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Preparation of nonequilibrium nuclear spin states in double quantum dots

2012/12/31 by Michael J. Gullans, M. Gullans, J. J. Krich +6
Chemistry · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Chemistry #Condensed matter physics #Electron #Physics #Polarization (electrochemistry) #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiclassical physics #Semiconductor Quantum Structures and Devices #Spin polarization #Spins #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.88.035309

published as Phys. Rev. B 88, 035309 (2013) · 11 pages main text, 8 figures, V2: minor changes, V3: minor changes

openalex publication_date 2013/07/15 · arxiv created 2014/07/25 · arxiv updated 2014/07/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We theoretically study the dynamic polarization of lattice nuclear spins in GaAs double quantum dots containing two electrons. In our prior work [Phys. Rev. Lett. 104, 226807 (2010)], we identified three regimes of long-term dynamics, including the buildup of a large difference in the Overhauser fields across the dots, the saturation of the nuclear polarization process associated with the formation of so-called dark states, and the elimination of the difference field. In particular, when the dots are different sizes, we found that the Overhauser field becomes larger in the smaller dot. Here we present a detailed theoretical analysis of these problems, including a model of the polarization dynamics and the development of a numerical method to efficiently simulate semiclassical-central-spin problems. When nuclear spin noise is included, the results agree with our prior work indicating that large difference fields and dark states are stable configurations, while the elimination of the difference field is unstable; however, in the absence of noise, we find all three steady states are achieved depending on parameters. These results are in good agreement with dynamic nuclear polarization experiments in double quantum dots.

Citations