From Zeno to anti-Zeno: decoherence-control dependence on the quantum statistics of the bath

TL;DR

This paper shows that the quantum statistics of the environment, whether spin or bosonic, significantly influence qubit decoherence and the effectiveness of dynamical decoupling techniques, with spin baths causing faster dephasing.

Contribution

It provides exact solutions demonstrating how spin baths induce stronger dephasing than bosonic baths with identical spectra, highlighting the importance of bath quantum statistics.

Findings

Spin baths cause faster qubit dephasing than bosonic baths.

Quantum statistics of the bath affects dynamical decoupling strategies.

Exact solutions reveal the role of bath dressing in decoherence.

Abstract

We demonstrate through exact solutions that a spin bath leads to stronger (faster) dephasing of a qubit than a bosonic bath with identical bath-coupling spectrum. This difference is due to the spin-bath "dressing" by the coupling. Consequently, the quantum statistics of the bath strongly affects the pulse sequences required to dynamically decouple the qubit from its bath.