The time-domain Landau-Zener-Stuckelberg-Majorana interference in optical lattice clock

TL;DR

This paper theoretically investigates the time-domain Landau-Zener-Stuckelberg-Majorana interference in a 1D Sr-87 optical lattice clock, revealing conditions for observing Rabi oscillations and effects of dephasing and Bloch-Siegert shifts.

Contribution

It provides a theoretical analysis of LZSM interference in optical lattice clocks using adiabatic-impulse and Floquet methods, offering insights into experimental observation.

Findings

LZROs with step-like structure are identified in real experimental parameters.

Dephasing due to temperature can be suppressed via destructive interference.

Discussion of Bloch-Siegert shift effects when pulse timing deviates from specific periods.

Abstract

The interference between a sequence of Landau-Zener (LZ) transitions can produce Rabi oscillations(LZROs). This phenomenon is a kind of time-domain Landau-Zener-Stuckelberg-Majorana (LZSM) interference. However, experimental demonstrations of this LZSM interference induced Rabi oscillation are extremely hard due to the short coherence time of the driven quantum system. Here, we study theoretically the time-domain LZSM interference between the clock transition in one-dimensional (1D) Sr-87 optical lattice clock (OLC) system. With the help of both the adiabatic-impulse model and Floquet numerical simulation method, the LZROs with special step-like structure are clearly found both in fast- and slow-passage limit in the real experiment parameter regions. In addition, the dephasing effect caused by the system temperature can be suppressed with destructive interference in the slow-passage limit. Finally, we discuss the possible Bloch-Siegert shift while the pulse time is away from the half-integer and integer periods. Our work provides a clear roadmap to observe the LZROs on the OLC platform.