scholarly journals Locality and Topology in the Molecular Aharonov-Bohm Effect

2002 ◽  
Vol 89 (21) ◽  
Author(s):  
Erik Sjöqvist
Keyword(s):  
And Topology ◽  
Bohm Effect ◽  
Aharonov Bohm

BRAID GROUPS, ANYONS AND GAUGE INVARIANCE

1991 ◽  
Vol 05 (10) ◽  
pp. 1649-1664 ◽  
Author(s):  
Yong-Shi Wu
Keyword(s):  
Mechanical Properties ◽  
Braid Group ◽  
Group Analysis ◽  
Braid Groups ◽  
Quantum Mechanical ◽  
The Novel ◽  
And Topology ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Nontrivial Topology

The structure of braid groups on topologically nontrivial surfaces is reviewed. The physical meaning of the braid relations and their implications on quantum mechanical properties of anyonic quasiparticles are discussed. These include not only the exotic statistics of anyons but also the Aharonov-Bohm effect for the anyons on a surface with holes. Several results on the novel properties of anyons or their states, which were previously derived by microscopic considerations, are reproduced by this seemingly kinematic and topology-dependent braid group analysis. It is suggested that in the thermodynamic limit, the global excitations in a system on a surface of nontrivial topology do not interfere with properties of local anyonic quasiparticles.

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

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

scholarly journals Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

2011 ◽  
Vol 84 (23) ◽  
Author(s):  
C. González-Santander ◽  
F. Domínguez-Adame ◽  
R. A. Römer
Keyword(s):  
Quantum Ring ◽  
Two Dimensional ◽  
Bohm Effect ◽  
Aharonov Bohm
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