scholarly journals Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields

2016 ◽  
Vol 755 ◽  
pp. 88-91 ◽  
Author(s):  
Seyed Ali Hosseini Mansoori ◽  
Behrouz Mirza
Keyword(s):  
Time Dependent ◽  
Gauge Fields ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Synthesis and observation of non-Abelian gauge fields in real space

Science ◽  
2019 ◽  
Vol 365 (6457) ◽  
pp. 1021-1025 ◽  
Author(s):  
Yi Yang ◽  
Chao Peng ◽  
Di Zhu ◽  
Hrvoje Buljan ◽  
John D. Joannopoulos ◽  
...  
Keyword(s):  
Gauge Field ◽  
Building Blocks ◽  
Real Space ◽  
Gauge Fields ◽  
Final States ◽  
Abelian Gauge ◽  
Classical Waves ◽  
Break Time ◽  
Bohm Effect ◽  
Aharonov Bohm

Particles placed inside an Abelian (commutative) gauge field can acquire different phases when traveling along the same path in opposite directions, as is evident from the Aharonov-Bohm effect. Such behaviors can get significantly enriched for a non-Abelian gauge field, where even the ordering of different paths cannot be switched. So far, real-space realizations of gauge fields have been limited to Abelian ones. We report an experimental synthesis of non-Abelian gauge fields in real space and the observation of the non-Abelian Aharonov-Bohm effect with classical waves and classical fluxes. On the basis of optical mode degeneracy, we break time-reversal symmetry in different manners, via temporal modulation and the Faraday effect, to synthesize tunable non-Abelian gauge fields. The Sagnac interference of two final states, obtained by reversely ordered path integrals, demonstrates the noncommutativity of the gauge fields. Our work introduces real-space building blocks for non-Abelian gauge fields, relevant for classical and quantum exotic topological phenomena.

Observation of non-Abelian Aharonov-Bohm Effect with synthetic gauge fields

2020 ◽  
Author(s):  
Yi Yang ◽  
Chao Peng ◽  
Di Zhu ◽  
Hrvoje Buljan ◽  
John D. Joannopoulos ◽  
...  
Keyword(s):  
Gauge Fields ◽  
Bohm Effect ◽  
Synthetic Gauge Fields ◽  
Aharonov Bohm

scholarly journals The covariant, time-dependent Aharonov–Bohm effect

2013 ◽  
Vol 723 (1-3) ◽  
pp. 241-244 ◽  
Author(s):  
Douglas Singleton ◽  
Elias C. Vagenas
Keyword(s):  
Time Dependent ◽  
Bohm Effect ◽  
Aharonov Bohm

Analysis of Aharonov-Bohm effect due to time-dependent vector potentials

1992 ◽  
Vol 45 (7) ◽  
pp. 4319-4325 ◽  
Author(s):  
B. Lee ◽  
E. Yin ◽  
T. K. Gustafson ◽  
R. Chiao
Keyword(s):  
Time Dependent ◽  
Vector Potentials ◽  
Dependent Vector ◽  
Bohm Effect ◽  
Aharonov Bohm

TOPOLOGICAL EFFECTS IN QUANTUM MECHANICS AND HIGH VELOCITY ESTIMATES

2011 ◽  
Vol 20 (05) ◽  
pp. 951-961 ◽  
Author(s):  
RICARDO WEDER
Keyword(s):  
Exact Solution ◽  
Quantum Mechanics ◽  
Error Bounds ◽  
High Velocity ◽  
Wave Packets ◽  
Finite Energy ◽  
Time Dependent ◽  
Rigorous Proof ◽  
Bohm Effect ◽  
Aharonov Bohm

We consider the problem of obtaining high-velocity estimates for finite energy solutions (wave packets) to Schrödinger equations for N-body systems. We discuss a time-dependent method that allows us to obtain precise estimates with error bounds that decay as a power of the velocity. We apply this method to the electric Aharonov–Bohm effect. We give the first rigorous proof that quantum mechanics predicts the existence of this effect. Our result follows from an estimate in norm, uniform in time, that proves that the Aharonov–Bohm Ansatz is a good approximation to the exact solution to the Schrödinger equation for high velocity.

scholarly journals On the time-dependent Aharonov–Bohm effect

2017 ◽  
Vol 774 ◽  
pp. 87-90 ◽  
Author(s):  
Jian Jing ◽  
Yu-Fei Zhang ◽  
Kang Wang ◽  
Zheng-Wen Long ◽  
Shi-Hai Dong
Keyword(s):  
Time Dependent ◽  
Bohm Effect ◽  
Aharonov Bohm

Magnetic Aharonov-Bohm effect under time-dependent vector potential

2000 ◽  
Vol 26 (5) ◽  
pp. 392-393 ◽  
Author(s):  
A. N. Ageev ◽  
S. Yu. Davydov ◽  
A. G. Chirkov
Keyword(s):  
Vector Potential ◽  
Time Dependent ◽  
Dependent Vector ◽  
Bohm Effect ◽  
Aharonov Bohm
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