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We propose a scheme for measuring the Berry phase in the vibrational degree of freedom of a trapped ion. Starting from the ion in a vibrational coherent state we show how to reverse the sign of the coherent state amplitude by using a purely…

Quantum Physics · Physics 2009-11-06 I. Fuentes-Guridi , S. Bose , V. Vedral

In this work, we propose a new design of an ion trap which can enable us to generate state specific Berry phase in a single trapped ion. Such a design will enable us to study the physics at the boundary of abelian and non-abelian symmetries…

Quantum Physics · Physics 2015-06-04 D. De Munshi , M. Mukherjee , B. Dutta-Roy

A Berry phase can be added to the wavefunction of an isolated quantum dot by adiabatically modulating a nonuniform electric field along a time-cycle. The dot is tuned close to a three-level degeneracy, which provides a wide range of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. Giuliano , P. Sodano , A. Tagliacozzo

A matrix Berry phase can be generated and detected by {\it all electric means} in II-VI or III-V n-type semiconductor quantum dots by changing the shape of the confinement potential. This follows from general symmetry considerations in the…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 S. -R. Eric Yang , N. Y. Hwang

The voltage-controlled Berry phases in two vertically coupled InGaAs/GaAs quantum dots are investigated theoretically. It is found that Berry phases can be changed dramatically from 0 to 2$\pi$ (or 2$\pi$ to 0) only simply by turning the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Huan Wang , Ka-Di Zhu

The canonical Aharonov-Bohm effect is usually studied with time-independent potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a charged particle moving in {\it time-dependent} potentials . In particular, we focus…

High Energy Physics - Theory · Physics 2015-09-29 Max Bright , Douglas Singleton , Atsushi Yoshida

Quantum coherent properties of electrons can be studied in Aharonov-Bohm (AB) interferometers. We investigate both experimentally and theoretically the transmission phase evolution in a four-terminal quasi-one-dimensional AlGaAs/GaAs-based…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Christoph Kreisbeck , Tobias Kramer , Sven S. Buchholz , Saskia F. Fischer , Ulrich Kunze , Dirk Reuter , Andreas D. Wieck

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…

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 calculate the propagator of a particle caught in a Paul trap and subject to the continuous quantum measurement of its position. The probabilities of the measurement outputs, the possible trajectories of the particle, are also found. This…

Quantum Physics · Physics 2009-10-31 A. Camacho , A. Camacho-Galvan

A magnetically trapped atom experiences an adiabatic geometric (Berry's) phase due to changing field direction. We investigate theoretically such an Aharonov-Bohm-like geometric phase for atoms adiabatically moving inside a storage ring as…

Quantum Physics · Physics 2009-11-13 P. Zhang , L. You

We present a tapered Paul trap whose radio frequency electrodes are inclined to the symmetric axis of the endcap electrodes, resulting in a funnel-shaped trapping potential. With this configuration, a charged particle confined in this trap…

Quantum Physics · Physics 2024-07-03 Bo Deng , Moritz Göb , Max Masuhr , Johannes Roßnagel , Georg Jacob , Daqing Wang , Kilian Singer

We present a comprehensive phase-space treatment of the motion of charged particles in electrodynamic traps. Focusing on five-wire surface-electrode Paul traps, we study the details of integrable and chaotic motion of a single ion. We…

Quantum Physics · Physics 2018-06-05 V. Roberdel , D. Leibfried , D. Ullmo , H. Landa

In quantum information science, the phase of a wavefunction plays an important role in encoding information. While most experiments in this field rely on dynamic effects to manipulate this information, an alternative approach is to use…

Mesoscale and Nanoscale Physics · Physics 2007-12-24 P. J. Leek , J. M. Fink , A. Blais , R. Bianchetti , M. Göppl , J. M. Gambetta , D. I. Schuster , L. Frunzio , R. J. Schoelkopf , A. Wallraff

The Aharonov-Bohm (AB) phase is usually associated with a line integral of the electromagnetic vector potential generated by an external current source, such as a solenoid. According to this interpretation, the AB phase of a nonclosed path…

Quantum Physics · Physics 2023-08-21 A. Hayashi

We propose a novel spin-optronic device based on the interference of polaritonic waves traveling in opposite directions and gaining topological Berry phase. It is governed by the ratio of the TE-TM and Zeeman splittings, which can be used…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. A. Shelykh , G. Pavlovic , D. D. Solnyshkov , G. Malpuech

The Berry curvature and its descendant, the Berry phase, play an important role in quantum mechanics. They can be used to understand the Aharonov-Bohm effect, define topological Chern numbers, and generally to investigate the geometric…

Computational Physics · Physics 2014-02-03 Michael Kolodrubetz

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

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

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
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