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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…

Quantum Physics · Physics 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

The Berry connection plays a central role in our description of the geometric phase and topological phenomena. In condensed matter, it describes the parallel transport of Bloch states and acts as an effective "electromagnetic" vector…

Mesoscale and Nanoscale Physics · Physics 2019-01-31 Giandomenico Palumbo , Nathan Goldman

I generalize the concept of Berry's geometrical phase for quasicyclic Hamiltonians to the case in which the ground state evolves adiabatically to an excited state after one cycle, but returns to the ground state after an integer number of…

Superconductivity · Physics 2009-10-31 A. A. Aligia

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…

Mesoscale and Nanoscale Physics · Physics 2011-08-04 Andrej Mesaros , Darius Sadri , Jan Zaanen

Recent discoveries have demonstrated that matter can be distinguished on the basis of topological considerations, giving rise to the concept of topological phase. Introduced originally in condensed matter physics, the physics of topological…

Plasma Physics · Physics 2021-07-01 Jeffrey B. Parker

Under symmetry breaking, a three-dimensional nodal-line semimetal can turn into a topological insulator or Weyl semimetal, accompanied by the generation of momentum-space Berry curvature. We develop a theory that unifies their circular…

Materials Science · Physics 2018-01-31 Ying Liu , Shengyuan A. Yang , Fan Zhang

We formulate a continuous-variable quantum computing (CVQC) algorithm to study Berry's phase on photonic quantum computers. We demonstrate that CVQC allows the simulation of charged particles with orbital angular momentum under the…

Quantum Physics · Physics 2025-11-26 Steven Abel , Iwo Wasek , Simon Williams

We propose the semiclassical quantization for complicated electron systems governed by a many-band Hamiltonian. An explicit analytical expression of the corresponding Berry phase is derived. This impact allows us to evaluate the Landau…

Mesoscale and Nanoscale Physics · Physics 2012-03-02 A. Yu. Ozerin , L. A. Falkovsky

We study quasiparticle dynamics in a Bose-Einstein condensate with a vortex by following the center of mass motion of a Bogoliubov wavepacket, and find important Berry phase effects due to the background flow. We show that Berry phase…

Statistical Mechanics · Physics 2009-11-11 Chuanwei Zhang , Artem M. Dudarev , Qian Niu

We study and present the results of Berry connection for the topological states in quantum matter. The Berry connection plays a central role in the geometric phase and topological phenomenon in quantum many-body system. We present the…

Strongly Correlated Electrons · Physics 2019-06-12 Y R Kartik , Rahul S , Ranjith Kumar R , Sujit Sarkar

A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH)…

Materials Science · Physics 2015-05-27 A. A. Taskin , Yoichi Ando

We propose classification schemes for characterizing two-dimensional topological phases with nontrivial weak indices. Here, "weak" implies that the Chern number in the corresponding phase is trivial, while the system shows edge states along…

Mesoscale and Nanoscale Physics · Physics 2014-10-31 Yukinori Yoshimura , Ken-Ichiro Imura , Takahiro Fukui , Yasuhiro Hatsugai

Dirac nodal-line semimetals with the linear bands crossing along a line or loop, represent a new topological state of matter. Here, by carrying out magnetotransport measurements and performing first-principle calculations, we demonstrate…

We propose a pair of the complex Berry curvatures associated with the non-Hermitian Hamiltonian and its Hermitian adjoint to reveal new physics in non-Hermitian systems. We give the complex Berry curvature and Berry phase for the…

Quantum Physics · Physics 2021-01-05 Annan Fan , Guang-Yao Huang , Shi-Dong Liang

Geometrical phases, such as the Berry phase, have proven to be powerful concepts to understand numerous physical phenomena, from the precession of the Foucault pendulum to the quantum Hall effect and the existence of topological insulators.…

Fluid Dynamics · Physics 2021-05-12 Nicolas Perez , Pierre Delplace , Antoine Venaille

The topological quantum states in two-dimensional (2D) materials are fascinating subjects of research, which usually highlight electron-related systems. In this work, we present a recipe that leads to Dirac phonon states with quantized…

Mesoscale and Nanoscale Physics · Physics 2018-11-26 Yuanjun Jin , Rui Wang , Hu Xu

We present measurements of the Berry Phase in a single solid-state spin qubit associated with the nitrogen-vacancy center in diamond. Our results demonstrate the remarkable degree of coherent control achievable in the presence of a highly…

Mesoscale and Nanoscale Physics · Physics 2015-04-13 Kai Zhang , Naufer M. Nusran , Bradley R. Slezak , M. V. Gurudev Dutt

We derive a semiclassical expression for the Green's function in graphene, in which the presence of a semiclassical phase is made apparent. The relationship between this semiclassical phase and the adiabatic Berry phase, usually referred to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Carmier , Ullmo Denis

We propose a topological quantum phase transition for quantum states with different Berry phases in hole-doped III-V semiconductor quantum wells with bulk and structure inversion asymmetry. The Berry phase of the occupied Bloch states can…

Mesoscale and Nanoscale Physics · Physics 2007-08-09 Bin Zhou , Chao-Xing Liu , Shun-Qing Shen

Topological phases of matter are a potential platform for the storage and processing of quantum information with intrinsic error rates that decrease exponentially with inverse temperature and with the length scales of the system, such as…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Christina Knapp , Michael Zaletel , Dong E. Liu , Meng Cheng , Parsa Bonderson , Chetan Nayak
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