production in a continuously measured mechanical resonator [0.0]
  We report on the experimental inference of the entropy production rate for a continuously monitored mesoscopic quantum system. Our experiment embodies a significant step towards the demonstration of full-scale control of fundamental thermodynamic processes at the mesoscopic quantum scale.
  arXiv  Detail & Related papers  (2020-05-07T13:01:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.