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In a nondegenerate syste, the abelian Berry's phase will never cause transitions among the Hamiltonian's eigenstate. However, in a degenerate syatem, it is well known that the state transition can be caused by the non-abelian Berry phase.…

量子物理 · 物理学 2007-05-23 X. B. Wang , K. Matsumoto , H. Fan , A. Tomita , J. W. Pan

Laplacians on metric graphs are used to construct continuous families of Hamiltonians with different topological structure. One such family is used to demonstrate that Hamiltonians with real-valued eigenfunctions may possess non-trivial…

谱理论 · 数学 2026-05-12 Pavel Kurasov , Vladislav Shubin , Axel Tibbling

Recently, optical bound states in continuum in various passive photonic crystals have been identified and similar structures incorporated with optical gain have been reported to exhibit lasing. However, no explicit control over the type of…

A nodal link is a special form of a line degeneracy (a nodal line) between adjacent bands in the momentum space of a three-dimensional topological crystal. Unlike nodal chains or knots, a nodal link consists of two or more mutually-linked…

光学 · 物理学 2021-09-10 Haedong Park , Stephan Wong , Xiao Zhang , Sang Soon Oh

The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show controlled accumulation of the Berry phase in a two-level…

量子物理 · 物理学 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

Berry phase plays an important role in determining many physical properties of quantum systems. However, a Berry phase altering energy spectrum of a quantum system is comparatively rare. Here, we report an unusual tunable valley polarized…

介观与纳米尺度物理 · 物理学 2021-08-18 Ya-Ning Ren , Qiang Cheng , Qing-Feng Sun , Lin He

Topology is a powerful framework for controlling and manipulating light, minimizing detrimental perturbations on the photonic properties. Combining nanophotonics with topological concepts presents opportunities for both fundamental physics…

光学 · 物理学 2025-08-29 Grazia Salerno

It is nowadays a quite diffuse idea that variations of polarisation in condensed matter theory are related to a "Berry phase". The derivation of the latter geometric phase is correct $\it{only if}$ the restrictive periodic gauge\cite{KS-V}…

材料科学 · 物理学 2009-06-26 Simone Selenu

We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\nu_E$ and $\nu_{total}$, associated with complex energy vorticity and…

介观与纳米尺度物理 · 物理学 2018-11-16 Hui Jiang , Chao Yang , Shu Chen

Within the framework of exact quantum electrodynamics in dielectric, we study the topological Berry phase of a classically pumped $\Lambda$-type three-level atom, prepared initially in a superposition of its two pumped levels and located…

量子物理 · 物理学 2011-09-05 M. S. Ateto

The photocurrent in an optically active metal is known to contain a component that switches sign with the helicity of the incident radiation. At low frequencies, this current depends on the orbital Berry phase of the Bloch electrons via the…

介观与纳米尺度物理 · 物理学 2013-05-29 J. E. Moore , J. Orenstein

Liouville's theorem on the conservation of phase space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase space density of states, whose significance is discussed in…

介观与纳米尺度物理 · 物理学 2011-11-09 Di Xiao , Junren Shi , Qian Niu

The interplay among topology and interactions has been a promising path towards identifying novel phases of condensed matter beyond these predicted by the established classification paradigms. In the present work, we propose such a novel…

强关联电子 · 物理学 2026-04-20 Konstantinos Ladovrechis

Among non-Hermitian systems, pseudo-Hermitian phases represent a special class of physical models characterized by real energy spectra and by the absence of non-Hermitian skin effects. Here, we show that several pseudo-Hermitian phases in…

介观与纳米尺度物理 · 物理学 2021-11-09 Yan-Qing Zhu , Wen Zheng , Shi-Liang Zhu , Giandomenico Palumbo

The concepts of topology provide a powerful tool to tailor the propagation and localization of light. While electromagnetic waves have only two polarization states, engineered degeneracies of photonic modes provide novel opportunities…

We study the adiabatic evolution of a two-level model in the presence of an external classical electric field. The coupling between the quantum model and the classical field is taken in the electric dipole approximation. In this regime, we…

量子物理 · 物理学 2009-07-25 A. C. Aguiar Pinto , M. Moutinho , M. T. Thomaz

We formulate a framework for the depolarization of linearly polarized backscattered light based on the concept of geometric phase, {\it i.e} Berry's phase. The predictions of this theory are applied to the patterns formed by backscattered…

无序系统与神经网络 · 物理学 2009-09-07 D. Lacoste , V. Rossetto , F. Jaillon , H. Saint-Jalmes

We carry out a detailed analysis of the short-wave (semiclassical) approximation for the linear equations of the elasticity in a smoothly inhomogeneous isotropic medium. It is shown that the polarization properties of the transverse waves…

其他凝聚态物理 · 物理学 2008-11-26 K. Yu. Bliokh , V. D. Freilikher

We establish a steady-state theory for nonlinear optical conductivity in pseudo-Hermitian systems. We derive compact formulas for the first and second order conductivity tensors in both the velocity and length gauges and prove their exact…

介观与纳米尺度物理 · 物理学 2025-10-09 S. Sajad Dabiri , Reza Asgari

We demonstrate that dislocations in the graphene lattice give rise to electron Berry phases equivalent to quantized values {0,1/3,-1/3} in units of the flux quantum, but with an opposite sign for the two valleys. An elementary scale…

介观与纳米尺度物理 · 物理学 2011-08-04 Andrej Mesaros , Darius Sadri , Jan Zaanen