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Related papers: Everything is a quantum Ising model

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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 perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Quantum Physics · Physics 2011-12-15 E. E. Edwards , S. Korenblit , K. Kim , R. Islam , M. -S. Chang , J. K. Freericks , G. -D. Lin , L. -M. Duan , C. Monroe

We propose a detailed analysis of datasets generated from simulations of two-dimensional quantum spin systems using the quantum Ising model at absolute zero temperature. Our focus is on examining how fundamental physical properties, energy,…

Quantum Physics · Physics 2024-11-13 Rodrigo Carmo Terin

We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the…

Quantum Physics · Physics 2007-05-23 P. Štelmachovič , V. Bužek

Hamiltonian engineering is an important approach for quantum information processing, when appropriate materials do not exist in nature or are unstable. So far there is no stable material for the Kitaev spin Hamiltonian with anisotropic…

Quantum Physics · Physics 2016-01-27 Tetsufumi Tanamoto , Keiji Ono , Yu-xi Liu , Franco Nori

Spin models are the prime example of simplified manybody Hamiltonians used to model complex, real-world strongly correlated materials. However, despite their simplified character, their dynamics often cannot be simulated exactly on…

Transistors play a vital role in classical computers, and their quantum mechanical counterparts could potentially be as important in quantum computers. Where a classical transistor is operated as a switch that either blocks or allows an…

Quantum Physics · Physics 2018-04-10 N. J. S. Loft , L. B. Kristensen , C. K. Andersen , N. T. Zinner

The quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatial direction of the bonds. It has remarkable symmetry properties and the ground state shows…

Quantum Gases · Physics 2017-01-19 Samuel Fernandez-Lorenzo , Juan Jose Garcia-Ripoll , Diego Porras

The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases…

Strongly Correlated Electrons · Physics 2018-08-15 Masanori Kishimoto , Katsuhiro Morita , Yukihiro Matsubayashi , Shigetoshi Sota , Seiji Yunoki , Takami Tohyama

We use Pauli Path simulation to variationally obtain parametrized circuits for preparing ground states of various quantum many-body Hamiltonians. These include the quantum Ising model in one dimension, in two dimensions on square and…

Quantum Physics · Physics 2026-03-11 Cheng-Ju Lin , Hrant Gharibyan , Vincent P. Su

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum…

The proliferation of quantum fluctuations and long-range entanglement presents an outstanding challenge for the numerical simulation of interacting spin systems with exotic ground states. Here, we present a toolset of Chebyshev…

Strongly Correlated Electrons · Physics 2024-02-28 Francisco M. O. Brito , Aires Ferreira

The exactly solvable Kitaev honeycomb lattice model is realized as the low energy effect Hamiltonian of a spin-1/2 model with spin rotation and time-reversal symmetry. The mapping to low energy effective Hamiltonian is exact, without…

Strongly Correlated Electrons · Physics 2010-05-20 Fa Wang

We study the ground-state properties of a quantum "sunburst model", composed of a quantum Ising spin-ring in a transverse field, symmetrically coupled to a set of ancillary isolated qubits, to maintain a residual translation invariance and…

Statistical Mechanics · Physics 2022-05-11 Alessio Franchi , Davide Rossini , Ettore Vicari

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

A quantum simulator is a well controlled quantum system that can simulate the behavior of another quantum system which may require exponentially large classical computing resources to understand otherwise. In the 1980s, Feynman proposed the…

Quantum annealing is a novel type of analog computation that aims to use quantum mechanical fluctuations to search for optimal solutions of Ising problems. Quantum annealing in the transverse field Ising model, implemented on D-Wave…

Quantum Physics · Physics 2023-06-13 Elijah Pelofske

Determining properties of ground states of spin Hamiltonians remains a topic of central relevance connecting disciplines of mathematical, theoretical and applied physics. In the last few decades, ground state properties of physical systems…

Quantum Physics · Physics 2021-12-28 Jacob Biamonte

We explore the phase diagram of the Kitaev-Heisenberg model with nearest neighbor interactions on the honeycomb lattice using the exact diagonalization of finite systems combined with the cluster mean field approximation, and supplemented…

Strongly Correlated Electrons · Physics 2017-02-01 Dorota Gotfryd , Juraj Rusnačko , Krzysztof Wohlfeld , George Jackeli , Jiří Chaloupka , Andrzej M. Oleś

Preparing ground states of Hamiltonians is important in the condensed matter physics and the quantum chemistry. The interaction Hamiltonians typically contain not only diagonal but also off-diagonal elements. Although quantum annealing…

Quantum Physics · Physics 2022-05-18 Takashi Imoto , Yuya Seki , Yuichiro Matsuzaki
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