# Non-Markovianity and coherence of a moving qubit inside a leaky cavity

## TL;DR

This paper investigates how a moving qubit inside a leaky cavity exhibits enhanced coherence preservation and altered non-Markovian features, with higher velocities improving coherence but reducing non-Markovianity.

## Contribution

It introduces the study of qubit motion effects on non-Markovianity and coherence in leaky cavities, revealing velocity-dependent coherence preservation and non-Markovianity weakening.

## Key findings

- Higher qubit velocities lead to better coherence preservation.
- Non-Markovianity decreases as qubit velocity increases.
- Coherence remains closer to initial value over time for moving qubits.

## Abstract

Non-Markovian features of a system evolution, stemming from memory effects, may be utilized to transfer, storage, and revive basic quantum properties of the system states. It is well known that an atom qubit undergoes non-Markovian dynamics in high quality cavities. We here consider the qubit-cavity interaction in the case when the qubit is in motion inside a leaky cavity. We show that, owing to the inhibition of the decay rate, the coherence of the traveling qubit remains closer to its initial value as time goes by compared to that of a qubit at rest. We also demonstrate that quantum coherence is preserved more efficiently for larger qubit velocities. This is true independently of the evolution being Markovian or non-Markovian, albeit the latter condition is more effective at a given value of velocity. We however find that the degree of non-Markovianity is eventually weakened as the qubit velocity increases, despite a better coherence maintenance.