Corpus ID: 236635027

# Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms

@inproceedings{Scholl2021MicrowaveengineeringOP,
title={Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms},
author={Pascal Scholl and Hannah J Williams and Gr{\'e}goire Bornet and Frank Wallner and Daniel Barredo and Thierry Lahaye and Antoine Browaeys and Loic Henriet and Adrien Signoles and C. Hainaut and Titus Franz and S. Geier and Annika Tebben and Andre Salzinger and Gerhard Zurn and Matthias Weidemuller},
year={2021}
}
We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The atoms are placed in 1D and 2D arrays of optical tweezers, allowing us to study iconic situations in spin physics, such as the implementation of the Heisenberg model in square arrays, and the study of spin transport in 1D. We first benchmark the Hamiltonian engineering for two atoms, and then demonstrate the freezing of the… Expand
2 Citations

#### Figures from this paper

Generalized quantum circuit differentiation rules
• Physics
• Physical Review A
• 2021
Variational quantum algorithms that are used for quantum machine learning rely on the ability to automatically differentiate parametrized quantum circuits with respect to underlying parameters. Here,Expand
Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains
• Physics
• 2021
Jacopo De Nardis, Sarang Gopalakrishnan, Romain Vasseur, and Brayden Ware 5 Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, CY Cergy Paris Université, 95302 Cergy-Pontoise Cedex,Expand

#### References

SHOWING 1-10 OF 75 REFERENCES
Optical Control of the Resonant Dipole-Dipole Interaction between Rydberg Atoms.
• Physics, Medicine
• Physical review letters
• 2017
This work reports on the local control of the transition frequency of a spin 1/2 encoded in two Rydberg levels of an individual atom by applying a state-selective light shift using an addressing beam, and shows that after preparing an initial single spin excitation, it can freeze the dynamics at will with the addressing laser, while preserving the coherence of the system. Expand
Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices.
• Physics, Medicine
• Physical review letters
• 2013
It is shown that for two atomic spin states with opposite magnetic moments, the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms naturally realizes the time-reversal-symmetric Hamiltonian underlying the quantum spin Hall effect. Expand
Many-body physics with individually controlled Rydberg atoms
• Physics
• 2020
Recent decades have witnessed great developments in the field of quantum simulation—where synthetic systems are built and studied to gain insight into complicated, many-body real-world problems.Expand
Simulating Quantum Spin Models using Rydberg-Excited Atomic Ensembles in Magnetic Microtrap Arrays
• Physics
• 2016
We propose a scheme to simulate lattice spin models based on strong and long-range interacting Rydberg atoms stored in a large-spacing array of magnetic microtraps. Each spin is encoded in aExpand
Realization of a Density-Dependent Peierls Phase in a Synthetic, Spin-Orbit Coupled Rydberg System
We experimentally realize a Peierls phase in the hopping amplitude of excitations carried by Rydberg atoms, and observe the resulting characteristic chiral motion in a minimal setup of three sites.Expand
Probing the Quench Dynamics of Antiferromagnetic Correlations in a 2D Quantum Ising Spin System
Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics ofExpand
Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms
The experimental realization of a symmetry-protected topological phase of interacting bosons in a one-dimensional lattice is reported and a robust ground state degeneracy attributed to protected zero-energy edge states is demonstrated. Expand
Quantum simulation and computing with Rydberg-interacting qubits
• Physics
• 2021
Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a competitive physical platform for quantum simulation and computing, where high-fidelity state preparation andExpand
Experimental reconstruction of the Berry curvature in a Floquet Bloch band
The Berry curvature is engineered and measured in a simulated boron-nitride optical lattice filled with fermionic K atoms and the results pave the way to explore intriguing phases of matter with interactions in topological band structures. Expand
Domain wall problem in the quantum XXZ chain and semiclassical behavior close to the isotropic point
• Physics
• SciPost Physics
• 2019
We study the dynamics of a spin-\frac{1}{2}12 XXZ chain which is initially prepared in a domain-wall state. We compare the results of time-dependent Density Matrix Renormalization Group simulationsExpand