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Variations of polarization of the electronic field is a dielectric property quantified by Resta et al. and discovered to be a Berry phase of the electronic subsystem. In order to continue the previous research we wrote a scalar phase \Phi…

Materials Science · Physics 2008-03-21 Simone Selenu

Recent theoretical advances have established that the electric polarization in an insulating crystal can be viewed as a multivalued quantity that is determined by certain Berry phases associated with the occupied Bloch bands. The…

Materials Science · Physics 2007-05-23 David Vanderbilt

Berry connection has been recently generalized to higher-dimensional QFT, where it can be thought of as a topological term in the effective action for background couplings. Via the inflow, this term corresponds to the boundary anomaly in…

High Energy Physics - Theory · Physics 2023-10-18 Mykola Dedushenko

We propose the $\mathbb{Z}_Q$ Berry phase as a topological invariant for higher-order symmetry-protected topological (HOSPT) phases for two- and three-dimensional systems. It is topologically stable for electron-electron interactions…

Strongly Correlated Electrons · Physics 2020-01-15 Hiromu Araki , Tomonari Mizoguchi , Yasuhiro Hatsugai

The spontaneous baryogenesis scenario explains how a baryon asymmetry can develop while baryon violating interactions are still in thermal equilibrium. However, generation of the chemical potential from the derivative coupling is dubious…

High Energy Physics - Theory · Physics 2019-02-20 Seishi Enomoto , Tomohiro Matsuda

The topological phases of matter are characterized using the Berry phase, a geometrical phase, associated with the energy-momentum band structure. The quantization of the Berry phase, and the associated wavefunction polarization, manifest…

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, e-print quant-ph/0404147). We also critically examine a recent argument claiming that…

Quantum Physics · Physics 2007-05-23 M. S. Sarandy , L. -A. Wu , D. A. Lidar

We show that the Berry force as computed by an approximate, mean-field electronic structure can be meaningful if properly interpreted. In particular, for a model Hamiltonian representing a molecular system with an even number of electrons…

Chemical Physics · Physics 2022-06-28 Xuezhi Bian , Tian Qiu , Junhan Chen , Joseph E. Subotnik

Berry phases mix states of positive and negative energy in the propagation of fermions and bosons in external gravitational and electromagnetic fields and generate Zitterbewegung oscillations. The results are valid in any reference frame…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Giorgio Papini

A fundamental symmetry of the non-Hermitian operators describing wave-propagation in time-varying media imbue such systems with non-trivial topology. This topology may be measured directly in a wide range of experimental settings as a…

Optics · Physics 2026-05-12 Calvin Hooper

The many-body Berry phase formula for the macroscopic polarization is approximated by a sum of natural orbital geometric phases with fractional occupation numbers accounting for the dominant correlation effects. This reduced formula…

Strongly Correlated Electrons · Physics 2018-12-14 Ryan Requist , E. K. U. Gross

We consider a two-level system coupled to an environment that evolves non-adiabatically. We present a non-perturbative method for determining the persistence amplitude whose phase contains all the corrections to Berry's phase produced by…

Quantum Physics · Physics 2007-05-23 Frank Gaitan

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

The Berry phase, a fundamental geometric phase in quantum systems, has become a crucial tool for probing the topological properties of materials. Quantum oscillations, such as Shubnikov-de Haas (SdH) oscillations, are widely used to extract…

Materials Science · Physics 2026-01-15 Bogdan M. Fominykh , Valentin Yu. Irkhin , Vyacheslav V. Marchenkov

In this paper, we generalize the results of S. Oh (Physics Letters A. 644-647 \textbf{373 }) to Dzyaloshinski-Moriya model under nonuniform external magnetic field to investigate the relation between entanglement, geometric phase (or Berry…

Quantum Physics · Physics 2016-08-12 G. Najarbashi , B. Seifi

We present a general theoretical framework for the exact treatment of a hybrid system that is composed of a quantum subsystem and a classical subsystem. When the quantum subsystem is dynamically fast and the classical subsystem is slow, a…

Quantum Physics · Physics 2015-06-26 Qi Zhang , Biao Wu

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

Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude) phases that the electronic states can acquire when a uniform time-dependent electric field carries the…

Materials Science · Physics 2009-11-13 R. Englman , T. Vértesi

The effect of fluctuations in the classical control parameters on the Berry phase of a spin 1/2 interacting with a adiabatically cyclically varying magnetic field is analyzed. It is explicitly shown that in the adiabatic limit dephasing is…

Quantum Physics · Physics 2009-11-10 Gabriele De Chiara , G. Massimo Palma

Quantized Berry phases as local order parameters in t-J models are studied. A texture pattern of the local order parameters is topologically stable due to the quantization of non-Abelian Berry phases defined by low-energy states below a…

Strongly Correlated Electrons · Physics 2009-11-13 Isao Maruyama , Yasuhiro Hatsugai