Non-Markovian qubit dynamics in the presence of 1/f noise

TL;DR

This paper derives the exact non-Markovian dynamics of a qubit affected by 1/f noise, revealing complex behaviors like asymmetries and beatings that are absent in Markovian models, with implications for solid-state quantum devices.

Contribution

It provides a non-Markovian theoretical framework for qubit dynamics under 1/f noise without relying on Markov approximation, applicable to spin and superconducting qubits.

Findings

Revealed asymmetries in qubit evolution due to 1/f noise

Identified beatings in the qubit time-evolution

Demonstrated limitations of Markovian models for 1/f noise

Abstract

Within the lowest-order Born approximation, we calculate the exact dynamics of a single qubit in the presence of 1/f noise, without making any Markov approximation. We show that the non-Markovian qubit time-evolution exhibits asymmetries and beatings that cannot be explained within a Markovian theory. The present theory for 1/f noise is relevant for both spin- and superconducting qubit realizations in solid-state devices, where 1/f noise is ubiquitous.