Dephasing in the central spin problem with long-range Ising spin-bath coupling
- URL: http://arxiv.org/abs/2409.12749v1
- Date: Thu, 19 Sep 2024 13:14:31 GMT
- Title: Dephasing in the central spin problem with long-range Ising spin-bath coupling
- Authors: Kevin Ben Attar, Nir Bar-Gill,
- Abstract summary: We study the central limit theorem of qubit dephasing in the central spin model.
We prove this approximation for a bath depicted by an Ising spin system.
We show that in certain cases, namely for short-range (exponentially decaying) coupling, this approximation breaks.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The study of coherence dynamics in open quantum systems, specifically addressing various physical realizations of quantum systems and environments, is a long-standing and central pillar of quantum science and technology. As such, a large body of work establishes a firm theoretical understanding of these processes. Nevertheless, a fundamental aspect of decoherence dynamics, namely the central limit theorem of qubit dephasing in the central spin model, which leads to a Gaussian approximation, lacks formal proof in realistically relevant scenarios. Here we prove this approximation for a bath depicted by an Ising spin system, in the presence of disorder and several (most relevant) functional forms of qubit-bath coupling. Importantly, we show that in certain cases, namely for short-range (exponentially decaying) coupling, this approximation breaks. These results provide a theoretical framework for studying decoherence dynamics in various systems and lead to insights into dephasing behavior with implications for applications in quantum information, quantum computing, and other quantum technologies.
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