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 (24)

• Optical Magnetometry
• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• Frequency Comparison of Two High-Accuracy Al+ Optical Clocks
• An atomic clock with $10^{-18}$ instability
• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• High-fidelity quantum driving
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Robust quantum control by shaped pulse
• Ultrafast optical rotations of electron spins in quantum dots
• Analytically solvable driven time-dependent two-level quantum systems
• Spectroscopy of the ${}^1{S}_0-{}^3{P}_0$ Clock Transition of ${}^{87}$Sr in an Optical Lattice
• Non-Hermitian quantum dynamics of a two-level system and models of dissipative environments
• Exactly solvable two-level quantum systems and Landau-Zener interferometry
• Decoherence and Collisional Frequency Shifts of Trapped Bosons and Fermions
• Optically induced rotation of a quantum dot exciton spin
• Driving-dependent damping of Rabi oscillations in two-level semiconductor systems
• Controlling decoherence of a two-level-atom in a lossy cavity
• Relativistic Quantum Metrology in Open System Dynamics
• Adiabatic quantum metrology with strongly correlated quantum optical systems
• Optimal coherent control to counteract dissipation
• Lindblad Decoherence in Atomic Clocks
• Optical Lattice Polarization Effects on Hyperpolarizability of Atomic Clock Transitions
• Spontaneous-symmetry-breaking assisted quantum sensors

Cited by in corpus (1)

• A giant atom with modulated transition frequency