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We study Berry phase effects on conductance properties of diffusive mesoscopic conductors, which are caused by an electron spin moving through an orientationally inhomogeneous magnetic field. Extending previous work, we start with an exact,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hans-Andreas Engel , Daniel Loss

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

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

We have investigated pumping in quantum dots from the perspective of non-Abelian (matrix) Berry phases by solving the time dependent Schr{\"o}dinger equation exactly for adiabatic changes. Our results demonstrate that a pumped charge is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. Y. Hwang , S. C. Kim , P. S. Park , S. -R. Eric Yang

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

We present a reformulation of quantum adiabatic theory in terms of an emergent electromagnetic framework, emphasizing the physical consequences of geometric structures in parameter space. Contrary to conventional approaches, we demonstrate…

Quantum Physics · Physics 2025-08-15 Georgios Konstantinou

Based on the scattering matrix approach, we systematically investigate the anharmonic effect of the pumped current in double-barrier structures with adiabatic time-modulation of two sinusoidal AC driven potential heights. The pumped current…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Wei-Yin Deng , Ke-Ju Zhong , Rui Zhu , Wen-Ji Deng

In quantum mechanics, a quantum wavepacket may acquire a geometrical phase as it evolves along a cyclic trajectory in parameter space. In condensed matter systems, the Berry phase plays a crucial role in fundamental phenomena such as the…

The phase of a quantum state may not return to its original value after the system's parameters cycle around a closed path; instead, the wavefunction may acquire a measurable phase difference called the Berry phase. Berry phases typically…

We consider adiabatic charge transport through mesoscopic metallic samples caused by a periodically changing external potential. We find that both the amplitude and the sign of the charge transferred through a sample per period are random…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Zhou , B. Spivak , B. Altshuler

Persistant current in isolated mesoscopic rings is studied using the continium and tight-binding models of independent electrons. The calculation is performed with disorder and also at finite temperature. In the absence of disorder and at…

Condensed Matter · Physics 2009-10-22 J. F. Weisz , R. Kishore , Feodor V. Kusmartsev

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

Quantum Physics · Physics 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

We design an adiabatic quantum algorithm for the counting problem, i.e., approximating the proportion, $\alpha$, of the marked items in a given database. As the quantum system undergoes a designed cyclic adiabatic evolution, it acquires a…

Quantum Physics · Physics 2009-08-21 Chi Zhang , Zhaohui Wei , Anargyros Papageorgiou

Aharonov-Bohm Physics at the two-particle level is investigated for distinguishable interacting charged particles through the exact solution of a toy model with confined states. The effect of the inaccessible magnetic flux is distributed…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 Kyriakos Kyriakou , Konstantinos Moulopoulos , Areg Ghazaryan , Anahit Djotyan

We investigate the effect of time-dependent cyclic-adiabatic driving on the charge transport in quantum junction. We propose a nonequilibrium Greens function formalism to study statistics of the charge pumped (at zero bias) through the…

Statistical Mechanics · Physics 2016-02-03 Hari Kumar Yadalam , Upendra Harbola

Conical intersections are degeneracies between electronic states and are very common in nature. It has been found that they can also be created both by standing or by running laser waves. The latter are called light-induced conical…

Chemical Physics · Physics 2018-09-26 Gábor J. Halász , Péter Badankó , Ágnes Vibók

We report mesoscopic dc current generation in an open chaotic quantum dot with ac excitation applied to one of the shape-defining gates. For excitation frequencies large compared to the inverse dwell time of electrons in the dot (i.e.,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. DiCarlo , C. M. Marcus , J. S. Harris

We study a classical two-state stochastic system in a sea of substrates and products (absorbing states), which can be interpreted as a single Michaelis-Menten catalyzing enzyme or as a channel on a cell surface. We introduce a novel general…

Quantitative Methods · Quantitative Biology 2009-11-13 N. A. Sinitsyn , Ilya Nemenman

We report on experimental evidence of the Berry phase accumulated by the charge carrier wave function in single-domain nanowires made from a (Ga,Mn)(As,P) diluted ferromagnetic semiconductor layer. Its signature on the mesoscopic transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Granada , D. Lucot , R. Giraud , A. Lemaître , C. Ulysse , X. Waintal , G. Faini

We consider area-preserving deformations of the plane, acting on electronic wavefunctions through "quantomorphisms" that change both the underlying metric and the confining potential. We show that adiabatic sequences of such transformations…

Mesoscale and Nanoscale Physics · Physics 2023-10-11 Blagoje Oblak , Benoit Estienne