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Related papers: Berry's Phase in the Presence of a Dissipative Med…

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An electron spin moving adiabatically in a strong, spatially non-uniform magnetic field accumulates a geometric phase or Berry phase, which might be observable as a conductance oscillation in a mesoscopic ring. Two contradicting theories…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. A. van Langen , H. P. A. Knops , J. C. J. Paasschens , C. W. J. Beenakker

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

We study the dynamics of a two-level system described by a slowly varying Hamiltonian and weakly coupled to the Ohmic environment. We follow the Bloch--Redfield perturbative approach to include the effect of the environment on qubit…

Quantum Physics · Physics 2014-05-20 Canran Xu , Amrit Poudel , Maxim G. Vavilov

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's phase, which is associated with the slow cyclic motion with a finite period, looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the level crossing point in the parameter space in an exactly…

High Energy Physics - Theory · Physics 2021-05-12 Kazuo Fujikawa , Koichiro Umetsu

The geometric phase has been proposed as a candidate for noise resilient coherent manipulation of fragile quantum systems. Since it is determined only by the path of the quantum state, the presence of noise fluctuations affects the…

Quantum Physics · Physics 2010-04-22 S. Filipp , J. Klepp , Y. Hasegawa , C. Plonka-Spehr , U. Schmidt , P. Geltenbort , H. Rauch

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 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

The weak field magnetoresistance has seen a revived interest due to the distinct role played by the momentum-space Berry curvature of Bloch electrons. While most previous studies in this regard focus on the inter-scattering motion of…

Materials Science · Physics 2020-03-11 Cong Xiao , Hua Chen , Yang Gao , Di Xiao , Allan H. MacDonald , Qian Niu

Interference effects between Berry phase factors in spin tunneling systems have been discussed in recent Letters by Loss, DiVincenzo and Grinstein and von Delft and Henley. This Comment points out that Berry phases in spin tunneling are…

Condensed Matter · Physics 2009-10-22 Assa Auerbach

We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For a…

Analysis of PDEs · Mathematics 2020-04-15 Jianfeng Lu , Zihang Zhang , Zhennan Zhou

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

The physical reality and observability of 2n\pi Berry phases, as opposed to the usually considered modulo 2\pi topological phases is demonstrated with the help of computer simulation of a model adiabatic evolution whose parameters are…

Quantum Physics · Physics 2009-11-07 Rajendra Bhandari

To give a general description of the influences of electric fields or currents on magnetization dynamics, we developed a semiclassical theory for the magnetization implicitly coupled to electronic degrees of freedom. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Bangguo Xiong , Hua Chen , Xiao Li , Qian Niu

We consider Bloch electrons in the presence of the uniform electromagnetic field in two- and three-dimensions. It is renowned that the quantized Hall effect occurs in such systems. We suppose a weak and homogeneous electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

We investigate the decoherence effect of a bosonic bath on the Berry phase of a spin-1/2 in a time-dependent magnetic field, without making the Markovian approximation. A two-cycle process resulting in a pure Berry phase is considered. The…

Quantum Physics · Physics 2015-06-16 Xin Li , Yu Shi

We investigate the geometric phase or Berry phase (BP) acquired by a spin-half which is both subject to a slowly varying magnetic field and weakly-coupled to a dissipative environment (either quantum or classical). We study how this phase…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert S. Whitney , Yuriy Makhlin , Alexander Shnirman , Yuval Gefen

We report observation of spin-orbit Berry's phase in the Aharonov-Bohm (AB) type oscillation of weak field magnetoresistance in an anti-dot lattice (ADL) of a two-dimensional hole system. An AB-type oscillation is superposed on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Ning Kang , Eisuke Abe , Yoshiaki Hashimoto , Yasuhiro Iye , Shingo Katsumoto

We study the adiabatic evolution of a two-level model in the presence of an external classical electric field. The coupling between the quantum model and the classical field is taken in the electric dipole approximation. In this regime, we…

Quantum Physics · Physics 2009-07-25 A. C. Aguiar Pinto , M. Moutinho , M. T. Thomaz

The effects of a magnetic field ($h$) and a space modulation ($\delta$) on the magnetic properties of a one dimensional antiferromagnetic-ferromagnetic Heisenberg spin-1/2 model have been studied by means of numerical exact diagonalization…

Strongly Correlated Electrons · Physics 2015-05-27 Saeed Mahdavifar , Jahanfar Abouie
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