Quarantine Thermo - Irene D'Amico

Density and state metrics to measure adiabaticity in quantum many-body systems at finite temperature

Adiabatic evolutions are important in many research fields, such as quantum computation, quantum thermodynamics, or quantum games. However, when it comes to accurately characterizing an adiabatic evolution, there are many challenges, such as the complexity of calculations involving many-body systems and defining a quantum adiabatic criterion at finite temperature. Even at zero temperature, the validity and sufficiency of the quantum adiabatic criterion for certain systems have been questioned. Tracking adiabaticity both at finite temperature and for many-body systems remains an issue.

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 tracking only the system local particle densities, it is potentially applicable to both theoretical calculations of very large many-body systems and to experiments.

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