2019/05/31 by Stephanie Matern, Daniel Loss, Jelena Klinovaja +1 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Electron #Electron cooling #Heat transfer #Markov process #Master equation #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum master equation #Quantum mechanics #Spin (aerodynamics) #Spins #Statistical physics #Thermal reservoir #Thermodynamics #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.100.134308
published as Phys. Rev. B 100, 134308 (2019) · 13+7 pages
openalex publication_date 2019/10/16 · arxiv created 2019/10/17 · arxiv updated 2019/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.