Theory of Heavy-Hole Spin Echoes

          @misc{ pirsa_PIRSA:11070070,
            doi = {10.48660/11070070},
            url = {https://pirsa.org/11070070},
            author = {Wang, Xiaoya Judy},
            keywords = {},
            language = {en},
            title = {Theory of Heavy-Hole Spin Echoes},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {jul},
            note = {PIRSA:11070070 see, \url{https://pirsa.org}}
          }
          

Abstract

Heavy-hole spin states have been proposed as a robust qubit candidate. Nevertheless, the coupling of the hole spins to nuclei in the surrounding medium likely limits hole-spin coherence and has, until very recently, been overlooked. We describe the spin decoherence of a heavy-hole in a semiconductor quantum dot, subject to spin echo pulses. We do so both analytically and numerically for an experimentally realistic number (10^4) of nuclear spins. Including the (previously neglected) nuclear Zeeman term in the Hamiltonian, we observe novel effects uniquely characterizing the decoherence mechanisms under study. In particular, we find a nontrivial dependence of the decay on the applied magnetic field, as well as novel predictions for motional narrowing and envelope modulation, which could significantly extend the hole-spin memory time in near-future experiments.