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Liouville's theorem on the conservation of phase space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase space density of states, whose significance is discussed in…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Di Xiao , Junren Shi , Qian Niu

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

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 derive closed analytical expressions for the complex Berry phase of an open quantum system in a state which is a superposition of resonant states and evolves irreversibly due to the spontaneous decay of the metastable states. The…

High Energy Physics - Theory · Physics 2008-11-26 A. Mondragon , E. Hernandez

In magnetic systems, electronic bands often acquire nontrivial topological structure characterized by gauge flux distribution in momentum (k)-space. It sometimes follows that the phase of the wavefunctions cannot be defined uniquely over…

Superconductivity · Physics 2009-11-07 Shuichi Murakami , Naoto Nagaosa

Different from the usual conclusion that the separation of the photon angular momentum into orbital and spin parts is physically meaningless, the orbital and spin angular momenta are demonstrated in the first-quantization framework not to…

Quantum Physics · Physics 2015-01-28 Chun-Fang Li

The usual, "static" version of the quantum Zeno effect consists in the hindrance of the evolution of a quantum systems due to repeated measurements. There is however a "dynamic" version of the same phenomenon, first discussed by von Neumann…

Quantum Physics · Physics 2007-05-23 P. Facchi , S. Pascazio

We study the quantum dynamics of neutral particle that posseses a permanent magnetic and electric dipole moments in the presence of an electromagnetic field. The analysis of this dynamics demonstrates the appearance of a quantum phase that…

Quantum Physics · Physics 2009-11-10 Claudio Furtado , C. A. de Lima Ribeiro

We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first order gradient correction and obtain all kinds of…

Condensed Matter · Physics 2009-10-31 Ganesh Sundaram , Qian Niu

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

By considering an extended double-exchange model with spin-orbit coupling (SOC), we derive a general form of the Berry phase $\gamma$ that electrons pick up when moving around a closed loop. This form generalizes the well-known result valid…

Strongly Correlated Electrons · Physics 2020-01-29 Shang-Shun Zhang , Hiroaki Ishizuka , Hao Zhang , Gábor B. Halász , Cristian D. Batista

The Berry phases for coherent states and squeezed coherent states of Landau levels are calculated. Coherent states of Landau levels are interpreted as a result of a magnetic flux moved adiabatically from infinity to a finite place on the…

Quantum Physics · Physics 2007-06-15 Wen-Long Yang , Jing-Ling Chen

Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined under evolution of the half of period of the classical motions,…

Quantum Physics · Physics 2007-05-23 JeongHyeong Park , Dae-Yup Song

In this paper we theoretically and numerically investigate transport signatures of quantum interference on the current through a single molecule magnet transistor tunnel coupled to oppositely polarized leads in the presence of a local…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Fco. Javier Anaya Garcia , Daniel Salgado-Blanco , Gabriel Gonzalez

We study the role of rotational symmetry in the systems where nonabelian Berry potentials emerge as a result of integrating out fast degrees of freedom. The conserved angular momentum is constructed in the presence of a non-abelian Berry…

High Energy Physics - Theory · Physics 2007-05-23 Hyun Kyu Lee , Mannque Rho

The physics of a quantum dot with electron-electron interactions is well captured by the so called "Universal Hamiltonian" if the dimensionless conductance of the dot is much higher than unity. Within this scheme interactions are…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Arijit Saha , Yuval Gefen , Igor Burmistrov , Alexander Shnirman , Alexander Altland

The dynamics of observables which are matrices depending on \hbar and taking values in classical phase space is defined retaining the terms up to the first order in \hbar of the Moyal bracket. Within this semiclassical approach a first…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Omer F. Dayi

It has been recently found that the equations of motion of several semiclassical systems must take into account anomalous velocity terms arising from Berry phase contributions. Those terms are for instance responsible for the spin Hall…

High Energy Physics - Theory · Physics 2008-12-18 Pierre Gosselin , Alain Berard , Herve Mohrbach

Berry phase is one of the key elements to understand quantum-mechanical phenomena such as the Aharonov-Bohm effect and the unconventional Hall effect in graphene. The Berry phase in monolayer and bilayer graphene has been manifested by the…

Materials Science · Physics 2024-08-15 Hayoon Im , Sue Hyeon Hwang , Minhee Kang , Kyoo Kim , Haeyong Kang , Choongyu Hwang

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
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