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We study how an out-of-plane magnetic field $B({\bf r})$ and a Berry curvature $\Omega({\bf k})$ modify the exchange interactions in a two-dimensional Wigner crystal (WC) using a semi-classical large-$r_s$ expansion. When only a magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Kyung-Su Kim

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.…

Quantum Physics · Physics 2007-05-23 X. B. Wang , K. Matsumoto , H. Fan , A. Tomita , J. W. Pan

The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 V. Ya. Demikhovskii , R. V. Turkevich

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…

Quantum Physics · Physics 2011-09-05 M. S. Ateto

Physics arising from two-dimensional~(2D) Dirac cones has been a topic of great theoretical and experimental interest to studies of gapless topological phases and to simulations of relativistic systems. Such $2$D Dirac cones are often…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Raditya Weda Bomantara , Wenlei Zhao , Longwen Zhou , Jiangbin Gong

The physical reality and observability of 2n\pi Berry phases, as opposed to the usually considered modulo 2\pi topological phases is demonstrated with the help of computer simulation of a model adiabatic evolution whose parameters are…

Quantum Physics · Physics 2009-11-07 Rajendra Bhandari

We investigate the geometric phase or Berry phase (BP) acquired by a spin-half which is both subject to a slowly varying magnetic field and weakly-coupled to a dissipative environment (either quantum or classical). We study how this phase…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert S. Whitney , Yuriy Makhlin , Alexander Shnirman , Yuval Gefen

I investigate the two-dimensional Dirac fermion analogue of artificial atoms (Fock-Darwin states, FD) in a circular n-p junction on a topological insulator surface. The FD states in this non-parabolic potential exhibit a unique…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Ye-ping Jiang

The instability, so-called the quantum-phase-like transition, in the Dicke model with a rotating-wave approximation for finite $N$ atoms is investigated in terms of the Berry phase and the fidelity. It can be marked by the discontinuous…

Quantum Physics · Physics 2015-05-13 Yu-Yu Zhang , Tao Liu , Qing-Hu Chen , Kelin Wang

We consider a lattice model of two complex scalar matter fields $z_{a}, a=1,2$ under a CP1 constraint $\abs{z_1}^2+\abs{z_2}^2=1$, minimally coupled to a compact gauge field, with an additional Berry phase term. This model has been the…

Statistical Mechanics · Physics 2013-09-12 Troels Arnfred Bojesen , Asle Sudbø

In this work, we present a microscopic quantum theory that elucidates the nonlinear and nonperturbative optical response of biased bilayer graphene subjected to bichromatic strong laser fields. This response is analyzed using a four-band…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 H. K. Avetissian , H. H. Matevosyan , G. F. Mkrtchian

Geometrical Berry phase is recognized as having profound implications for the properties of electronic systems. Over the last decade, Berry phase has been essential to our understanding of new materials, including graphene and topological…

Superconductivity · Physics 2015-06-17 N. Doiron-Leyraud , T. Szkopek , T. Pereg-Barnea , C. Proust , G. Gervais

We explore the interplay between Berry curvature and topological properties in single-flavor color superconductors, where quarks form spin-one Cooper pairs. By deriving a new relation, we connect the topological nodal structure of the gap…

Nuclear Theory · Physics 2025-05-27 Noriyuki Sogabe , Yi Yin

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

Berry phase is a very general concept. It is applied here to families of solutions of the Dirac equation with different values of spin. The value of the Berry phase in the spin space is given by the same expression as was found before in…

Quantum Physics · Physics 2020-12-02 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

The theory of the shift current is thus far geometrical without being topological. This means that the real-space displacement/shift of a photoexcited quasiparticle depends on the geometric Berry phase, but the Berry phase is not quantized…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Alexandradinata

The vibrational modes of Jahn-Teller molecules are affected by a Berry phase that is associated with a conical intersection of the adiabatic potentials. We investigate theoretically how this Berry phase affects transport through a single $E…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Maximilian G. Schultz , Tamara S. Nunner , Felix von Oppen

Motivated by the work [Phys. Rev. Lett. 89, 220404 (2002)] for detecting the vacuum-induced Berry phases with two-mode Jaynes-Cummings models (JCMs), we show here that, for a parameter-dependent single-mode JCM, certain atom-field states…

Quantum Physics · Physics 2015-05-19 Yu Liu , L. F. Wei , W. Z. Jia , J. Q. Liang

The velocity field composed of the Berry connection from many-body wave functions and electromagnetic vector potential explains the energy-momentum balance during the reversible superconducting-normal phase transition in the presence of an…

Superconductivity · Physics 2023-11-21 Hiroyasu Koizumi

We study QED$_4$ in the adiabatic approximation, incorporating global topological effects associated with the $U(1)$ Berry connection. The Berry phase accumulated by the fermionic vacuum is given by $\Delta \alpha = \oint_{\mathcal{C}}…

High Energy Physics - Theory · Physics 2025-04-01 J. Gamboa