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Berry curvature physics and quantum geometric effects have been instrumental in advancing topological condensed matter physics in recent decades. Although Landau level-based flat bands and conventional 3D solids have been pivotal in…

Mesoscale and Nanoscale Physics · Physics 2024-05-16 Pratap Chandra Adak , Subhajit Sinha , Amit Agarwal , Mandar M. Deshmukh

Nodal lines inside the momentum space of three-dimensional crystalline solids are topologically stabilized by a $\pi$-flux of Berry phase. Nodal-line rings in $\mathcal{PT}$-symmetric systems with negligible spin-orbit coupling (here…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Apoorv Tiwari , Tomáš Bzdušek

We present a unified view of the Berry phase of a quantum system and its entanglement with surroundings. The former reflects the nonseparability between a system and a classical environment as the latter for a quantum environment, and the…

Quantum Physics · Physics 2013-12-30 Fu-Lin Zhang , Mai-Lin Liang

Here, we introduce and apply non-Abelian tensor Berry connections to topological phases in multi-band systems. These gauge connections behave as non-Abelian antisymmetric tensor gauge fields in momentum space and naturally generalize…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Giandomenico Palumbo

The central role that materials play in human history is exemplified by the three-age division of prehistory into the stone, bronze, and iron ages. References to our present time as the information age or silicon age epitomizes the…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Alex Shtyk , Claudio Chamon

Strong coupling between matter and quantized electromagnetic fields in a cavity has emerged as a possible route toward controlling the phase of matter in the absence of an external drive. We develop a faithful and efficient theoretical…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Kanta Masuki , Yuto Ashida

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

Despite the extensive studies of topological systems, the experimental characterizations of strongly nonlinear topological phases have been lagging. To address this shortcoming, we design and build elliptically geared isostatic…

Materials Science · Physics 2023-08-01 Fangyuan Ma , Zheng Tang , Xiaotian Shi , Ying Wu , Jinkyu Yang , Di Zhou , Yugui Yao , Feng Li

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

We establish a relation between entanglement in simple quantum mechanical qubit systems and in wormhole physics as considered in the context of the AdS/CFT correspondence. We show that in both cases, states with the same entanglement…

High Energy Physics - Theory · Physics 2022-04-26 Flavio S. Nogueira , Souvik Banerjee , Moritz Dorband , René Meyer , Jeroen van den Brink , Johanna Erdmenger

Berry phases offer a geometric perspective on wave propagation and are key to designing materials with topological wave transport. However, controlling Berry phases is challenging due to their dependence on global integrals over the…

Mesoscale and Nanoscale Physics · Physics 2024-10-14 Cyrill Bösch , Marc Serra-Garcia , Christian Böhm , Andreas Fichtner

A topological insulator is characterized by spin-momentum locking on its boundary. The spin momentum locking on the surface of a three dimensional topological insulator leads to the existence of a non-trivial Berry's phase which leads to…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , S. Jia , A. Fedorov , J. H. Dil , F. Meier , B. Slomski , J. Osterwalder , R. J. Cava , M. Z. Hasan

We present a quantum open-system approach to analyze the nonunitary dynamics of a superconducting qubit when it evolves under the influence of external noise. We consider the presence of longitudinal and transverse environmental…

Quantum Physics · Physics 2015-06-18 Fernando C. Lombardo , Paula I. Villar

We study the quantum propagator in the semiclassical limit with hard-wall potentials. We show that, upon each reflection by the hard wall, a Berry phase $\pi$ is accumulated and leads to interferences between different classical…

Condensed Matter · Physics 2015-06-24 Hsiu-Hau Lin , Tzay-Ming Hong

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…

Quantum Physics · Physics 2009-07-25 A. C. Aguiar Pinto , M. Moutinho , M. T. Thomaz

We investigate the dispersion topology of elastic lattices characterized by spatial stiffness modulation. The modulation is defined by the sampling of a two-dimensional surface, which provides the lattices with topological properties that…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Matheus I. N. Rosa , Raj Kumar Pal , José R. F. Arruda , Massimo Ruzzene

When continuous parameters in a QFT are varied adiabatically, quantum states typically undergo mixing---a phenomenon characterized by the Berry phase. We initiate a systematic analysis of the Berry phase in QFT using standard quantum…

High Energy Physics - Theory · Physics 2017-07-26 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynamics. We show how this perspective may be exploited to study…

Quantum Gases · Physics 2014-11-20 Hannah M. Price , Tomoki Ozawa , Iacopo Carusotto

Berry conjecture is central to understanding quantum chaos in isolated systems and foundational for the eigenstate thermalization hypothesis. Here we establish an open-system analogy of the Berry conjecture, connecting quantum steady states…

Quantum Physics · Physics 2025-09-19 Yaohua Li , Yunhan Wang , Yong-Chun Liu

We show that in conventional one-dimensional insulators excess charges created close to the boundaries of the system can be expressed in terms of the Berry phases associated with the electronic Bloch wave functions. Using this…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Guido van Miert , Carmine Ortix
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