Skelt, Amy H. and D'Amico, Irene orcid.org/0000-0002-4794-1348 (2020) Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature. Advanced Quantum Technologies. 1900139. ISSN 2511-9044
Abstract
The quantum adiabatic theorem is fundamental to time-dependent quantum systems, but being able to characterize quantitatively an adiabatic evolution in many-body systems can be a challenge. This work demonstrates that the use of appropriate state and particle-density metrics is a viable method to quantitatively determine the degree of adiabaticity in the dynamic of a quantum many-body system. The method applies also to systems at finite temperature, which is important for quantum technologies and quantum thermodynamics related protocols. The importance of accounting for memory effects is discussed via comparison to results obtained by extending the quantum adiabatic criterion to finite temperatures: it is shown that this may produce false readings being quasi-Markovian by construction. As the proposed method makes it possible to characterize the degree of adiabatic evolution by tracking only the system local particle densities, it is potentially applicable to both theoretical calculations of very large many-body systems and to experiments.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2001, The Authors. Funding Information: The authors acknowledge fruitful discussions with V. V. Franca and stimulating conversations with C. Verdozzi. The authors thank K. Zawadzki for the code for the Hubbard chain dynamics. A.H.S. acknowledges support from?EPSRC. |
Keywords: | adiabaticity,finite temperature,many-body systems,metrics,quantum adiabatic criterion |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Physics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 03 Jul 2020 13:20 |
Last Modified: | 31 Mar 2025 23:08 |
Published Version: | https://doi.org/10.1002/qute.201900139 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1002/qute.201900139 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:162866 |
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Description: Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
Licence: CC-BY 2.5