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 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.

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

The Aharonov-Bohm Effect and Its Applications to Magnetic Field Observation

2013 ◽  
Vol 02 (01) ◽  
pp. 26-36
Author(s):  
Akira Tonomura
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Gauge Fields ◽  
Observable Effect ◽  
Classical Physics ◽  
Vector Potentials ◽  
Lorentz Forces ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Wave Properties

This article describes the Aharonov-Bohm (AB) effect of electron waves travelling in free space and its application to the observation of gauge fields (vector potentials). The AB effect is inconceivable in classical physics since an observable effect is produced on electrons passing through field-free spaces. Electrons can be affected only by Lorentz forces due to electromagnetic fields. The situation is different in quantum mechanics, where electrons show wave properties: the concept of force is no longer relevant, so electric field E and magnetic field B, defined as forces acting on a unit charge, take on secondary meanings. “Phase shifts” come into play, and the primary physical entities become neither E nor B but electrostatic potential V and vector potential A. These potentials interact with electron waves and shift their phases.

The Aharonov-Bohm Effect Without Gauge Fields - A Paradox

1991 ◽  
Author(s):  
Igor Klebanov ◽  
Leonard Susskind
Keyword(s):  
Gauge Fields ◽  
Bohm Effect ◽  
Aharonov Bohm

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

scholarly journals Two-flux tunable Aharonov-Bohm effect in a photonic lattice

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
V. Brosco ◽  
L. Pilozzi ◽  
C. Conti
Keyword(s):  
Bohm Effect ◽  
Aharonov Bohm

Aharonov-Bohm-effect induced transparency and reflection in mesoscopic rings side coupled to a quantum wire

2020 ◽  
Vol 116 ◽  
pp. 113770 ◽  
Author(s):  
T. Mrabti ◽  
Z. Labdouti ◽  
A. Mouadili ◽  
E.H. El Boudouti ◽  
B. Djafari-Rouhani
Keyword(s):  
Quantum Wire ◽  
Bohm Effect ◽  
Induced Transparency ◽  
Aharonov Bohm

Aptly named Aharonov-Bohm effect has classical analogue, long history

Physics Today ◽  
2010 ◽  
Vol 63 (8) ◽  
pp. 8-10
Author(s):  
Murray Peshkin
Keyword(s):  
Classical Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

Comment on ‘‘A critical re‐examination of the Aharonov–Bohm effect’’

1985 ◽  
Vol 53 (8) ◽  
pp. 777-778 ◽  
Author(s):  
A. Burnel ◽  
V. Reekmans
Keyword(s):  
Bohm Effect ◽  
Aharonov Bohm
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