Rydberg Quasi-Contact Forces with Resonant Range Control via Fast Eigenstate Twisting
Mohammadsadegh Khazali
Abstract
Abstract This article introduces a novel method to engineer sharply peaked, distance-selective interactions between neutral atoms by exploiting interaction-induced resonances within a resonantly driven Rydberg ladder system. By tuning laser parameters, a subsystem eigenstate twists rapidly and is brought into degeneracy with the atomic ground state at precisely defined interatomic separations, resulting in an effective fourth-order light-shift potential sharply peaked around this resonance distance. The linewidth of the resonant double excitation manifold defines the linewidth of the potential peak. Unlike previous off-resonant macrodimer-based schemes, our approach significantly enhances interaction strength, reaching MHz scales, and provides straightforward experimental tunability without requiring sub-wavelength positional control. Analytic expressions, validated through comprehensive master-equation simulations, detail the interaction profile's amplitude, width, and resonant distance and robustness to laser fluctuations. This precise control facilitates parallel entangling gates crucial for measurement-based quantum computing and enables simulation of complex lattice Hamiltonians with customizable connectivity.