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The Kitaev honeycomb model plays a pivotal role in the quest for quantum spin liquids, in which fractional quasiparticles would provide applications in decoherence-free topological quantum computing. The key ingredient is the bond-dependent…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

We propose the use of 2-dimensional Penning trap arrays as a scalable platform for quantum simulation and quantum computing with trapped atomic ions. This approach involves placing arrays of micro-structured electrodes defining static…

Quantum Physics · Physics 2020-08-07 Shreyans Jain , Joseba Alonso , Matt Grau , Jonathan P. Home

We propose two setups for realizing a chiral quantum network, where two-level systems representing the nodes interact via directional emission into discrete waveguides, as introduced in T. Ramos et al. [Phys. Rev. A 93, 062104 (2016)]. The…

Quantum Physics · Physics 2016-06-27 Benoît Vermersch , Tomás Ramos , Philipp Hauke , Peter Zoller

We discuss the experimental feasibility of quantum simulation with trapped ion crystals, using magnetic field gradients. We describe a micro structured planar ion trap, which contains a central wire loop generating a strong magnetic…

We introduce a theoretical scheme for the analog quantum simulation of long-range XYZ models using current trapped-ion technology. In order to achieve fully-tunable Heisenberg-type interactions, our proposal requires a state-dependent…

Quantum Physics · Physics 2017-02-01 A. Bermudez , L. Tagliacozzo , G. Sierra , P. Richerme

Quantum simulation provides important tools in studying strongly correlated many-body systems with controllable parameters. As a hybrid of two fundamental models in quantum optics and in condensed matter physics, the Rabi-Hubbard model…

Quantum Physics · Physics 2022-05-02 Quanxin Mei , Bowen Li , Yukai Wu , Minglei Cai , Ye Wang , Lin Yao , Zichao Zhou , Luming Duan

We study the effective spin-orbital model for honeycomb-layered transition metal compounds, applying the second-order perturbation theory to the three-orbital Hubbard model with the anisotropic hoppings. This model is reduced to the Kitaev…

Strongly Correlated Electrons · Physics 2018-04-04 Akihisa Koga , Shiryu Nakauchi , Joji Nasu

We show that networks of topological nanowires can realize the physics of exactly solvable Kitaev spin models with two-body interactions. This connection arises from the description of the low-energy theory of both systems in terms of a…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 Graham Kells , Ville Lahtinen , Jiri Vala

Kitaev model has both Abelian and non-Abelian anyonic excitations. It can act as a starting point for topological quantum computation. However, this model Hamiltonian is difficult to implement in natural condensed matter systems. Here we…

Quantum Physics · Physics 2012-09-10 Ze-Liang Xiang , Ting Yu , Wenxian Zhang , Xuedong Hu , J. Q. You

In the study of quantum spin liquids, the Kitaev model plays a pivotal role due to the fact that its ground state is exactly known as well as the fact that it may be realized in strongly frustrated materials such as ${\alpha}$-RuCl${}_3$.…

Strongly Correlated Electrons · Physics 2025-05-13 Axel Fünfhaus , Mikel García-Díez , M. G. Vergniory , Thilo Kopp , Stephen M. Winter , Roser Valentí

We present an architecture for the quantum simulation of many-body spin interactions based on ultracold polar molecules trapped in optical lattices. Our approach employs digital quantum simulation, i.e., the dynamics of the simulated system…

Quantum Gases · Physics 2015-02-20 Hendrik Weimer

One path to realizing systems of trapped atomic ions suitable for large-scale quantum computing and simulation is to create a two-dimensional array of ion traps. Interactions between nearest-neighbouring ions could then be turned on and off…

We theoretically show that the Kitaev interaction generates a novel class of spin texture in the excitation spectrum of the antiferromagnetic insulator found in the Kitaev-Heisenberg-$\Gamma$ model. In conducting electronic systems, there…

Strongly Correlated Electrons · Physics 2019-11-07 Masataka Kawano , Chisa Hotta

We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range…

Strongly Correlated Electrons · Physics 2008-06-01 Roman Schmied , Tommaso Roscilde , Valentin Murg , Diego Porras , J. Ignacio Cirac

Quantum simulations of many-body systems are among the most promising applications of quantum computers. In particular, models based on strongly-correlated fermions are central to our understanding of quantum chemistry and materials…

Using superconducting quantum circuits, we propose an approach to construct a Kitaev lattice, i.e., an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions. We study two particular cases to…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. Q. You , Xiao-Feng Shi , Franco Nori

Electron transfer is at the heart of many fundamental physical, chemical, and biochemical processes essential for life. The exact simulation of these reactions is often hindered by the large number of degrees of freedom and by the essential…

Quantum mechanics dominates various effects in modern research from miniaturizing electronics, up to potentially ruling solid-state physics, quantum chemistry and biology. To study these effects experimental quantum systems may provide the…

Quantum Physics · Physics 2019-09-11 Frederick Hakelberg , Philip Kiefer , Matthias Wittemer , Ulrich Warring , Tobias Schaetz

Quantum spin models find applications in many different areas, such as spintronics, high-Tc superconductivity, and even complex optimization problems. However, studying their many-body behaviour, especially in the presence of frustration,…

Quantum Physics · Physics 2022-03-23 Miguel Bello , Gloria Platero , Alejandro González-Tudela

Highly frustrated spin systems represent a central and challenging problem in condensed mater physics. To this problem, we introduce an algorithm based on mixed projected entangled pair states (m-PEPS), which is a novel type of tensor…

Strongly Correlated Electrons · Physics 2013-05-03 Huan He , Zhen Wang , Chuanfeng Li , YongJian Han , Guangcan Guo
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