Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Obuse, Hideaki"'
Quantum spin Hall insulators, which possess a non-trivial $\mathbb{Z}_2$ topological phase, have attracted great attention for two decades. It is generally believed that when an even number of layers of the quantum spin Hall insulators are stacked, t
Externí odkaz:
http://arxiv.org/abs/2407.20759
Publikováno v:
Phys. Rev. B 109, 235408 (2024)
Non-Hermitian systems exhibit richer topological properties compared to their Hermitian counterparts. It is well known that non-Hermitian systems have been classified based on either the symmetry relations for non-Hermitian Hamiltonians or the symmet
Externí odkaz:
http://arxiv.org/abs/2403.04147
The main aim of the present paper is to define an active matter in a quantum framework and investigate difference and commonalities of quantum and classical active matters. Although the research field of active matter has been expanding wider, most r
Externí odkaz:
http://arxiv.org/abs/2305.15319
Autor:
Hwang, Geonhwi, Obuse, Hideaki
Publikováno v:
Phys. Rev. B 108, L121302 (2023)
The bulk-edge correspondence is one of the most important ingredients in the theory of topological phases of matter. While the bulk-edge correspondence is applicable for Hermitian junction systems where two subsystems with independent topological inv
Externí odkaz:
http://arxiv.org/abs/2305.08548
Autor:
Kawasaki, Makio, Obuse, Hideaki
We study a topological phase in the dissipative Kitaev chain described by the Markovian quantum master equation. Based on the correspondence between Lindbladians, which generate the dissipative time-evolution, and non-Hermitian matrices, Lindbladians
Externí odkaz:
http://arxiv.org/abs/2301.08446
Publikováno v:
Phys. Rev. A 107, 042206 (2023)
We propose a new multi-dimensional discrete-time quantum walk (DTQW), whose continuum limit is an extended multi-dimensional Dirac equation, which can be further mapped to the Schr\"{o}dinger equation. We show in two ways that our DTQW is an excellen
Externí odkaz:
http://arxiv.org/abs/2212.13044
Dissipative dynamics of quantum systems can be classified topologically based on the correspondence between the Lindbladian in the Gorini-Kossakowski-Sudarshan-Lindblad equation and the non-Hermitian Hamiltonian in the Schr\"{o}dinger equation. While
Externí odkaz:
http://arxiv.org/abs/2201.09283
Publikováno v:
Phys. Rev. B 105, 094306 (2022)
Bulk-boundary correspondence is a fundamental principle for topological phases where bulk topology determines gapless boundary states. On the other hand, it has been known that corner or hinge modes in higher order topological insulators may appear d
Externí odkaz:
http://arxiv.org/abs/2112.03167
Autor:
Hatano, Naomichi, Obuse, Hideaki
Delocalization transition is numerically found in a non-Hermitian extension of a discrete-time quantum walk on a one-dimensional random medium. At the transition, an eigenvector gets delocalized and at the same time the corresponding energy eigenvalu
Externí odkaz:
http://arxiv.org/abs/2107.10420
Publikováno v:
Phys. Rev. E 102, 012101 (2020)
We explore the eigenvalue statistics of a non-Hermitian version of the Su-Schrieffer-Heeger model, with imaginary on-site potentials and randomly distributed hopping terms. We find that owing to the structure of the Hamiltonian, eigenvalues can be pu
Externí odkaz:
http://arxiv.org/abs/2005.02705