Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators

Lv, Qing-Xian; Du, Yan-Xiong; Liang, Zhen-Tao; Liu, Hongzhi; Liang, Jia-Hao; Chen, Lin-Qing; Zhou, Liming; Zhang, Shanchao; Zhang, Dan‐Wei; Ai, Bao-quan; Yan, Hui; Zhu, Shi-Liang

doi:10.1103/physrevlett.127.136802

Cited by 27 publications

(9 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The left-hand side of the equation is called the generalized force. This remarkable finding can benefit the direct measurement of the Berry curvature and even the topological transition [33][34][35][36], regardless of the system's size and interaction strength. On the other hand, in the work [31,37] they achieve a similar result concerning the quan-…”

Section: Introductionmentioning

confidence: 81%

Direct measurement of quantum Fisher information

Zhang¹,

Lu²,

Liu³

et al. 2022

Preprint

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 81%

Direct measurement of quantum Fisher information

Zhang¹,

Lu²,

Liu³

et al. 2022

Preprint

View full text Add to dashboard Cite

“…Experimental results.-In practice, we detect the specific metrics to study the topological properties of physical models, here we constructed the Bernevig-Hughes-Zhang (BHZ) model as an example to demonstrate this scheme [58,61,62]. The BHZ model is closely related to the spin-Hall effect, which can be characterized by the spin Chern numbers.…”

mentioning

confidence: 99%

Measuring Quantum Geometric Tensor of Non-Abelian System in Superconducting Circuits

Zheng¹,

Xu²,

Ma³

et al. 2022

Chinese Phys. Lett.

View full text Add to dashboard Cite

Topology played an important role in physics research during the last few decades. In particular, the quantum geometric tensor that provides local information about topological properties has attracted much attention. It will reveal interesting topological properties but have not been measured in non-Abelian systems. Here, we use a four-qubit quantum system in superconducting circuits to construct a degenerate Hamiltonian with parametric modulation. By manipulating the Hamiltonian with periodic drivings, we simulate the Bernevig-Hughes-Zhang model and obtain the quantum geometric tensor from interference oscillation. In addition, we reveal its topological feature by extracting the topological invariant, demonstrating an effective protocol for quantum simulation of non-Abelian system.

show abstract

“…In a respective insulating region, C S is analogous to σ S xy with the alternative representation σ S xy = 2C S • e/(4π), and it is well known that C S = 1 provides an equivalent characterizatio to Z 2 = 1 for the QSH insulators [61]. Although spin is no longer a good quantum number after including SOC, C S can still be defined, as C S = (C + − C − )/2, if the spectrum of the projected spin operator is gaped [61], and quite recently has been experimentally detected [62]. C + and C − are Chern numbers of the spin-up and spin-down manifolds given by C ± = 1/(2π) BZ Ω ± (k)d 2 k, where Ω ± (k) are the Berry curvatures of all occupied bands constructed from respective spin states, calculated according to Ω ± (k) = 2Im occ n ∂ kx u ± kn |∂ ky u ± kn [63].…”

mentioning

confidence: 99%

Doubled Quantum Spin Hall Effect with High-Spin Chern Number in $α$-Antimonene and $α$-Bismuthene

Bai,

Cai,

Mao

et al. 2022

Preprint

View full text Add to dashboard Cite

The discovery of quantum spin Hall effect has ignited the field of topological physics with vast variety of exotic properties. Here, we present the emergence of doubled quantum spin Hall effect in two dimensions characterized with a high spin Chern number of CS = 2 and two pairs of helical edge states. Although is overlooked and invisible in topological quantum chemistry and symmetry indicator theory, the already experimentally synthesized α-antimonene and α-bismuthene are revealed as realistic material candidates of predicted topological states with band inversions emerging at generic k-points, rather than the high-symmetry momenta. Remarkably, the nontrivial energy gap can be as large as 464 meV for α-bismuthene, indicating the high possibility of room-temperature observation of the doubled quantum spin Hall effect. Moreover, a four-band effective model is constructed to demonstrate further the feasibility of attaining this type of nontrivial topology. Our results not only uncover a novel topological character of antimony and bismuth, but will also facilitate the experimental characterization of the previously overlooked hidden topology.

show abstract

Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators

Cited by 27 publications

References 46 publications

Direct measurement of quantum Fisher information

Direct measurement of quantum Fisher information

Measuring Quantum Geometric Tensor of Non-Abelian System in Superconducting Circuits

Doubled Quantum Spin Hall Effect with High-Spin Chern Number in $α$-Antimonene and $α$-Bismuthene

Contact Info

Product

Resources

About