Numerical approach of the quantum circuit theory

Numerical approach of the quantum circuit theory

In this paper we develop a numerical method based on the quantum circuit theory to approach the coherent electronic transport in a network of quantum dots connected with arbitrary topology. The algorithm was employed in a circuit formed by quantum dots connected each other in a shape of a linear cha...

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Bibliographic Details
Published in:Journal of computational physics Vol. 333; pp. 427 - 439
Main Authors: Silva, J.J.B., Duarte-Filho, G.C., Almeida, F.A.G.
Format: Journal Article
Language:English
Published: Cambridge Elsevier Inc 15-03-2017
Elsevier Science Ltd
Subjects:
ALGORITHMS
CALCULATION METHODS
Chains
CIRCUIT THEORY
Circuits
Closed loop systems
Computational physics
COMPUTERIZED SIMULATION
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Control systems
EFFICIENCY
Electron transport
Linear equations
Linear programming
NOISE
Numerical computation
Numerical methods
Quantum circuit theory
QUANTUM DOTS
Quantum transport
Resistance
Shot noise
Stochastic control theory
Time dependence
TOPOLOGY
Quantum circuit theory
Numerical computation
Quantum dots
Quantum transport
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Summary:In this paper we develop a numerical method based on the quantum circuit theory to approach the coherent electronic transport in a network of quantum dots connected with arbitrary topology. The algorithm was employed in a circuit formed by quantum dots connected each other in a shape of a linear chain (associations in series), and of a ring (associations in series, and in parallel). For both systems we compute two current observables: conductance and shot noise power. We find an excellent agreement between our numerical results and the ones found in the literature. Moreover, we analyze the algorithm efficiency for a chain of quantum dots, where the mean processing time exhibits a linear dependence with the number of quantum dots in the array.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2016.12.028