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

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.
Original languageEnglish
Article number134308
Number of pages18
JournalPhysical Review. B, Condensed matter and materials physics
Volume100
Issue number13
DOIs
Publication statusPublished - 16 Oct 2019

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