Analytical model of non-Markovian decoherence in donor-based charge quantum bits

TL;DR

This paper presents an analytical model for donor-based charge qubits that captures non-Markovian decoherence effects, including time-dependent decoherence rates and recoherence phenomena, with coherence times inversely related to temperature.

Contribution

It introduces a novel analytical approach to describe non-Markovian decoherence in donor-based charge qubits, highlighting temperature-dependent coherence times.

Findings

Decoherence rate varies with time and can be negative.

Recoherence phenomena are observed due to non-Markovian effects.

Coherence time decreases as temperature increases.

Abstract

We develop an analytical model for describing the dynamics of a donor-based charge quantum bit (qubit). As a result, the quantum decoherence of the qubit is analytically obtained and shown to reveal non-Markovian features: The decoherence rate varies with time and even attains negative values, generating a non-exponential decay of the electronic coherence and a later recoherence. The resulting coherence time is inversely proportional to the temperature, thus leading to low decoherence below a material dependent characteristic temperature.