Dynamical quantum phase transition in diamond: applications in quantum metrology

Abstract

Nonequilibrium dynamics is a paramount scenario for studying quantum systems. The emergence of new features with no equilibrium counterpart, such as dynamical quantum phase transition (DQPT), has attracted wide attention. In this work, we depart from the well known Ising model and showcase an experimentally accessible configuration of a negatively charged Nitrogen-Vacancy center that interacts with nearby Carbon-13 nuclear spins. We provide new insights into this system in the context of DQPT. We show that nuclear spins undergo DQPT by appropriately choosing the relation between the transverse and longitudinal components of an external magnetic field. Furthermore, we can steer the DQPT via a time-dependent longitudinal magnetic field and apply this control to enhance the estimation of the coupling strength between the nuclear spins. Moreover, we propose a novel quenched dynamics that originates from the rotation of the central electron spin, which controls the DQPT relying on the anisotropy of the hyperfine coupling.

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• Review: Quantum Metrology and Sensing with Many-Body Systems
• Engineering Floquet Dynamical Quantum Phase Transition
• Quantum metrology in the noisy intermediate-scale quantum era
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Dynamical quantum phase transitions from random matrix theory
• Detection of Electron Paramagnetic Resonance of Two Electron Spins Using a Single NV Center in Diamond