State space distribution and dynamical flow for closed and open quantum systems
Name
1805.09756.pdf
Description
Submitted version
Size
1.69 MB
Format
Adobe PDF
Checksum (MD5)
3068d91c70b95d03c5016b2070910af4
Author(s)
Dodin, Amro
Willard, Adam P.
Date Issued
April 2019
Journal
The Journal of chemical physics
Publisher
AIP Publishing
Citation
Dodin, Amro and Adam P. Willard. “State space distribution and dynamical flow for closed and open quantum systems.” The Journal of chemical physics 15 (2019): 064106.
Version
Original manuscript
Abstract
We present a general formalism for studying the effects of heterogeneity in open quantum systems. We develop this formalism in the state space of density operators, on which ensembles of quantum states can be conveniently represented by probability distributions. We describe how this representation reduces ambiguity in the definition of quantum ensembles by providing the ability to explicitly separate classical and quantum sources of probabilistic uncertainty. We then derive explicit equations of motion for state space distributions of both open and closed quantum systems and demonstrate that resulting dynamics take a fluid mechanical form analogous to a classical probability fluid on Hamiltonian phase space, thus enabling a straightforward quantum generalization of Liouville's theorem. We illustrate the utility of our formalism by analyzing the dynamics of an open two-level system using the state-space formalism that is shown to be consistent with the derived analytical results.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/1.5100736
