Generic theory of characterizing topological phases under quantum slow dynamics

Fang, Panpan; Wang, Yixiang; Li, Fuxiang

doi:10.1103/physreva.106.022219

Cited by 5 publications

(4 citation statements)

References 57 publications

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“…But it points out that slow quench protocol also provides a more efficient method in characterizing the topological phases. [32,33]…”

Section: Quench Dynamicsmentioning

confidence: 99%

“…Here, we define the position (P + − P − ) = 0 as SIS. [32,33] Before discussing the specific topological models, it should be mentioned that the nonadiabatic protocol is readily accessible in ultracold atomic experiments by using a bias magnetic field to simulate the time-changing part of the quenching axis. [25,26] Furthermore, the spin polarization can be measured by using the spin-resolved time-of-flight imaging.…”

Section: One Can Obtain a Physically Equivalent Hamiltonian By An Uni...mentioning

confidence: 99%

“…The dynamical characterization of the 3D chiral topological insulators only needs the introduction of 1-BIS and 1-SIS (low-order), while the characterization of the Z 2 topological insulators needs the introduction of high-order BIS and highorder SIS. [33]…”

Section: The Nonadiabatic Characterization Of Topological Phasesmentioning

confidence: 99%

“…We show that, in such systems, the dynamics is controlled by an effective 3 × 3 Hamiltonian. Therefore, when considering the slow quench dynamics starting from the deep trivial phases to the topological phases, [32,33] one encounters a nontrivial three-state Landau-Zener (LZ) problem. By investigating the intrinsic symmetry of scattering matrix and utilizing the integrability conditions, [34][35][36][37] we solve this new LZ model, thus adding a new ingredient into the class of exactly solvable timedependent models.…”

Section: Introductionmentioning

confidence: 99%

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Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases

Fang

Sun

et al. 2023

Chinese Phys. B

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Previous studies have shown that the bulk topology of single-particle systems can be captured by the band inversion surface or by the spin inversion surface emerged on the time-averaged spin polarization. Most of the studies, however, are based on the single-particle picture even though the systems are fermionic and of multi-bands. Here, we study the slow quench dynamics of topological systems with all the valence bands fully occupied, and show that the concepts of band inversion surface and spin inversion surface are still valid. More importantly, the many-particle nonadiabatic quench dynamics is shown to be reduced to a new and nontrivial three-level Landau-Zener model. This nontrivial three-level Landau-Zener problem is then solved analytically by applying the integrability condition and symmetry considerations, and thus adds a new member to the few models that are exactly solvable. Based on the analytical results, the topological spin texture revealed by the time-averaged spin polarization can be applied to characterize the bulk topology and thus provides a direct comparison for future experiments.

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“…But it points out that slow quench protocol also provides a more efficient method in characterizing the topological phases. [32,33]…”

Section: Quench Dynamicsmentioning

confidence: 99%