Abstract
We study the Landau-Zener (LZ) dynamics in a setup of two Rydberg atoms with time-dependent detuning, both linear and periodic, using both the exact numerical calculations as well as the method of adiabatic impulse approximation (AIA). By varying the Rydberg-Rydberg interaction strengths, the system can emulate different three-level LZ models, for instance, bow-tie and triangular LZ models. The LZ dynamics exhibits non-trivial dependence on the initial state, the quench rate, and the interaction strengths. For large interaction strengths, the dynamics is well captured by AIA. In the end, we analyze the periodically driven case, and AIA reveals a rich phase structure involved in the dynamics. The latter may find applications in quantum state preparation, quantum phase gates, and atom interferometry.
Highlights
Landau-Zener transition (LZT) between two energy levels occurs when a two-level system is driven across an avoided level crossing
We look at the case of periodically modulated detuning especially, for large Rydberg interactions (RRIs)
II, we review the dynamics in a two-level atom subjected to time-dependent detuning, both linear and periodic in time
Summary
Landau-Zener transition (LZT) between two energy levels occurs when a two-level system is driven across an avoided level crossing. It has been employed to study quantum systems undergoing a quench [50, 51] or periodically driven across an avoided level crossing or a transition point [47] It is thereby analyzing the LZTs and quantum phase transitions, including the Kibble-Zureck mechanism [50, 52, 53]. We analyze the dynamics in two two-level atoms in which the ground state is coupled to a Rydberg state with a time-dependent detuning. We consider both linear and periodic variation of detuning in time.
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