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Coherent backaction between spins and an electronic bath: non-Markovian dynamics and low-temperature quantum thermodynamic electron cooling

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Author(s)

Stephanie Matern, Daniel Loss, Jelena Klinovaja, Bernd Braunecker

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Abstract

We provide a versatile analytical framework for calculating the dynamics of a spin system in contact with a fermionic bath beyond the Markov approximation. The approach is based on a second-order expansion of the Nakajima-Zwanzig master equation but systematically includes all quantum coherent memory effects leading to non-Markovian dynamics. Our results describe, for the free induction decay, the full time range from the non-Markovian dynamics at short times, to the well-known exponential thermal decay at long times. We provide full analytic results for the entire time range using a bath of itinerant electrons as an archetype for universal quantum fluctuations. Furthermore, we propose a quantum thermodynamic scheme to employ the temperature insensitivity of the non-Markovian decay to transport heat out of the electron system and thus, by repeated reinitialization of a cluster of spins, to efficiently cool the electrons at very low temperatures.
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Original languageEnglish
Article number134308
JournalPhysical Review. B, Condensed matter and materials physics
Volume100
Issue number13
DOIs
Publication statusPublished - 16 Oct 2019

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