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Trapped Ion Quantum Computing

Suppressed Energy Relaxation in the Quantum Rabi Model at the Critical Point

arXiv
Authors: Ye-Hong Chen, Zhi-Cheng Shi, Yu-Ran Zhang, Franco Nori, Yan Xia

Year

2024

Paper ID

37157

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We derive a modified master equation for the quantum Rabi model in the parameter regime where quantum criticality can occur. The modified master equation can avoid some unphysical predictions, such as excitations in the system at zero temperature and emission of ground-state photons. Due to spectrum collapse, we find that there is mostly no energy relaxation in the system at the critical point. For the same reason, phase coherence rapidly reduces and vanishes at the critical point. We analyze the quantum metrological limits of the system in the presence of dephasing. These results show a strong limitation on the precision of phase-shift estimation.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • We derive a modified master equation for the quantum Rabi model in the parameter regime where quantum criticality can occur.

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