Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
arxiv(2024)
摘要
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 super-Heisenberg precision, in terms of system size,
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 of our probe is independent of the initial states and may even
benefit from imperfections in the driving pulse.
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