Synthesis of antisymmetric spin exchange interaction and chiral spin clusters in superconducting circuits

Wang, Da-Wei; Song, Cunxian; Feng, Wei; Cai, Han; Xu, Da; Deng, Hui; Li, Hekang; Zheng, Dewen; Zhu, Xiaobo; Wang, H.; Zhu, Shi‐Yao; Scully, Marlan O.

doi:10.1038/s41567-018-0400-9

Cited by 81 publications

(34 citation statements)

References 36 publications

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“…After the first discovery of topological phases, comprehensive studies both in theory and experiment have been carried to create, classify, and comprehend these exotic phases. Until now, various types of systems have been found to display topological properties, including photonic, [ 5,6 ] solid, [ 7,8 ] acoustic, [ 9,10 ] atomic, [ 11–13 ] and electronic [ 14,15 ] systems.…”

Section: Introductionmentioning

confidence: 99%

Edge States in 1D Rhombus Lattices

Zhang

et al. 2021

Annalen der Physik

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The band structure and topological properties of a 1D rhombus lattice are studied by defining three models according to the manners of intracell hopping amplitudes. Results show that in the presence of uniform intracell hopping amplitudes, degenerate topological edge states appear at the ends of the lattice. When the intracell hopping amplitudes change, the edge states change in different ways, but they are robust to a small amount of disorder. The inversion symmetry breaking modifies the degeneracy of the edge states and makes the edge states localized at one end of the lattice. Next, when local magnetic flux is introduced, the band structures of the three models are further modulated. New gaps can be opened and edge states can be induced with their different topological properties. This rhombus lattice can be a promising candidate for studying the edge states and their dependence on structural parameters and magnetic flux in 1D systems.

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Section: Introductionmentioning

confidence: 99%

Edge States in 1D Rhombus Lattices

Zhang

et al. 2021

Annalen der Physik

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“…Much attention has been given so far to the case where the currents exhibit a circular flow, which can be made clockwise or anticlockwise by changes in the gauge‐invariant phase. [ 18,19 ] Here we will show that the analysis of currents give important insights into the mechanism by which the number of excitations transferred from one site to another is maximized by adiabatic processes.…”

Section: Resultsmentioning

confidence: 99%

“…Engineered systems that realize the same spin physics have been proposed in circuit QED [ 17 ] and later realized experimentally. [ 18,19 ] Related devices displaying non‐reciprocality and broken time‐reversal symmetry have been realized in nanomechanics [ 20–23 ] and in degenerate ultracold gases. [ 24 ]…”

Section: Introductionmentioning

confidence: 99%

Simulating Spin Chains Using a Superconducting Circuit: Gauge Invariance, Superadiabatic Transport, and Broken Time‐Reversal Symmetry

Vepsäläinen

Paraoanu

2020

Adv Quantum Tech

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Simulation of materials by using quantum processors is envisioned to be a major direction of development in quantum information science. Here, the mathematical analogies between a triangular spin lattice with Dzyaloshinskii-Moriya coupling on one edge and a three-level system driven by three fields in a loop configuration are exploited to emulate spin-transport effects. It is shown that the spin transport efficiency, seen in the three-level system as population transfer, is enhanced when the conditions for superadiabaticity are satisfied. It is demonstrated experimentally that phenomena characteristic to spin lattices due to gauge invariance, non-reciprocity, and broken time-reversal symmetry can be reproduced in the three-level system.

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“…For Landau-Zener tunneling, the atom can be in the excited state and thus it also requires T a 1 , T a 2 ≥ T , T \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}$w$\end{document} , where T a 1 and T a 2 are the lifetime and decoherence time of the qubit. The state-of-the-art parameters are T R ≈ 20 μs, T a 1 ≈ 20 μs, T a 2 ≈ 2 μs, g ≈ 2π × 50 MHz [ 52 ] and T \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}$w$\end{document} ≈ 450 ns [ 53 ]. If we adopt a reasonable T = 200 ns for δ = 2π × 5 MHz, the above conditions can be satisfied with excitation number N = 10, which is sufficient to observe the topological phenomena.…”

Section: Discussionmentioning

confidence: 99%

Topological phases of quantized light

Cai

Wang

2020

National Science Review

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Topological photonics is an emerging research area that focuses on the topological states of classical light. Here we reveal the topological phases that are intrinsic to the quantum nature of light, i.e., solely related to the quantized Fock states and the inhomogeneous coupling strengths between them. The Hamiltonian of two cavities coupled with a two-level atom is an intrinsic one-dimensional Su-Schriefer-Heeger model of Fock states. By adding another cavity, the Fock-state lattice is extended to two dimensions with a honeycomb structure, where the strain due to the inhomogeneous coupling strengths of the annihilation operator induces a Lifshitz topological phase transition between a semimetal and three band insulators within the lattice. In the semimetallic phase, the strain is equivalent to a pseudomagnetic field, which results in the quantization of the Landau levels and the valley Hall effect. We further construct an inhomogeneous Fock-state Haldane model where the topological phases can be characterized by the topological markers. With d cavities being coupled to the atom, the lattice is extended to d − 1 dimensions without an upper limit. This study demonstrates a fundamental distinction between the topological phases in quantum and classical optics and provides a novel platform for studying topological physics in dimensions higher than three.

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Synthesis of antisymmetric spin exchange interaction and chiral spin clusters in superconducting circuits

Cited by 81 publications

References 36 publications

Edge States in 1D Rhombus Lattices

Edge States in 1D Rhombus Lattices

Simulating Spin Chains Using a Superconducting Circuit: Gauge Invariance, Superadiabatic Transport, and Broken Time‐Reversal Symmetry

Topological phases of quantized light

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