Quantum annealing for lattice models with competing long-range interactions

• URL: http://arxiv.org/abs/2511.08336v1
• Date: Wed, 12 Nov 2025 01:54:00 GMT
• Title: Quantum annealing for lattice models with competing long-range interactions
• Abstract summary: We use superconducting qubit quantum annealing devices to determine the ground state of Ising models with competing long-range interactions in the thermodynamic limit.<n>To demonstrate the capabilities of the approach, we choose three exemplary problems relevant for other quantum simulation platforms and material science.<n>The approach is applicable across many research areas in which lattice problems with resummable long-range interactions are relevant.
• Score: 0.45838268798521403
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We use superconducting qubit quantum annealing devices to determine the ground state of Ising models with algebraically decaying competing long-range interactions in the thermodynamic limit. This is enabled by a unit-cell-based optimization scheme, in which the finite optimizations on each unit cell are performed using commercial quantum annealing hardware. To demonstrate the capabilities of the approach, we choose three exemplary problems relevant for other quantum simulation platforms and material science: (i) the calculation of devil's staircases of magnetization plateaux of the long-range Ising model in a longitudinal field on the triangular lattice, motivated by atomic and molecular quantum simulators; (ii) the evaluation of the ground state of the same model on the Kagome lattice in the absence of a field, motivated by artificial spin ice metamaterials; (iii) the study of models with additional few-nearest-neighbor interactions relevant for frustrated Ising compounds with potential long-range interactions. The approach discussed in this work provides a useful and realistic application of existing quantum annealing technology, applicable across many research areas in which lattice problems with resummable long-range interactions are relevant.

Related papers

• Thermodynamic Probes of Multipartite Entanglement in Strongly Interacting Quantum Systems [0.8481798330936975]
  Quantifying multipartite entanglement in quantum many-body systems is a fundamental yet challenging task.<n>Motivated by advances in quantum simulators, we propose a framework that circumvents restrictions by evaluating global and local ergotropy.<n>We show that this formalism allows us to correctly estimate genuine multipartite entanglement in both stationary and time-evolved states of systems with strong interactions.
  arXiv  Detail & Related papers  (2025-11-05T08:00:03Z)
• Engineering and harnessing long-range interactions for atomic quantum simulators [0.0]
  We show how advances in the cold-atom community to further engineer such long-range interactions have stimulated the simulation of new regimes of fundamental many-body problems.<n>We showcase various fields where such platforms can offer new insights, ranging from the simulation of condensed matter phenomena to the study of lattice gauge theories.
  arXiv  Detail & Related papers  (2025-06-08T18:17:55Z)
• Local control and mixed dimensions: Exploring high-temperature superconductivity in optical lattices [0.8453109131640921]
  Local control and optical bilayer capabilities combined with spatially resolved measurements create a versatile toolbox. We show how coherent pairing correlations can be accessed in a partially particle-hole transformed and rotated basis. Finally, we introduce a scheme to measure momentum-resolved dopant densities, providing access to observables complementary to solid-state experiments.
  arXiv  Detail & Related papers  (2024-06-04T17:59:45Z)
• Modeling Non-Covalent Interatomic Interactions on a Photonic Quantum Computer [50.24983453990065]
  We show that the cQDO model lends itself naturally to simulation on a photonic quantum computer. We calculate the binding energy curve of diatomic systems by leveraging Xanadu's Strawberry Fields photonics library. Remarkably, we find that two coupled bosonic QDOs exhibit a stable bond.
  arXiv  Detail & Related papers  (2023-06-14T14:44:12Z)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• Digital quantum simulation of an extended Agassi model: Using machine learning to disentangle its phase-diagram [0.0]
  A digital quantum simulation for the extended Agassi model is proposed using a quantum platform with eight trapped ions. The aim of this work is twofold: on one hand, to propose a quantum simulation of the model at the present limits of the trapped ions facilities and on the other hand, to show how to use the quantum simulation accurately determine the phase of the system.
  arXiv  Detail & Related papers  (2022-05-30T14:16:50Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect [0.0]
  We give a detailed description of our multidisciplinary approach to understand the fate of the quantum anomalous Hall (QAH) phases. We show that tensor-network algorithms based on projected entangled pairs can be used to improve our understanding of the strong-coupling limit. We also present a detailed scheme that uses ultra-cold atoms in optical lattices with synthetic spin-orbit coupling to build quantum simulators.
  arXiv  Detail & Related papers  (2021-11-08T13:22:14Z)
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment [77.34726150561087]
  We study the role of driving in an initial maximally entangled state evolving under a structured environment. This knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.
  arXiv  Detail & Related papers  (2021-03-18T21:11:37Z)
• 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)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)

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.