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We consider the influence of topological phases, or their vicinity, on the spin density and spin polarization through a chiral chain. We show the quantization of the Berry phase in a one-dimensional polarization helix structure, under the…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 P. D. Sacramento , M. F. Madeira

The Berry phase of an anisotropic spin system that is adiabatically rotated along a closed circuit C is investigated. It is shown that the Berry phase consists of two contributions: (i) a geometric contribution which can be interpreted as…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Patrick Bruno

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 Berry phase on the Fermi surface and its influence on the conserved spin current in a two-dimensional system with generic $k$-linear spin-orbit interaction are investigated. We calculate the response of the effective conserved spin…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Tsung-Wei Chen , Jian-Huang Li , Chong-Der Hu

We study the entanglement effect of beam splitter on the temporally stable phase states. Specifically, we consider the eigenstates (phase states) of an unitary phase operator resulting from the polar decomposition of ladder operators of…

Quantum Physics · Physics 2015-06-11 M. Daoud , E. B. Choubabi

In this paper we define a non-dynamical phase for a spin-1/2 particle in a rotating magnetic field in the non-adiabatic non-cyclic case, and this phase can be considered as a generalized Berry phase. We show that this phase reduces to the…

Quantum Physics · Physics 2012-12-11 Siamak S. Gousheh , Azadeh Mohammadi , Leila Shahkarami

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…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Ya-Ning Ren , Qiang Cheng , Qing-Feng Sun , Lin He

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

The Berry phase is a fundamental concept in quantum mechanics with profound implications for understanding topological properties of quantum systems. This tutorial provides a comprehensive introduction to the Berry phase, beginning with the…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Nico Sprinkart , Elke Scheer , Angelo Di Bernardo

We discuss the topology of Bogoliubov excitation bands from a Bose-Einstein condensate in an optical lattice. Since the Bogoliubov equation for a bosonic system is non-Hermitian, complex eigenvalues often appear and induce dynamical…

Quantum Gases · Physics 2020-01-29 Terumichi Ohashi , Shingo Kobayashi , Yuki Kawaguchi

We develop an effective field theory for a multi-orbital fermionic system using the method of coadjoint orbits for higher-dimensional bosonization. The dynamical bosonic fields are single-particle distribution functions defined on the phase…

Strongly Correlated Electrons · Physics 2025-03-07 Mengxing Ye , Yuxuan Wang

We study theoretically the influence of Berry phase on the real-time dynamics of the single particle focusing on the diffusive dynamics, i.e., the time-dependence of the distribution function. Our model can be applied to the real-time…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Kou Misaki , Seiji Miyashita , Naoto Nagaosa

The paper aims to spell out the relevance of the Berry phase in view of the question what the minimal mathematical structure is that accounts for all observable quantum phenomena. The question is both of conceptual and of ontological…

Quantum Physics · Physics 2016-11-18 Holger Lyre

The Berry phase of a bipartite system described by a Heisenberg XXZ model driven by a one-site magnetic field is investigated. The effect of the Dzyaloshinski-Moriya (DM) anisotropic interaction on the Berry phase is discussed. It is found…

Quantum Physics · Physics 2008-08-19 Yue Zhou , Guo-Feng Zhang

We make use of a superconducting qubit to study the effects of noise on adiabatic geometric phases. The state of the system, an effective spin one-half particle, is adiabatically guided along a closed path in parameter space and thereby…

Quantum Physics · Physics 2013-06-27 S. Berger , M. Pechal , A. A. Abdumalikov , C. Eichler , L. Steffen , A. Fedorov , A. Wallraff , S. Filipp

We analyse a recently reported neutron interference experiment to measure a geometric phase and attempt to bring out the inadequacy of the ``phase modulo 2\pi" approach to the geometric phase. A modified neutron interferometer experiment to…

Quantum Physics · Physics 2007-05-23 Rajendra Bhandari

In the quantum-computation scenario, geometric phase-gates are becoming increasingly attractive for their intrinsic fault tolerance to disturbance. With an adiabatic cyclic evolution, Berry phase appears to realize a geometric…

Quantum Physics · Physics 2022-08-05 Da-tong Chen , Jun Jing

Berry phases and quantum fidelities for interacting spins have attracted considerable attention, in particular in relation to entanglement properties of spin systems and quantum phase transitions. These efforts mainly focus either on spin…

Quantum Physics · Physics 2015-05-13 Erik Sjöqvist , Ramij Rahaman , Urna Basu , B. Basu

Motivated by the global phase diagram of antiferromagnetic heavy-fermion metals, we study the Kondo effect from the perspective of a nonlinear sigma model in the one dimensional Kondo-Heisenberg model. We focus on the effects of the…

Strongly Correlated Electrons · Physics 2011-10-06 Pallab Goswami , Qimiao Si

Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao