scholarly journals Aharonov-Bohm phase operations on a double-barrier nanoring charge qubit

2006 ◽  
Vol 74 (3) ◽  
Author(s):  
Yuquan Wang ◽  
Ning Yang ◽  
Jia-Lin Zhu
Keyword(s):  
Double Barrier ◽  
Charge Qubit ◽  
Aharonov Bohm

Aharonov-Bohm oscillation modes in double-barrier nanorings

2003 ◽  
Vol 67 (7) ◽  
Author(s):  
Jia-Lin Zhu ◽  
Xiquan Yu ◽  
Zhensheng Dai ◽  
Xiao Hu
Keyword(s):  
Double Barrier ◽  
Oscillation Modes ◽  
Aharonov Bohm

NOVEL FLUX INDUCED RESONANT TUNNELING IN THE MESOSCOPIC RING CONFINED BETWEEN POTENTIAL BARRIERS

1995 ◽  
Vol 09 (20) ◽  
pp. 2719-2734 ◽  
Author(s):  
ALMAS F. SADREEV ◽  
VALERY A. VID’MANOV
Keyword(s):  
Magnetic Flux ◽  
Transport Properties ◽  
Resonant Tunneling ◽  
Quantization Condition ◽  
Double Barrier ◽  
One Dimensional ◽  
Potential Barriers ◽  
Mesoscopic Ring ◽  
Aharonov Bohm ◽  
Double Barrier Structure

Transport properties of mesoscopic rings confined between potential barriers are considered. Also considered is the double barrier structure with barriers fabricated of rings connected by a one-dimensional wire. Such structures we define as Aharonov-Bohm diodes with resonant tunneling (ABDRT) because for zero external magnetic flux their transport properties are quite similar to diodes with resonant tunneling (DRT). However, application of external magnetic flux gives rise to new resonant peaks of transmission determined by the quantization condition of the rings. Positions and widths of these novel flux induced resonant peaks extremely depend on the flux.

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.

Resonant tunnelling in AlInas/GaInAs double barrier diodes grown by MOCVD

1988 ◽  
Vol 24 (3) ◽  
pp. 187 ◽  
Author(s):  
P.D. Hodson ◽  
D.J. Robbins ◽  
R.H. Wallis ◽  
J.I. Davies ◽  
A.C. Marshall
Keyword(s):  
Double Barrier ◽  
Resonant Tunnelling

scholarly journals Beating of Aharonov-Bohm oscillations in a closed-loop interferometer

2007 ◽  
Vol 76 (3) ◽  
Author(s):  
Sanghyun Jo ◽  
Gyong Luck Khym ◽  
Dong-In Chang ◽  
Yunchul Chung ◽  
Hu-Jong Lee ◽  
...  
Keyword(s):  
Closed Loop ◽  
Aharonov Bohm

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

scholarly journals Enhancing finite difference approximations for double barrier options: mesh optimization and repeated Richardson extrapolation

2021 ◽  
Author(s):  
Luca Vincenzo Ballestra
Keyword(s):  
Finite Difference ◽  
Optimization Procedure ◽  
Richardson Extrapolation ◽  
Mesh Optimization ◽  
Option Prices ◽  
Barrier Option ◽  
Double Barrier ◽  
Finite Difference Approximations ◽  
Barrier Option Pricing ◽  
Richardson Extrapolation Technique

AbstractWe show that the performances of the finite difference method for double barrier option pricing can be strongly enhanced by applying both a repeated Richardson extrapolation technique and a mesh optimization procedure. In particular, first we construct a space mesh that is uniform and aligned with the discontinuity points of the solution being sought. This is accomplished by means of a suitable transformation of coordinates, which involves some parameters that are implicitly defined and whose existence and uniqueness is theoretically established. Then, a finite difference scheme employing repeated Richardson extrapolation in both space and time is developed. The overall approach exhibits high efficacy: barrier option prices can be computed with accuracy close to the machine precision in less than one second. The numerical simulations also reveal that the improvement over existing methods is due to the combination of the mesh optimization and the repeated Richardson extrapolation.

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