The time-dependent Aharonov–Casher effect

Singleton, Douglas; Ulbricht, J.

doi:10.1016/j.physletb.2015.12.002

Cited by 10 publications

(7 citation statements)

References 21 publications

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“…[47,48,49,50,51]. However, the previous studies are based on the Bopp's shift method which breaks the effective U neu (1) gauge symmetry that is essential for the definitions of AC and HMW phase [60,61,62,63]. This results in the single velocity-dependent noncommutative correction that is hard to probe by using the ultra-cold neutron interferometer which has best precision because of the better beam coherence and interference intensity [52,53].…”

Section: Discussionmentioning

confidence: 99%

“…We will shown that there is an additional correction term that is velocityindependent. We use the SW map because it preserves the ordinary gauge symmetry, which is essential for defining the topological AC and HMW phases [60,61,62,63]. Here we first review the AC and HMW effects in ordinary 2 + 1 dimensions in section 2, and interpret these effects as consequences of an effective U (1) gauge symmetry.…”

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confidence: 99%

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Seiberg–Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane

Wang

Yang

2016

Physics Letters B

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We provide a new approach to study the noncommutative effects on the neutral Dirac particle with anomalous magnetic or electric dipole moment on the noncommutative plane. The advantages of this approach are demonstrated by investigating the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens effects. This approach is based on the effective U (1) gauge symmetry for the electrodynamics of spin on the two dimensional space. The Seiberg-Witten map for this symmetry is then employed when we study the noncommutative corrections. Because the Seiberg-Witten map preserves the gauge symmetry, the noncommutative corrections can be defined consistently with the ordinary phases. Based on this approach we find the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens phases consist of two terms. The first one depends on the beam particle velocity and consistence with the previous results. However the second term is velocity-independent and then completely new. Therefore our results indicate it is possible to investigate the noncommutative space by using ultra-cold neutron interferometer in which the velocity-dependent term is negligible. Furthermore, both these two terms are proportional to the ratio between the noncommutative parameter θ and the cross section A e/m of the electrical/magnetic charged line enclosed by the trajectory of beam particles. Therefore the experimental sensitivity can be significantly enhanced by reduce the cross section of the charge line A e/m .

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Section: Discussionmentioning

confidence: 99%

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confidence: 99%

Seiberg–Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane

Wang

Yang

2016

Physics Letters B

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“…In this paper, we study noncommutative corrections on the time-dependent AC effect. It was shown that to first order approximation, the time-dependent AC phase in a linearly polarized electromagnetic plane wave is identical to the static one [60]. Here we consider a different configuration, in which the time-dependence of the electromagnetic fields comes from a time-dependent charge density of the infinite charged line in the ordinary AC configuration.…”

Section: Successful Observations Of Gravitational Waves Indicate Thatmentioning

confidence: 99%

“…In the case that the magnetic field is also non-zero, the temporal component of the (9) has to be included [60]. For a constant magnetic field B  , the phase is simply given as…”

Section:  ( ) (mentioning

confidence: 99%

Time-dependent Aharonov–Casher effect on noncommutative space

Wang

Ma²

2022

Commun. Theor. Phys.

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In this paper we study time-dependent Aharonov-Casher effect and its corrections due to spatial noncommutativity. Given that charge of the infinite line in the Aharonov-Casher effect can adiabatically vary with time, we show that the original Aharonov-Casher phase receives an adiabatic correction, which is characterized by the time-dependent charge density. Based on Seiberg-Witten map, we show that noncommutative corrections to the time-dependent Aharonov-Casher phase contains not only an adiabatic term, but also a constant contribution depending on frequency of the varying electric field.

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“…The authors of Zhang [11] have suggested the possibility of testing spatial noncommutativity via cold Rydberg atoms. In Chaichian et al [12], Chaichian et al [13], Falomir et al [14], Li and Dulat [15], Mirza and Zarei [16], Li and Wang [17], Mirza et al [18], Singlton and Vagenas [19], Dulat and Ma [20] and Singleton and Ulbricht [21], the AharonovBohm type phase is studied on a NCS and a NCPS. A lower bound is shown to be 1/ √ θ ≥ 10 −6 GeV for the space noncommutativity parameter in Chaichian et al [12].…”

Section: Introductionmentioning

confidence: 99%

Aharonov-Bohm Phase for an Electric Dipole on a Noncommutative Space

Ababekri

Anwar

Hekim³

et al. 2016

Front. Phys.

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We study the non-relativistic behavior of a particle with electric dipole moment and interacting with external electromagnetic fields on a noncommutative space (NCS). For a special configuration of the field, the phase of an electric dipole is derived as an application of the Aharonov-Bohm effect to a system composed of two charges. We find that the quantum phase for an electric dipole obtains some corrections, and these corrections depend on the noncommutative parameter explicitly.

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The time-dependent Aharonov–Casher effect

Cited by 10 publications

References 21 publications

Seiberg–Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane

Seiberg–Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane

Time-dependent Aharonov–Casher effect on noncommutative space

Aharonov-Bohm Phase for an Electric Dipole on a Noncommutative Space

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