Squeezing by Critical Speeding-up: Applications in Quantum Metrology

• URL: http://arxiv.org/abs/2111.12206v3
• Date: Thu, 21 Apr 2022 08:52:38 GMT
• Title: Squeezing by Critical Speeding-up: Applications in Quantum Metrology
• Authors: Karol Gietka
• Abstract summary: We present an alternative protocol allowing for the preparation of critical states that instead of suffering from the critical slowing-down benefits from the critical speeding-up. We show that critical quantum metrology with the Lipkin-Meshkov-Glick model cannot even overcome the standard quantum limit. We conclude that systems exhibiting a phase transition are indeed interesting from the viewpoint of quantum technologies.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an alternative protocol allowing for the preparation of critical states that instead of suffering from the critical slowing-down benefits from the critical speeding-up. Paradoxically, we prepare these states by going away from the critical point which allows for the speed-up. We apply the protocol to the paradigmatic quantum Rabi model and its classical oscillator limit as well as the Lipkin-Meshkov-Glick model. Subsequently, we discuss the application of the adiabatic speed-up protocol in quantum metrology and compare its performance with critical quantum metrology. We show that critical quantum metrology with the Lipkin-Meshkov-Glick model cannot even overcome the standard quantum limit, and we argue that, even though critical metrology protocols can overcome it in some cases, critical metrology is a suboptimal metrological strategy. Finally, we conclude that systems exhibiting a phase transition are indeed interesting from the viewpoint of quantum technologies, however, it may not be the critical point that should attract the most attention.

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