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Aharonov-Bohm (AB) and Aharonov-Casher (AC) effects are treated fully relativistically in 2+1 dimensions. The influences of the relevant geometric and topological phases on an entangled spin-1/2 system are studied. It is shown that for the…

Quantum Physics · Physics 2021-10-27 H. O. Cildiroglu , A. U. Yilmazer

We propose the Aharonov-Casher (AC) effect for four entangled spin-half particles carrying magnetic moments in the presence of impenetrable line charge. The four particle state undergoes AC phase shift in two causually disconnected region…

Quantum Physics · Physics 2009-10-31 Arun Kumar Pati

We report the first experimental test of the topological phase predicted by He and McKellar and by Wilkens in 1993: this phase, which appears when an electric dipole propagates in a magnetic field, is connected to the Aharonov-Casher effect…

We study the Aharonov-Casher (AC) effect and the related He-McKellar-Wilkens (HMW) effect in 2+1 dimensions. In this restricted space these effects are the result of the interaction of the electromagnetic field tensor with the dual of a…

Quantum Physics · Physics 2016-09-08 Xiao-Gang He , B. J. McKellar

We discuss the Maxwell electromagnetic duality relations between the Aharonov-Bohm, Aharonov-Casher, and He-McKellar-Wilkens topological phases, which allows a unified description of all three phenomena. We also elucidate Lorentz…

Quantum Physics · Physics 2009-10-31 Jonathan P. Dowling , Colin P. Williams , J. D. Franson

In this work the Aharonov-Casher (AC) phase is calculated for spin one particles in a noncommutative space. The AC phase has previously been calculated from the Dirac equation in a noncommutative space using a gauge-like technique [17]. In…

High Energy Physics - Theory · Physics 2008-11-26 B. Mirza , R. Narimani , M. Zarei

In this paper, we describe an experimental test of the He-McKellar-Wilkens (HMW) topological phase with our lithium atom interferometer. The expected value of the HMW phase shift in our experiment is small and its measurement was difficult…

Quantum Physics · Physics 2015-06-17 Steven Lepoutre , Jonathan Gillot , Alexandre Gauguet , Matthias Büchner , Jacques Vigué

The He-McKellar-Wilkens(HMW) effect for spin one neutral particle in non-commutative quantum mechanics is studied. By solving the Kemmer like equations on non-commutative (NC) space and non-commutative phase space, we obtain topological…

Mathematical Physics · Physics 2008-02-11 Sayipjamal Dulat , Kang Li , Jianhua Wang

We have recently tested the topological phase predicted by He and McKellar and by Wilkens: this phase appears when an electric dipole propagates in a transverse magnetic field. In the present paper, we first recall the physical origin of…

Quantum Physics · Physics 2015-06-17 Steven Lepoutre , Alexandre Gauguet , Matthias Büchner , Jacques Vigué

We devise a general setup to investigate the violation of the Bell-CHSH inequality in the vacuum state in the context of Quantum Field Theory. We test the method with massless spinor fields in $(1+1)$-dimensional Minkowski space-time.…

High Energy Physics - Theory · Physics 2023-10-18 David Dudal , Philipe De Fabritiis , Marcelo S. Guimaraes , Itzhak Roditi , Silvio P. Sorella

We consider bipartite quantum systems characterized by a continuous angular variable \theta \in [-\pi, \pi[, representing, for instance, the position of a particle on a circle. We show how to reveal non-locality on this type of system using…

Quantum Physics · Physics 2012-11-26 Carolina V. S. Borges , Perola Milman , Arne Keller

The decay of Higgs boson into two spin-1/2 particles provides an ideal system to reveal quantum entanglement and Bell-nonlocality. Future $e^+e^-$ colliders can improve the measurement accuracy of the spin correlation of tau lepton pairs…

High Energy Physics - Phenomenology · Physics 2024-07-10 Kai Ma , Tong Li

We review in this paper the research status on testing the completeness of Quantum mechanics in High Energy Physics, especially on the Bell Inequalities. We briefly introduce the basic idea of Einstein, Podolsky, and Rosen paradox and the…

High Energy Physics - Phenomenology · Physics 2009-04-04 Yi-Bing Ding , Junli Li , Cong-Feng Qiao

By using a generalized Bopp's shift formulation, instead of star product method, we investigate the Aharonov-Casher(AC) effect for a spin-1 neutral particle in non-commutative(NC) quantum mechanics. After solving the Kemmer equations both…

Mathematical Physics · Physics 2008-11-26 Sayipjamal Dulat , Kang Li

The dynamics of a spin--1/2 neutral particle possessing electric and magnetic dipole moments interacting with external electric and magnetic fields in noncommutative coordinates is obtained. Noncommutativity of space is interposed in terms…

High Energy Physics - Theory · Physics 2009-08-03 Omer F. Dayi

We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and…

Quantum Physics · Physics 2012-03-26 Sayipjamal Dulat , Kai Ma

The matrix-valued Aharonov-Casher phase factor $F_{\text{AC}}$ (related to the c-number Aharonov-Casher phase $\lambda_{\text{AC}}$) plays an important role in the physics of mesoscopic systems in which spin-orbit coupling is relevant. Yet,…

Mesoscale and Nanoscale Physics · Physics 2019-07-15 Yshai Avishai , Keisuke Totsuka , Naoto Nagaosa

We study the quantum interference effects induced by the Aharonov-Casher phase in asymmetrically confined two-dimensional electron and heavy-hole ring structures systems taking into account the electrically tunable spin-orbit (SO)…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 M. F. Borunda , Xin Liu , Alexey A. Kovalev , Xiong-Jun Liu , T. Jungwirth , Jairo Sinova

We study the quantum interference effects induced by the Aharonov-Casher phase in a ring structure in a two-dimensional heavy hole (HH) system with spin-orbit interaction realizable in narrow asymmetric quantum wells. The influence of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Alexey A. Kovalev , Mario F. Borunda , T. Jungwirth , L. W. Molenkamp , Jairo Sinova

We present a scheme for demonstrating violation of Bell's inequalities using a spin-1/2 system entangled with a pair of classically distinguishable wave packets in a harmonic potential. In the optical domain, such wave packets can be…

Quantum Physics · Physics 2009-11-06 Andrzej Dragan , Konrad Banaszek
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