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

• URL: http://arxiv.org/abs/2107.14459v2
• Date: Tue, 1 Mar 2022 12:12:03 GMT
• Title: Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Authors: P. Scholl, H. J. Williams, G. Bornet, F. Wallner, D. Barredo, T. Lahaye, A. Browaeys, L. Henriet, A. Signoles, C. Hainaut, T. Franz, S. Geier, A. Tebben, A. Salzinger, G. Z\"urn, M. Weidem\"uller
• Abstract summary: 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. We first benchmark the Hamiltonian engineering for two atoms, and then demonstrate the freezing of the magnetization on an initially magnetized 2D array.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 magnetization on an initially magnetized 2D array. Finally, we explore the dynamics of 1D domain wall systems with both periodic and open boundary conditions. We systematically compare our data with numerical simulations and assess the residual limitations of the technique as well as routes for improvements. The geometrical versatility of the platform, combined with the flexibility of the simulated Hamiltonians, opens exciting prospects in the field of quantum simulation, quantum information processing and quantum sensing.

Related papers

• Quantum Simulation of Spin-1 XXZ-Heisenberg Models and the Haldane Phase with Dysprosium [0.0]
  We propose Dysprosium atoms for simulating the one-dimensional spin-1 XXZ-Heisenberg model. We find that a chain of fermionic Dysprosium atoms in a suitable magnetic field can form a Haldane state with the characteristic spin-1/2 edge modes.
  arXiv  Detail & Related papers  (2024-10-29T16:48:01Z)
• Observation of string breaking on a (2 + 1)D Rydberg quantum simulator [59.63568901264298]
  We report the observation of string breaking in synthetic quantum matter using a programmable quantum simulator. Our work paves a way to explore phenomena in high-energy physics using programmable quantum simulators.
  arXiv  Detail & Related papers  (2024-10-21T22:33:16Z)
• Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
  We use FNOs to model the evolution of random quantum spin systems. We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
  arXiv  Detail & Related papers  (2024-09-05T07:18:09Z)
• Quantum State Transfer in a Magnetic Atoms Chain Using a Scanning Tunneling Microscope [44.99833362998488]
  The electric control of quantum spin chains has been an outstanding goal for the few last years due to its potential use in technologies related to quantum information processing. We show the feasibility of the different steps necessary to perform controlled quantum state transfer in a $S=1/2$ titanium atoms chain employing the electric field produced by a Scanning Tunneling Microscope (STM)
  arXiv  Detail & Related papers  (2024-08-13T14:45:46Z)
• Construction of topological quantum magnets from atomic spins on surfaces [6.884621917906393]
  We demonstrate topological quantum Heisenberg spin lattices, engineered with spin chains and two-dimensional spin arrays in a scanning tunnelling microscope (STM) Our results provide an important bottom-up approach to simulating exotic quantum many-body phases of interacting spins.
  arXiv  Detail & Related papers  (2024-03-21T05:41:20Z)
• Hamiltonian Engineering of collective XYZ spin models in an optical cavity [0.0]
  Quantum simulation using synthetic quantum systems offers unique opportunities to explore open questions in many-body physics. Here, we are able to realize an all-to-all interaction with arbitrary quadratic Hamiltonian or effectively an infinite range tunable Heisenberg XYZ model. The versatility of our platform to include more than two relevant momentum states, combined with the flexibility of the simulated Hamiltonians by adding cavity tones opens rich opportunities for quantum simulation and quantum sensing in matter-wave interferometers and other quantum sensors such as optical clocks and magnetometers.
  arXiv  Detail & Related papers  (2024-02-29T18:26:13Z)
• Amorphous quantum magnets in a two-dimensional Rydberg atom array [44.99833362998488]
  We propose to explore amorphous quantum magnets with an analog quantum simulator. We first present an algorithm to generate amorphous quantum magnets, suitable for Rydberg simulators of the Ising model. We then use semiclassical approaches to get a preliminary insight of the physics of the model.
  arXiv  Detail & Related papers  (2024-02-05T10:07:10Z)
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states [0.0]
  We have developed a method to simulate quantum spin models with the Dzyaloshinskii-Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a two-photon Raman transition and a transformation to the spin-rotating frame. As a model that can be simulated in our setup but not in solid-state systems, we consider an $S=frac12$ spin chain with a Hamiltonian consisting of Zeeman energy.
  arXiv  Detail & Related papers  (2023-06-08T23:34:01Z)
• Spin-motion coupling in a circular Rydberg state quantum simulator: case of two atoms [0.0]
  Circular Rydberg atoms are remarkable tools for the quantum simulation of spin arrays. We study the interplay between the spin exchange and motional dynamics in the simple case of two interacting circular Rydberg atoms confined in harmonic traps.
  arXiv  Detail & Related papers  (2023-03-21T19:16:24Z)
• Engineering analog quantum chemistry Hamiltonians using cold atoms in optical lattices [69.50862982117127]
  We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups. We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
  arXiv  Detail & Related papers  (2020-11-28T11:23:06Z)
• Quantum Simulation of 2D Quantum Chemistry in Optical Lattices [59.89454513692418]
  We propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We first analyze how to simulate simple models, like the discrete versions of H and H$+$, using a single fermionic atom. We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions.
  arXiv  Detail & Related papers  (2020-02-21T16:00:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.