Microwave Engineering of Programmable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:mi>X</mml:mi><mml:mi>X</mml:mi><mml:mi>Z</mml:mi></mml:math> Hamiltonians in Arrays of Rydberg Atoms

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 are placed in one-dimensional (1D) two-dimensional (2D) arrays of optical tweezers. As illustrations, we apply this engineering two iconic situations physics: Heisenberg model square transport 1D. first benchmark Hamiltonian for then demonstrate freezing magnetization on an initially magnetized 2D array. Finally, explore dynamics 1D domain-wall systems both open boundary conditions. systematically compare our data numerical simulations assess residual limitations technique as well routes improvement. geometrical versatility platform, combined flexibility simulated Hamiltonians, opens up exciting prospects fields quantum simulation, information processing, sensing.Received 30 July 2021Revised 9 February 2022Accepted 25 2022DOI:https://doi.org/10.1103/PRXQuantum.3.020303Published by American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasQuantum simulationPhysical SystemsRydberg & moleculesGeneral Physics