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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

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2pi [K. S. Novoselov et al., "Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene", Nature Phys. 2,…

Mesoscale and Nanoscale Physics · Physics 2011-11-21 Cheol-Hwan Park , Nicola Marzari

The Berry phase acquired by an electromagnetic field undergoing an adiabatic and cyclic evolution in phase space is a purely quantum-mechanical effect of the field. However, this phase is usually accompanied by a dynamical contribution and…

Quantum Physics · Physics 2012-03-05 Shi-Biao Zheng

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

Majorana stars, the antipodal directions associated with the coherent states that are orthogonal to a spin state, provide a visualization and a geometric understanding of the structures of general quantum states. For example, the Berry…

Quantum Physics · Physics 2021-08-11 Chon-Fai Kam , Ren-Bao Liu

Berry's geometric phase naturally appears when a quantum system is driven by an external field whose parameters are slowly and cyclically changed. A variation in the coupling between the system and the external field can also give rise to a…

We discuss the concept of the Berry phase in a dissipative system. We show that one can identify a Berry phase in a weakly-dissipative system and find the respective correction to this quantity, induced by the environment. This correction…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 Robert S. Whitney , Yuriy Makhlin , Alexander Shnirman , Yuval Gefen

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 interaction of qubits with quantized modes of electromagnetic fields has been largely addressed in the quantum optics literature under the rotating wave approximation (RWA), where rapid oscillating terms in the qubit-mode interaction…

Quantum Physics · Physics 2017-06-06 P. C. Cárdenas , W. S. Teixeira , F. L. Semião

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

Within the framework of exact quantum electrodynamics in dielectric, we study the topological Berry phase of a classically pumped $\Lambda$-type three-level atom, prepared initially in a superposition of its two pumped levels and located…

Quantum Physics · Physics 2011-09-05 M. S. Ateto

We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state…

Quantum Physics · Physics 2007-05-23 Pavel Exner , Vladimir A. Geyler

Two representations of mixed states by state-vectors, known as purified state and thermal vacuum, have been realized on quantum computers. While the two representations look similar, they differ by a partial transposition in the ancilla…

Quantum Physics · Physics 2022-11-28 Xu-Yang Hou , Zi-Wen Huang , Zheng Zhou , Xin Wang , Hao Guo , Chih-Chun Chien

We study the role of different orientations of an applied magnetic field as well as the interplay of structural asymmetries on the characteristics of eigenstates in a quantum ring system. We use a nearly analytical model description of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 V. Lopes-Oliveira , L. K. Castelano , G. E. Marques , S. E. Ulloa , V. Lopez-Richard

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

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

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…

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

When continuous parameters in a QFT are varied adiabatically, quantum states typically undergo mixing---a phenomenon characterized by the Berry phase. We initiate a systematic analysis of the Berry phase in QFT using standard quantum…

High Energy Physics - Theory · Physics 2017-07-26 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

Due to the potential application in quantum information process, geometric phase of interacting system arouse many interests. Some physicists concentrate on the system in pure classical envi- ronment, while others study the system in pure…

Quantum Physics · Physics 2012-02-20 Da-Bao Yang , Fu-Lin Zhang , Jing-Ling Chen