Characterizing Adiabaticity in Quantum Many-Body Systems at Finite
Temperature
- URL: http://arxiv.org/abs/2004.05842v1
- Date: Mon, 13 Apr 2020 09:43:35 GMT
- Title: Characterizing Adiabaticity in Quantum Many-Body Systems at Finite
Temperature
- Authors: A. H. Skelt and I. D'Amico
- Abstract summary: The quantum adiabatic theorem is fundamental to time dependent quantum systems.
The proposed method makes it possible to characterize the degree of adiabatic evolution tracking only the system local particle densities.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 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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