scholarly journals Topological pumping in Aharonov–Bohm rings

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Tobias Haug ◽  
Rainer Dumke ◽  
Leong-Chuan Kwek ◽  
Luigi Amico

Abstract Topological Thouless pumping and Aharonov–Bohm effect are both fundamental effects enabled by the topological properties of the system. Here, we study both effects together: topological pumping of interacting particles through Aharonov–Bohm rings. This system can prepare highly entangled many-particle states, transport them via topological pumping and interfere with them, revealing a fractional flux quantum. The type of the generated state is revealed by non-trivial Aharonov–Bohm interference patterns that could be used for quantum sensing. The reflections induced by the interference result from transitions between topological bands. Specific bands allow transport with a band gap scaling as the square-root of the particle number. Our system paves a new way for a combined system of state preparation and topological protected transport.

Author(s):  
Sandip Tiwari

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.


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

2020 ◽  
Vol 116 ◽  
pp. 113770 ◽  
Author(s):  
T. Mrabti ◽  
Z. Labdouti ◽  
A. Mouadili ◽  
E.H. El Boudouti ◽  
B. Djafari-Rouhani

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

2011 ◽  
Vol 84 (23) ◽  
Author(s):  
C. González-Santander ◽  
F. Domínguez-Adame ◽  
R. A. Römer

1987 ◽  
Vol 36 (17) ◽  
pp. 9326-9328 ◽  
Author(s):  
X. C. Xie ◽  
S. Das Sarma

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