Bonn 2025 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 61: Ultra-cold Plasmas and Rydberg Systems II (joint session A/Q)

Q 61.3: Talk

Thursday, March 13, 2025, 15:00–15:15, HS PC

Functional Rydberg Complexes in the VdW Model — •Simon Fell — ITP 3 - Uni Stuttgart

We consider the construction of functional Hilbert spaces characterized by local constraints as the low-energy sector of a microscopic system of Rydberg atoms. The construction of such Hilbert spaces provides a path towards the realization of quantum phases with topological order or geometric programming in the NISQ era. We consider realistic, algebraic decaying Van der Waals (VdW) interactions and compare with previous studies performed within the PXP blockade approximation. We present tools to tackle the residual interactions and introduce a versatile set of efficient elementary building blocks to implement the constraints, both in two and in three dimensions. We illustrate the limitations imposed by the VdW interactions on lattice realizations of string-net Hilbert spaces with loop degrees of freedom on the Rydberg platform.

Keywords: Rydberg Platform; Geometric Programming; Quantum Phases with Long-Range Entanglement