The classical nature of nuclear spin noise near clock transitions of Bi donors in silicon

Abstract

Whether a quantum bath can be approximated as classical noise is a fundamental issue in central spin decoherence and also of practical importance in designing noise-resilient quantum control. Spin qubits based on bismuth donors in silicon have tunable interactions with nuclear spin baths and are first-order insensitive to magnetic noise at so-called clock-transitions (CTs). This system is therefore ideal for studying the quantum/classical nature of nuclear spin baths since the qubit-bath interaction strength determines the back-action on the baths and hence the adequacy of a classical noise model. We develop a Gaussian noise model with noise correlations determined by quantum calculations and compare the classical noise approximation to the full quantum bath theory. We experimentally test our model through dynamical decoupling sequence of up to 128 pulses, finding good agreement with simulations and measuring electron spin coherence times approaching one second - notably using natural silicon. Our theoretical and experimental study demonstrates that the noise from a nuclear spin bath is analogous to classical Gaussian noise if the back-action of the qubit on the bath is small compared to the internal bath dynamics, as is the case close to CTs. However, far from the CTs, the back-action of the central spin on the bath is such that the quantum model is required to accurately model spin decoherence.

5 pages, 3 figures

References in corpus (14)

• Quantum Computing
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Quantum Darwinism
• How to Enhance Dephasing Time in Superconducting Qubits
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
• Nuclear spin pair coherence in diamond for atomic scale magnetometry
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Anomalous decoherence effect in a quantum bath
• Electron spin as a spectrometer of nuclear spin noise and other fluctuations
• Bismuth in silicon qubits: the role of EPR cancellation resonances

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