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We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S >= 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin…

There is growing interest to investigate states of matter with topological order, which support excitations in the form of anyons, and which underly topological quantum computing. Examples of such systems include lattice spin models in two…

量子物理 · 物理学 2007-05-23 A. Micheli , G. K. Brennen , P. Zoller

We demonstrate that ultracold symmetric top molecules loaded into an optical lattice can realize highly tunable and unconventional models of quantum magnetism, such as an XYZ Heisenberg spin model. We show that anisotropic dipole-dipole…

量子气体 · 物理学 2015-03-20 M. L. Wall , K. Maeda , L. D. Carr

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…

强关联电子 · 物理学 2022-07-29 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

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…

强关联电子 · 物理学 2010-05-20 Fa Wang

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

强关联电子 · 物理学 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

We derive a theory for the generation of arbitrary spin-spin interactions in superconducting circuits via periodic time modulation of the individual qubits or the qubit-qubit interactions. The modulation frequencies in our approach are in…

量子物理 · 物理学 2019-01-23 Mahdi Sameti , Michael J. Hartmann

We present a technique for engineering quantum magnets via ultracold polar molecules in optical lattices and explore exotic interplay between its spin superfluidity and solidity. The molecular ground and first excited rotational states are…

量子气体 · 物理学 2009-10-27 Hongyi Yu , W. M. Liu , Chaohong Lee

Honeycomb lattice Kitaev magnets exhibit exotic magnetic properties governed by the Kitaev interaction. This study delves into $\alpha$-RuCl$_3$, a prototypical example described by effective Hamiltonians encompassing bond-dependent Kitaev…

强关联电子 · 物理学 2025-05-29 Hamid Mosadeq , Mohammad-Hossein Zare

The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a centre of attraction, since a microscopic theory to realize such an interaction in solid-state materials was discovered. A challenge…

强关联电子 · 物理学 2022-05-20 Jiefu Cen , Hae-Young Kee

We analyze the gapped phase of the Kitaev honeycomb model perturbatively in the isolated-dimer limit. Our analysis is based on the continuous unitary transformations method which allows one to compute the spectrum as well as matrix elements…

其他凝聚态物理 · 物理学 2009-01-13 J. Vidal , K. P. Schmidt , S. Dusuel

The exactly solvable spin-1/2 Kitaev model on a honeycomb lattice has drawn significant interest, as it offers a pathway to realizing the long-sought after quantum spin liquid. Building upon the Kitaev model, Yao and Lee introduced another…

强关联电子 · 物理学 2025-03-12 Derek Churchill , Emily Z. Zhang , Hae-Young Kee

We show that dipolar interactions between ultracold polar alkali dimers in optical lattices can be used to realize a highly tunable generalization of the t-J model, which we refer to as the t-J-V-W model. The model features long-range…

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…

We propose high-spin $\Sigma$-state polar molecules assembled from ultracold atoms to probe charge-parity violating physics beyond the Standard Model. We identify YbCr as a prime candidate to search for the electric dipole moment of the…

量子气体 · 物理学 2026-03-16 Alessio Ciamei , Adam Koza , Marcin Gronowski , Michał Tomza

We study the rare-earth magnets on a honeycomb lattice, and are particularly interested in the experimental consequences of the highly anisotropic spin interaction due to the spin-orbit entanglement. We perform a high-temperature series…

强关联电子 · 物理学 2020-10-06 Zhu-Xi Luo , Gang Chen

We propose a scheme to realize a pseudospin-$1/2$ model of the $^{1}\Sigma(v=0)$ bialkali polar molecules with the spin states corresponding to two sublevels of the first excited rotational level. We show that the effective dipole-dipole…

量子气体 · 物理学 2015-09-30 Y. Deng , S. Yi

The Kitaev interaction in a honeycomb lattice with higher-spin $S$ has been one of the central attractions, as it may offer quantum spin liquids. A microscopic theory showed that when the Hund's coupling at the transition metal generates…

强关联电子 · 物理学 2024-01-23 Jiefu Cen , Hae-Young Kee

Intensive studies of the interplay between spin-orbit coupling (SOC) and electronic correlations in transition metal compounds have recently been undertaken. In particular, $j_{\rm eff}$ = 1/2 bands on a honeycomb lattice provide a pathway…

强关联电子 · 物理学 2015-06-24 Heung-Sik Kim , V. Vijay Shankar , Andrei Catuneanu , Hae-Young Kee

We show that ultracold polar diatomic or linear molecules, oriented in an external electric field and mutually coupled by dipole-dipole interactions, can be used to realize the exact Heisenberg XYZ, XXZ and XY models without invoking any…

量子物理 · 物理学 2022-11-09 Wenjing Yue , Qi Wei , Sabre Kais , Bretislav Friedrich , Dudley Herschbach
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