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We propose a quantum protocol that allows preparing a ground state (GS) of the honeycomb Kitaev model. Our approach efficiently uses underlying symmetries and techniques from topological error correction. It is based on the stabilization…

Quantum Physics · Physics 2021-09-29 Tatiana A. Bespalova , Oleksandr Kyriienko

Kitaev's honeycomb model is a paradigmatic exactly solvable system hosting a quantum spin liquid with non-Abelian anyons and topologically protected edge modes, offering a platform for fault-tolerant quantum computation. However, real…

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 circuit elements, we propose an approach to experimentally construct a Kitaev lattice, which is an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions and having…

Superconductivity · Physics 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

Quantum spin liquids, a highly topologically entangled, dynamically correlated state where quantum fluctuations preclude any long-range ordering down to absolute zero. In the search for a topologically robust qubit, the scientific community…

Strongly Correlated Electrons · Physics 2026-02-11 Vivek Kumar , Pradeep Kumar

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Tessa Cookmeyer , Sankar Das Sarma

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

The family of "Kitaev materials" provides an ideal platform to study quantum spin liquids and their neighboring magnetic orders. Motivated by the possibility of a quantum spin liquid ground state in pressurized hyperhoneycomb iridate…

Strongly Correlated Electrons · Physics 2018-05-30 Biao Huang , Wonjune Choi , Yong Baek Kim , Yuan-Ming Lu

Kitaev quantum spin liquid, massively quantum entangled states, is so scarce in nature that searching for new candidate systems remains a great challenge. Honeycomb heterostructure could be a promising route to realize and utilize such an…

There have been tremendous experimental and theoretical efforts toward discovery of quantum spin liquid phase in honeycomb-based-lattice materials with strong spin-orbit coupling. Here the bond-dependent Kitaev interaction between local…

Strongly Correlated Electrons · Physics 2016-12-23 Heung-Sik Kim , Yong Baek Kim , Hae-Young Kee

The ground state fidelity per lattice site is shown to be able to detect quantum phase transitions for the Kitaev model on the honeycomb lattice, a prototypical example of quantum lattice systems with topological order. It is found that, in…

Strongly Correlated Electrons · Physics 2008-03-07 Jian-Hui Zhao , Huan-Qiang Zhou

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

Strongly Correlated Electrons · Physics 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

Ultracold atoms and molecules trapped in optical lattices are expected to serve as simulators of strongly correlated systems and topological states of matter. A fascinating example is to realize the Kitaev quantum spin liquid by using…

Strongly Correlated Electrons · Physics 2022-07-29 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin liquid [1], we study quantum circuit dynamics in…

Strongly Correlated Electrons · Physics 2022-07-08 Ali Lavasani , Zhu-Xi Luo , Sagar Vijay

A quantum spin liquid hosts massive quantum entanglement whose identification is one of the most significant problems in physics. Yet, its detection is known to be notoriously difficult because of featureless properties without a symmetry…

Strongly Correlated Electrons · Physics 2024-12-17 Minsu Park , Masafumi Udagawa , Eun-Gook Moon

The Kitaev model, which hosts a quantum spin liquid (QSL) in the ground state, was originally defined on a two-dimensional honeycomb lattice, but can be straightforwardly extended to any tricoordinate lattices in any spatial dimensions. In…

Strongly Correlated Electrons · Physics 2023-05-29 Kiyu Fukui , Yasuyuki Kato , Yukitoshi Motome

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also…

Strongly Correlated Electrons · Physics 2021-02-24 Ilia Khait , P. Peter Stavropoulos , Hae-Young Kee , Yong Baek Kim

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the…

Strongly Correlated Electrons · Physics 2018-02-27 Petr A. Mishchenko , Yasuyuki Kato , Yukitoshi Motome

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

Strongly Correlated Electrons · Physics 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle
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