Analytical solution of the time evolution of an entangled electron spin pair in a double quantum dot nanostructure
arXiv:cond-mat/0508662 · doi:10.1063/1.2007629
Abstract
Using master equations we present an analytical solution of the time evolution of an entangled electron spin pair which can occupy 36 different quantum states in a double quantum dot nanostructure. This solution is exact given a few realistic assumptions and takes into account relaxation and decoherence rates of the electron spins as phenomenological parameters. Our systematic method of solving a large set of coupled differential equations is straightforward and can be used to obtain analytical predictions of the quantum evolution of a large class of complex quantum systems, for which until now commonly numerical solutions have been sought.
23 pages, 3 figures
References in corpus (10)
- Single-shot read-out of an individual electron spin in a quantum dot
- Few-Electron Quantum Dot Circuit with Integrated Charge Read-Out
- Spin-entangled currents created by a triple quantum dot
- Detection of Quantum Noise from an Electrically-Driven Two-Level System
- Detecting Spin-Polarized Currents in Ballistic Nanostructures
- Transport through a double quantum dot in the sequential- and co- tunneling regimes
- Single Spin Dynamics and Decoherence in a Quantum Dot via Charge Transport
- Spin and Polarized Current from Coulomb Blockaded Quantum Dots
- Relaxation and Zeno effect in qubit measurements
- Semiconductor few-electron quantum dot operated as a bipolar spin filter