Compare Papers

Paper 1

Achieve higher efficiency at maximum power with finite-time quantum Otto cycle

Jin-Fu Chen, Chang-Pu Sun, Hui Dong

Year

2019

Journal

Physical Review E

DOI

10.1103/physreve.100.062140

arXiv

-

No abstract.

Open paper

Paper 2

Quantum Dynamics: A Dilation-Based Approach

Caleb A. Mickelson

Year

2026

Journal

arXiv preprint

DOI

arXiv:2605.04096

arXiv

2605.04096

In the study of open quantum systems, one commonly describes the evolution of a system of interest through reduced dynamics, obtained by treating the environment indirectly rather than as a part of the full model. This thesis presents an expository account of an alternative, dilation-based viewpoint in the finite-dimensional setting, where a family of reduced dynamics is represented through unitary evolution on a larger system consisting of the original system together with an ancillary environment. After reviewing the reduced-dynamics perspective and the language of quantum channels, we formulate finite-dimensional quantum dynamics as channel-valued dynamical curves and use this framework to discuss Stinespring dilations of such curves. We then present exact dilation results for analytic dynamical curves, explain the singular behavior that can arise at t=0, and describe approximation results showing that Lipschitz-continuous dynamical curves admit approximate finite-dimensional Stinespring dilations. The thesis therefore provides a mathematically focused introduction to dilation-based modeling of quantum dynamics and argues that a change of perspective can lead to new ways of formulating problems in the theory of open quantum systems.

Open paper