A brief introduction to observational entropy
- URL: http://arxiv.org/abs/2008.04409v2
- Date: Wed, 27 Oct 2021 07:37:24 GMT
- Title: A brief introduction to observational entropy
- Authors: Dominik \v{S}afr\'anek, Anthony Aguirre, Joseph Schindler, J. M.
Deutsch
- Abstract summary: observational entropy has been developed as a quantum generalization of Boltzmann entropy.
This paper reviews the construction, interpretation, most important properties, and some applications of this framework.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In the past several years, observational entropy has been developed as both a
(time-dependent) quantum generalization of Boltzmann entropy, and as a rather
general framework to encompass classical and quantum equilibrium and
non-equilibrium coarse-grained entropy. In this paper we review the
construction, interpretation, most important properties, and some applications
of this framework. The treatment is self-contained and relatively pedagogical,
aimed at a broad class of researchers.
Related papers
- Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories.
We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
arXiv Detail & Related papers (2024-02-19T19:00:02Z) - Measuring entanglement entropy and its topological signature for
phononic systems [21.355338659414624]
Entanglement entropy provides insight into the collective degrees of freedom that underlie the systems' complex behaviours.
We report the experimental verification of the predictions by probing the nonlocal correlations in phononic systems.
The progress here opens a frontier where entanglement entropy serves as an important experimental tool in the study of emergent phases and phase transitions.
arXiv Detail & Related papers (2023-12-14T03:30:58Z) - Independent-oscillator model and the quantum Langevin equation for an oscillator: A review [19.372542786476803]
A derivation of the quantum Langevin equation is outlined based on the microscopic model of the heat bath.
In the steady state, we analyze the quantum counterpart of energy equipartition theorem.
The free energy, entropy, specific heat, and third law of thermodynamics are discussed for one-dimensional quantum Brownian motion.
arXiv Detail & Related papers (2023-06-05T07:59:35Z) - Krylov complexity in quantum field theory, and beyond [44.99833362998488]
We study Krylov complexity in various models of quantum field theory.
We find that the exponential growth of Krylov complexity satisfies the conjectural inequality, which generalizes the Maldacena-Shenker-Stanford bound on chaos.
arXiv Detail & Related papers (2022-12-29T19:00:00Z) - Observational entropic study of Anderson localization [0.0]
We study the behaviour of the observational entropy in the context of localization-delocalization transition for one-dimensional Aubrey-Andr'e model.
For a given coarse-graining, it increases logarithmically with system size in the delocalized phase, and obeys area law in the localized phase.
We also find the increase of the observational entropy followed by the quantum quench, is logarithmic in time in the delocalized phase as well as at the transition point, while in the localized phase it oscillates.
arXiv Detail & Related papers (2022-09-21T11:26:43Z) - Observational entropy, coarse quantum states, and Petz recovery:
information-theoretic properties and bounds [1.7205106391379026]
We study the mathematical properties of observational entropy from an information-theoretic viewpoint.
We present new bounds on observational entropy applying in general, as well as bounds and identities related to sequential and post-processed measurements.
arXiv Detail & Related papers (2022-09-08T13:22:15Z) - Quantum thermodynamics under continuous monitoring: a general framework [0.0]
We provide an introduction to the general theoretical framework to establish and interpret thermodynamics for quantum systems.
Main quantities such as work, heat, and entropy production can be defined at the level of thermodynamics.
The connection to irreversibility and fluctuation theorems is also discussed, together with some recent developments.
arXiv Detail & Related papers (2021-12-03T17:02:53Z) - Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space.
We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
arXiv Detail & Related papers (2021-07-02T09:17:55Z) - Generalized-Hydrodynamic approach to Inhomogeneous Quenches:
Correlations, Entanglement and Quantum Effects [0.0]
We give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems.
We report on exact results that have been obtained for generic time-dependent correlation functions and entanglement evolution.
arXiv Detail & Related papers (2021-04-01T17:51:27Z) - Basics of observational entropy [0.0]
POVM is a general framework for applying the concept of coarse-graining to quantum systems.
We review the basic formalism, survey applications to thermodynamics, make a connection to quantum correlations and entanglement entropy, compare to the corresponding classical theory, and discuss a generalization based on POVM measurements.
arXiv Detail & Related papers (2020-09-30T23:09:33Z) - Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
We review a number of issues in foundations of quantum theory and quantum cosmology.
These issues can be considered as a part of the scientific legacy of H.D. Zeh.
arXiv Detail & Related papers (2020-06-28T18:07:59Z)
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.