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学者姓名：王寰宇
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Abstract ：
Bulk-boundary correspondence (BBC) remains the central topic in modern condensed matter physics and has received a boost of interest with the recent discovery of non-Hermitian skin effects. However, there still exist profound features of BBC that are beyond the existing framework. Here, we report the unexpected behavior of BBC when the Hamiltonian contains terms of the form d0(k)I , which serves as a momentum dependent energy shift. For Hermitian cases, the momentum dependent energy shift can force the system to be metallic, where topological phase transitions can take place with the upper and the lower bands kept untouched. The modified BBC should be reconstructed from the perspective of the indirect band gap. In non-Hermitian cases, skin effects are found to be capable of coexisting with the preserved BBC, of which the process can be greatly facilitated by the complex d0(k)I . Remarkably, such results can be led to a further step, and contrary to the intuition, the modified BBC in Hermitian systems can be restored to be conventional by including extra non-Hermiticity. The physical origin for these phenomena lies in that d0(k)I can drastically change the point gap topology. Finally, the corresponding experimental simulations are proposed via the platforms of electric circuits.
Keyword ：
bulk-boundary correspondence bulk-boundary correspondence double side discontinuous non-Hermitian skin effect double side discontinuous non-Hermitian skin effect momentum dependent energy shift momentum dependent energy shift
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| GB/T 7714 | Wang, Huan-Yu , Yang, Zhen-Biao , Liu, Wu-Ming . Bulk-boundary correspondence in topological systems with the momentum dependent energy shift [J]. | QUANTUM SCIENCE AND TECHNOLOGY , 2024 , 9 (2) . |
| MLA | Wang, Huan-Yu 等. "Bulk-boundary correspondence in topological systems with the momentum dependent energy shift" . | QUANTUM SCIENCE AND TECHNOLOGY 9 . 2 (2024) . |
| APA | Wang, Huan-Yu , Yang, Zhen-Biao , Liu, Wu-Ming . Bulk-boundary correspondence in topological systems with the momentum dependent energy shift . | QUANTUM SCIENCE AND TECHNOLOGY , 2024 , 9 (2) . |
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Abstract ：
Time periodic driving can serve as synthetic gauge fields and plays a key role in simulating dynamical topological materials. The periodically driven systems, where different spins (or sublattices) are engaged in the different dynamical driving processes are investigated. It is demonstrated that spin-dependent time-periodical periodic driving can result in shifted topological edge modes with non-zero (nor +/- omega/2) quasi-energies. Such shifted topological edge modes are not only related to the spin imbalance at each instantaneous time, but also the details of the dynamical driving. Here, it is also illustrated that the spin-dependent time-periodical driving can be conceived as the time-spin coupling, and similar to the static spatial spin-orbit coupling, tuning time-spin coupling parameters can lead to topological phase transitions. Experimental simulations on the spin-dependent time-periodic driving are proposed by shaking optical super-lattices and Raman assisted tunneling.
Keyword ：
shifted edge modes shifted edge modes spin-dependent time-periodic driving spin-dependent time-periodic driving topological phase transitions topological phase transitions
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| GB/T 7714 | Wang, Huan-Yu , Wu, Huai-Zhi , Zhao, Erhai et al. Inducing Shifted Edge Modes by the Spin-Dependent Time-Periodical Driving and the Corresponding Topological Phase Transitions [J]. | ADVANCED QUANTUM TECHNOLOGIES , 2023 , 6 (6) . |
| MLA | Wang, Huan-Yu et al. "Inducing Shifted Edge Modes by the Spin-Dependent Time-Periodical Driving and the Corresponding Topological Phase Transitions" . | ADVANCED QUANTUM TECHNOLOGIES 6 . 6 (2023) . |
| APA | Wang, Huan-Yu , Wu, Huai-Zhi , Zhao, Erhai , Wang, Ru-Quan , Wang, Xun-Gao , Liu, Wu-Ming . Inducing Shifted Edge Modes by the Spin-Dependent Time-Periodical Driving and the Corresponding Topological Phase Transitions . | ADVANCED QUANTUM TECHNOLOGIES , 2023 , 6 (6) . |
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Abstract ：
We have constructed a new type of topological end mode, named eta, satisfying eta(dagger) = i eta, eta(2) = -i, and demonstrate the topological characteristics of a quantum chain with isolated & eta; modes on separated ends. Remarkably, we present that for a non-Hermitian superconductive chain with combined eta mode and Majorana mode gamma on different ends, the bulk-boundary correspondence is broken, even though the determinant of the transfer matrix is identity. When the tunneling parameters are tuned to make the system Hermitian, the bulk-boundary correspondence gets recovered. We demonstrate that such broken bulk-boundary correspondence has unique physical origins. Meanwhile, it is observed that the fractional Josephson effect does not exist in the junction with combined eta - gamma modes and the AC will not remain the sinusoidal form, despite of the well-defined fermion parity. Such effects can be utilized to detect the dissipation rate of the system. Experimentally, we propose to simulate chains with eta modes, as well as combined eta - gamma modes, via electrical circuits. (C) 2023 Elsevier B.V. All rights reserved.
Keyword ：
Broken bulk-boundary correspondence Broken bulk-boundary correspondence Topological end modes Topological end modes Transfer matrix Transfer matrix
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| GB/T 7714 | Wang, Huanyu , Liu, Wuming . Broken bulk-boundary correspondence in the non-Hermitian superconductive chain with the identity determinant of transfer matrix [J]. | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2023 , 619 . |
| MLA | Wang, Huanyu et al. "Broken bulk-boundary correspondence in the non-Hermitian superconductive chain with the identity determinant of transfer matrix" . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 619 (2023) . |
| APA | Wang, Huanyu , Liu, Wuming . Broken bulk-boundary correspondence in the non-Hermitian superconductive chain with the identity determinant of transfer matrix . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2023 , 619 . |
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We investigate the localization behavior of the non-Hermitian tightly bound state in the presence of asymmetric tunneling and external uniform fields in various dimensions, where the discrete translational symmetry and the inversion symmetry are broken. We demonstrate that the non-Hermitian skin effects can still exist and compete with Wannier-Stark localization induced by the uniform fields. The total localization is not only related to the size of the system, but the net tunneling strength as well. For the two-dimensional lattices with square shape boundaries, the uniform fields can pull back the population of the states at the corner and the fading stripe localization can be observed as a compromise between the two-dimensional non-Hermitian skin effects and the uniform fields. The experimental simulation of the non-Hermitian chain with uniform fields can be achieved by the methods of electrical circuits.
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| GB/T 7714 | Wang, Huan-Yu , Liu, Wu -Ming . Tightly bound states in a uniform field with asymmetric tunneling [J]. | PHYSICAL REVIEW A , 2022 , 106 (5) . |
| MLA | Wang, Huan-Yu et al. "Tightly bound states in a uniform field with asymmetric tunneling" . | PHYSICAL REVIEW A 106 . 5 (2022) . |
| APA | Wang, Huan-Yu , Liu, Wu -Ming . Tightly bound states in a uniform field with asymmetric tunneling . | PHYSICAL REVIEW A , 2022 , 106 (5) . |
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