Kim, E. and Lewis, P. (2018) Information length in quantum system. Journal of Statistical Mechanics: Theory and Experiment. 043106. ISSN 1742-5468
Abstract
A probabilistic description is essential for understanding the dynamics in many systems due to uncertainty or fluctuations. We show how to utilise time-dependent probability density functions to compute the information length , as a Lagrangian measure that counts the number of different states that a quantum system evolves through in time. Using , we examine the information change associated with the evolution of initial Gaussian wave packets and elucidate consequences of quantum effects.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1742-5468/aabbbe |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL (EPSRC) EP/D064317/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 30 Apr 2018 11:26 |
Last Modified: | 26 Apr 2019 00:39 |
Published Version: | https://doi.org/10.1088/1742-5468/aabbbe |
Status: | Published |
Publisher: | IOP Publishing |
Refereed: | Yes |
Identification Number: | 10.1088/1742-5468/aabbbe |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:130166 |