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We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal…

Quantum Physics · Physics 2014-06-24 Bryce Yoshimura , Marybeth Stork , Danilo Dadic , W. C. Campbell , J. K. Freericks

Three-dimensional (3D) crystals offer a route to scale up trapped ion systems for quantum sensing and quantum simulation applications. However, engineering coherent spin-motion couplings and effective spin-spin interactions in large…

Quantum Physics · Physics 2026-03-26 Samarth Hawaldar , N. Nikhil , Ana Maria Rey , John J. Bollinger , Athreya Shankar

The entanglement properties of some novel quantum systems are studied that are inspired by recent developments in cold-atom technology. A triangular optical lattice of two atomic species can be employed to generate a variety of spin-1/2…

Quantum Physics · Physics 2007-05-23 Jiannis K. Pachos

Quantum computers have the potential to efficiently simulate the dynamics of many interacting quantum particles, a classically intractable task of central importance to fields ranging from chemistry to high-energy physics. However,…

We present an extension of the chaos-assisted tunneling mechanism to spatially periodic lattice systems. We demonstrate that driving such lattice systems in an intermediate regime of modulation maps them onto tight-binding Hamiltonians with…

We present a detailed study of quantum simulations of coupled spin systems in surface-electrode ion-trap arrays, and illustrate our findings with a proposed implementation of the hexagonal Kitaev model [A. Kitaev, Annals of Physics 321,2…

Quantum Physics · Physics 2011-12-01 Roman Schmied , Janus H. Wesenberg , Dietrich Leibfried

Twisted transition metal dichalcogenide (TMD) homobilayers have recently emerged as a powerful platform for studying correlated insulating states. In the strongly correlated limit, we construct an effective spin Hamiltonian on a honeycomb…

Strongly Correlated Electrons · Physics 2021-10-04 Mohammad-Hossein Zare , Hamid Mosadeq

We study the equilibrium glassy behavior of a multimode random laser model with nonlinear four-body quenched disordered interactions and a global smoothed-cubic constraint on mode intensities. This constraint, which provides a more…

Disordered Systems and Neural Networks · Physics 2025-11-19 Marcello Benedetti , Luca Leuzzi

The weak Mott insulating regime of the triangular lattice Hubbard model exhibits a rich magnetic phase diagram as a result of the ring exchange interaction in the spin Hamiltonian. These phases include the Kalmeyer-Laughlin type chiral spin…

Strongly Correlated Electrons · Physics 2025-12-23 Asimpunya Mitra , Daniel J. Schultz , Yong Baek Kim

The global coupling of few-level quantum systems ("spins") to a discrete set of bosonic modes is a key ingredient for many applications in quantum science, including large-scale entanglement generation, quantum simulation of the dynamics of…

Quantum Gases · Physics 2016-12-07 Michael L. Wall , Arghavan Safavi-Naini , Ana Maria Rey

We propose a trapped-ion platform to simulate a reconfigurable spin-spin Hamiltonian related to quantum thermodynamic processes. Starting from an experimental model describing two trapped-ions under slightly off-resonant first sideband…

Quantum Physics · Physics 2020-07-01 P. U. Medina González , I. Ramos Prieto , B. M. Rodríguez-Lara

State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered…

High Energy Physics - Lattice · Physics 2024-02-05 Joao C. Pinto Barros , Thea Budde , Marina Krstic Marinkovic

Trapped ions are considered one of the best candidates to perform quantum information processing. By interacting them with laser beams they are, somehow, easy to manipulate, which makes them an excellent choice for the production of…

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

The trapped-ion system has been a leading platform for practical quantum computation and quantum simulation since the first scheme of a quantum gate was proposed by Cirac and Zoller in 1995. Quantum gates with trapped ions have shown the…

Quantum Physics · Physics 2023-04-05 Zhengyang Cai , Chunyang Luan , Lingfeng Ou , Hengchao Tu , Zihan Yin , Jing-Ning Zhang , Kihwan Kim

We present a simple, experimentally realizable method to make coherent three-body interactions dominate the physics of an ultracold lattice gas. Our scheme employs either lattice modulation or laser-induced tunneling to reduce or turn off…

Quantum Gases · Physics 2014-05-30 Andrew J. Daley , Jonathan Simon

Hybrid classical-quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a quantum co-processor, while benefitting from quantum resources. Here we present experiments…

We present the experimental detection of coherent three-body interactions, often masked by stronger two-body effects, through nonequilibrium spin dynamics induced by controllably quenching lattice-confined spinor gases. Three-body…

Quantum Gases · Physics 2026-04-07 C. Binegar , J. O. Austin-Harris , S. E. Begg , P. Sigdel , T. Bilitewski , Y. Liu

The Hubbard model is one of the primary models for understanding the essential many-body physics in condensed matter systems such as Mott insulators and cuprate high-Tc superconductors. Recent advances in atomically precise fabrication in…