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Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature

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Publication details

JournalAdvanced Quantum Technologies
DateAccepted/In press - 28 Apr 2020
DatePublished (current) - 19 May 2020
Issue number7
Volume3
Number of pages8
Original languageEnglish

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.

Bibliographical note

©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.

    Research areas

  • adiabaticity, finite temperature, many-body systems, metrics, quantum adiabatic criterion

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