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Berry phase was originally defined for systems whose states are separated by finite energy gaps. One might naively expect that a system without a gap cannot have a Berry phase. Despite this we ask whether a Berry phase can be observed in a…

Condensed Matter · Physics 2007-05-23 Robert S. Whitney , Yuval Gefen

The Berry phase in a composite system with only one subsystem being driven has been studied in this Letter. We choose two spin-$\frac 1 2 $ systems with spin-spin couplings as the composite system, one of the subsystems is driven by a…

Quantum Physics · Physics 2009-11-10 X. X. Yi , L. C. Wang , T. Y. Zheng

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Basu , P. Bandyopadhyay

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

We show the presence of a topological (Berry) phase in the time evolution of a mixed state. For the case of mixed neutrinos, the Berry phase is a function of the mixing angle only.

High Energy Physics - Theory · Physics 2009-10-31 Massimo Blasone , Peter A. Henning , Giuseppe Vitiello

The Berry phase for a variety of systems comprising of two angular momenta is discussed. These include the electron and proton in the ground state of the hydrogen atom (taking into account the hyperfine interaction), the positronium atom,…

Quantum Physics · Physics 2011-04-29 K. J. B. Ghosh , D. De Munshi , B. Dutta-Roy

Berry phases occur when a system adiabatically evolves along a closed curve in parameter space. This tutorial-like article focuses on Berry phases accumulated in real space. In particular, we consider the situation where an electron…

Strongly Correlated Electrons · Physics 2014-05-06 Karin Everschor-Sitte , Matthias Sitte

We calculate the Berry phase of a spin-1/2 particle in a magnetic field considering the quantum nature of the field. The phase reduces to the standard Berry phase in the semiclassical limit and eigenstate of the particle acquires a phase in…

Quantum Physics · Physics 2011-07-19 I. Fuentes-Guridi , A. Carollo , S. Bose , V. Vedral

We propose a Berry phase effect on the chiral degrees of freedom of a triangular magnetic molecule. The phase is induced by adiabatically varying an external electric field in the plane of the molecule via a spin-electric coupling mechanism…

Quantum Physics · Physics 2016-12-22 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

We investigate the effect of the environment on a Berry phase measurement involving a spin-half. We model the spin+environment using a biased spin-boson Hamiltonian with a time-dependent magnetic field. We find that, contrary to naive…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert S. Whitney , Yuval Gefen

Berry phase in a single quantum dot with Rashba spin-orbit coupling is investigated theoretically. Berry phases as functions of magnetic field strength, dot size, spin-orbit coupling and photon-spin coupling constants are evaluated. It is…

Mesoscale and Nanoscale Physics · Physics 2008-10-31 Huan Wang , Ka-Di Zhu

Berry phase for a spin--1/2 particle moving in a flat spacetime with torsion is investigated in the context of the Einstein-Cartan-Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry…

General Relativity and Quantum Cosmology · Physics 2009-01-07 M. Alimohammadi , A. Shariati

Systematic effects caused by the Berry (geometric) phases in an electric-dipole-moment experiment in an all-electric storage ring are considered. We analyze the experimental setup when the spin is frozen and local longitudinal and vertical…

Nuclear Experiment · Physics 2018-01-26 Alexander J. Silenko

Geometric or Berry phases are fundamental manifestations that appear in many areas of physics. They arise from the geometry of the space describing the properties of multi-component wave fields. An important example for electromagnetic…

Optics · Physics 2026-01-27 Aymeric Braud , Renaud Gueroult

We propose a method for analyzing Berry phase for a multi-qubit system of superconducting charge qubits interacting with a microwave field. By suitably choosing the system parameters and precisely controlling the dynamics, novel connection…

Quantum Physics · Physics 2015-05-13 Mahmoud Abdel-Aty

A quantized fermion can be represented by a scalar particle encircling a magnetic flux line. It has the spinor structure which can be constructed from quantum gates and qubits. We have studied here the role of Berry phase in removing…

Quantum Physics · Physics 2015-06-26 D. Banerjee , P. Bandyopadhyay

The influence of the geometric phase, in particular the Berry phase, on an entangled spin-1/2 system is studied. We discuss in detail the case, where the geometric phase is generated only by one part of the Hilbert space. We are able to…

In this letter we have pointed out that frustration in spin glass is realized through the Berry phase due to the conflict between the spin ordering in the course of parallel transport of spinor. We have came to the point that the Berry…

Mesoscale and Nanoscale Physics · Physics 2008-03-27 Dipti Banerjee

Berry's phase often appears in quantum two-level systems with a degeneracy. An example of such a system is a spin-1/2 particle in a magnetic field. As the magnetic field is slowly evolved through a closed path, the particle has been shown…

Other Condensed Matter · Physics 2009-09-15 Anthony Tyler , Roberto C. Ramos

We investigate the effect of the Berry phase on quadrupoles that occur for example in the low-energy description of spin models. Specifically we study here the one-dimensional bilinear-biquadratic spin-one model. An open question for many…

Strongly Correlated Electrons · Physics 2014-07-15 Shijie Hu , Ari M. Turner , Karlo Penc , Frank Pollmann
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