Clock frequency estimation under spontaneous emission

Abstract

We investigate the quantum dynamics of a driven two-level system under spontaneous emission and its application in clock frequency estimation. By using a Lindblad equation to describe the system, we analytically obtain its exact solutions, which show three different regimes: Rabi oscillation, damped oscillation and overdamped decay. From the analytical solutions, we explore how the spontaneous emission affects the clock frequency estimation. We find that, under a modest spontaneous emission rate, the transition frequency can still be inferred from the Rabi oscillation. Our results provide potential practical applications in frequency measurement and quantum control under decoherence.

9 pages, 3 figures

References in corpus (8)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Analytically solvable driven time-dependent two-level quantum systems
• Decoherence and Collisional Frequency Shifts of Trapped Bosons and Fermions
• Driving-dependent damping of Rabi oscillations in two-level semiconductor systems
• Relativistic Quantum Metrology in Open System Dynamics
• Lindblad Decoherence in Atomic Clocks
• Optical Lattice Polarization Effects on Hyperpolarizability of Atomic Clock Transitions