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Trapped Ion Quantum Computing Quantum Thermodynamics

Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect

arXiv
Authors: Kai Ji, Boris V. Fine

Year

2017

Paper ID

39238

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

We investigate numerically and analytically the heating process in ergodic clusters of interacting spins 1/2 subjected to periodic pulses of external magnetic field. Our findings indicate that there is a threshold for the pulse strength below which the heating is suppressed. This threshold decreases with the increase of the cluster size, approaching zero in the thermodynamic limit; yet it should be observable in clusters with fairly large Hilbert spaces. We obtain the above threshold quantitatively as a condition for the breakdown of the golden rule in the second-order perturbation theory. It is caused by the phenomenon of dynamic localization.

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  • We investigate numerically and analytically the heating process in ergodic clusters of interacting spins 1/2 subjected to periodic pulses of external magnetic field.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.10028 [2] arXiv https://arxiv.org/abs/1712.10028 [3] Publisher https://arxiv.org/abs/1712.10028

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