Amorphous quantum magnets in a two-dimensional Rydberg atom array

• URL: http://arxiv.org/abs/2402.02852v2
• Date: Wed, 24 Apr 2024 15:50:20 GMT
• Title: Amorphous quantum magnets in a two-dimensional Rydberg atom array
• Authors: Sergi Julià-Farré, Joseph Vovrosh, Alexandre Dauphin,
• Abstract summary: 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.
• Score: 44.99833362998488
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Amorphous solids, i.e., systems which feature well-defined short-range properties but lack long-range order, constitute an important research topic in condensed matter. While their microscopic structure is known to differ from their crystalline counterpart, there are still many open questions concerning the emergent collective behavior in amorphous materials. This is particularly the case in the quantum regime, where the numerical simulations are extremely challenging. In this article, we instead propose to explore amorphous quantum magnets with an analog quantum simulator. To this end, we first present an algorithm to generate amorphous quantum magnets, suitable for Rydberg simulators of the Ising model. Subsequently, we use semiclassical approaches to get a preliminary insight of the physics of the model. In particular, for ferromagnetic interactions, we calculate mean-field phase diagrams, and use the linear-spin-wave theory to study localization properties and dynamical structure factors of the excitations. For antiferromagnetic interactions, we show that amorphous magnets exhibit a complex classical energy landscape by means of simulated annealing. Finally, we outline an experimental proposal based on Rydberg atoms in programmable tweezer arrays, thus opening the road towards the study of amorphous quantum magnets in regimes difficult to simulate classically.

Related papers

• Simulating Schwinger model dynamics with quasi-one-dimensional qubit arrays [0.0]
  We develop a strategy to run Schwinger model dynamics on synthetic quantum spin lattices. We show that global magnetic field patterns can drive coherent quantum dynamics of the interface equivalent to the lattice Schwinger Hamiltonian. This work opens up a path for near-term quantum simulators to address questions of immediate relevance to particle physics.
  arXiv  Detail & Related papers  (2024-09-22T17:58:25Z)
• Entanglement with neutral atoms in the simulation of nonequilibrium dynamics of one-dimensional spin models [0.0]
  We study the generation and role of entanglement in the dynamics of spin-1/2 models. We introduce the neutral atom Molmer-Sorensen gate, involving rapid adiabatic Rydberg dressing interleaved in a spin-echo sequence. In quantum simulation, we consider critical behavior in quench dynamics of transverse field Ising models.
  arXiv  Detail & Related papers  (2024-06-07T23:29:16Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Quantum dimer models with Rydberg gadgets [0.0]
  Rydberg blockade mechanism is an important ingredient in quantum simulators based on neutral atom arrays. We propose a method to transform the underlying Rydberg blockade into more general constraints. We show that these states can be dynamically prepared with high fidelity.
  arXiv  Detail & Related papers  (2024-02-16T12:54:06Z)
• Estimating Patterns of Classical and Quantum Skyrmion States [0.0]
  We show that for classical spin systems there is a whole pool of machine approaches allowing their accurate phase classification and quantitative description. One needs to find the ways to imitate quantum skyrmions on near-term quantum computers.
  arXiv  Detail & Related papers  (2023-04-05T03:26:57Z)
• A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
  Mixed Weyl symbol is used to describe brain processes at the microscopic level. Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically. Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
  arXiv  Detail & Related papers  (2023-01-17T15:16:21Z)
• 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)
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices [62.997667081978825]
  We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter. We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios. These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
  arXiv  Detail & Related papers  (2020-11-16T08:03:44Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)

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.