Magnetic Aharonov-Bohm effect under time-dependent vector potential

Ageev, A. N.; Davydov, S. Yu.; Chirkov, A. G.

doi:10.1134/1.1262854

Cited by 15 publications

(35 citation statements)

References 5 publications

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“…This experiment was also along the lines of [12], which studied decoherence effects due to the time-varying Aharonov-Bohm phase coming from an elec-tromagnetic wave. The results of the experiment described in [16,17] were that evidence for an Aharonov-Bohm phase from the time-varying fields and potentials was not observed -thus these results were similar to the accidental experiment of Marton et al, where the effect of the time variation was not seen in the interference pattern. The explanation of the non-observation of the time variation in the experiment [16] was that the parameters of the set-up were such that the time variation effect was too small to be seen [17].…”

Section: Introductionsupporting

confidence: 78%

“…The results of the experiment described in [16,17] were that evidence for an Aharonov-Bohm phase from the time-varying fields and potentials was not observed -thus these results were similar to the accidental experiment of Marton et al, where the effect of the time variation was not seen in the interference pattern. The explanation of the non-observation of the time variation in the experiment [16] was that the parameters of the set-up were such that the time variation effect was too small to be seen [17]. We come to a similar conclusion from our analysis -in order to observe the time variation one must carefully choose the various parameters of the set-up: the frequency and amplitude of the electromagnetic wave, the size of the loop, the velocity of the particle, etc.…”

Section: Introductionsupporting

confidence: 78%

“…The above discussion is by no means exhaustive, but it is merely to show the interrelatedness of the system parameters, A 0 and ω (and in more general situations x and v), in determining when the time-dependent Aharonov-Bohm phase would be observable. Some of the same conclusion were reached in [17].…”

Section: T) With This the Left Half Of The Surface Integral Issupporting

confidence: 66%

“…In [15], the explanation given for the observation of the static interference pattern in [13] was due to a cancellation between the time-varying Aharonov-Bohm phase and a phase coming from the induced electric field that accompanied the timevarying magnetic field. The second test of the time-dependent Aharonov-Bohm was the experiment in [16,17]. This experiment used fields from an electromagnetic wave with a frequency in the microwave region and was along the lines of the set-up suggested in [11] for testing the time-varying Aharonov-Bohm effect.…”

Section: Introductionmentioning

confidence: 99%

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Aharonov–Bohm phase for an electromagnetic wave background

2015

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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 time-dependent potentials. In particular, we focus on the case of a charged particle moving in the time-varying field of a plane electromagnetic wave. We work out the Aharonov-Bohm phase using both the potential (i.e. A μ dx μ ) and the field (i.e. 1 2 F μν dσ μν ) forms of the Aharonov-Bohm phase. We give conditions in terms of the parameters of the system (frequency of the electromagnetic wave, the size of the space-time loop, amplitude of the electromagnetic wave) under which the time-varying Aharonov-Bohm effect could be observed.

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Section: Introductionsupporting

confidence: 78%

Section: Introductionsupporting

confidence: 78%

Section: T) With This the Left Half Of The Surface Integral Issupporting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

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Aharonov–Bohm phase for an electromagnetic wave background

2015

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“…Thus, at this point we have confirmed, with specific contours and areas, the cancellation between the electric and "Abelian magnetic" parts of the non-Abelian Aharonov-Bohm phase, which was shown generally in (18). The final piece we need to deal with is the prototypical non-Abelian piece of the magnetic contribution, namely…”

Section: δFsupporting

confidence: 72%

Time-dependent non-Abelian Aharonov-Bohm effect

Bright

Singleton

2015

Phys. Rev. D

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In this article, we study the time-dependent Aharonov-Bohm effect for non-Abelian gauge fields. We use two well-known time-dependent solutions to the Yang-Mills field equations to investigate the AharonovBohm phase shift. For both of the solutions, we find a cancellation between the phase shift coming from the non-Abelian "magnetic" field and the phase shift coming from the non-Abelian "electric" field, which inevitably arises in time-dependent cases. We compare and contrast this cancellation for the time-dependent non-Abelian case to a similar cancellation which occurs in the time-dependent Abelian case. We postulate that this cancellation occurs generally in time-dependent situations for both Abelian and non-Abelian fields.

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A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov–Bohm flux

Kalvoda

Šťovı́ček

2011

Annals of Physics

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Magnetic Aharonov-Bohm effect under time-dependent vector potential

Cited by 15 publications

References 5 publications

Aharonov–Bohm phase for an electromagnetic wave background

Aharonov–Bohm phase for an electromagnetic wave background

Time-dependent non-Abelian Aharonov-Bohm effect

A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov–Bohm flux

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