Optimal control of a symmetric double quantum-dot nanostructure: Analytical results

Journal Article · Tue May 15 00:00:00 EDT 2007 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.75.193305· OSTI ID:20951424

Kosionis, S G; Terzis, A F ^[1]; Paspalakis, E ^[2]

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1. Physics Department, School of Natural Sciences, University of Patras, Patras 265 04 (Greece)
2. Materials Science Department, School of Natural Sciences, University of Patras, Patras 265 04 (Greece)

We study the potential for optimal control of a symmetric double quantum-dot structure interacting with a single pulsed electromagnetic field. We first use the rotating wave and resonant approximations and reduce the dynamics of the system to that of a degenerate three-level {lambda}-type system. We also formulate the optimal control problem in terms of differential equations that have to be fulfilled by the optimal electromagnetic fields. We then obtain general analytical expressions for the optimal pulse shapes that lead to global maximization of the final population of the target state and of the time-averaged population of the target state in the quantum-dot structure.

• OSTI ID: 20951424
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 75, Issue 19; Other Information: DOI: 10.1103/PhysRevB.75.193305; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
OPTIMAL CONTROL
PULSE SHAPERS
QUANTUM DOTS
SEMICONDUCTOR MATERIALS