Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing

• URL: http://arxiv.org/abs/2405.00328v3
• Date: Mon, 04 Nov 2024 11:49:47 GMT
• Title: Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• Authors: Rozhin Yousefjani, Krzysztof Sacha, Abolfazl Bayat,
• Abstract summary: We propose and characterize an effective mechanism to generate a stable discrete time crystal phase in a disorder-free many-body system. The results show strong quantum-enhanced sensitivity throughout the time crystal phase. A simple set of projective measurements can capture the quantum-enhanced sensitivity.
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• Abstract: Discrete time crystals are a special phase of matter in which time translational symmetry is broken through a periodic driving pulse. Here, we first propose and characterize an effective mechanism to generate a stable discrete time crystal phase in a disorder-free many-body system with indefinite persistent oscillations even in finite-size systems. Then we explore the sensing capability of this system to measure the spin exchange coupling. The results show strong quantum-enhanced sensitivity throughout the time crystal phase. As the spin exchange coupling varies, the system goes through a sharp phase transition and enters a non-time crystal phase in which the performance of the probe considerably decreases. We characterize this phase transition as a second-order type and determine its critical properties through a comprehensive finite-size scaling analysis. The performance is independent of the initial states and may even benefit from imperfections in the driving pulse. A simple set of projective measurements can capture the quantum-enhanced sensitivity.

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