Estimation of the spatial decoherence time in circular quantum dots

Abstract

We propose a simple phenomenological model to estimate the spatial decoherence time in quantum dots. The dissipative phase space dynamics is described in terms of the density matrix and the corresponding Wigner function, which are derived from a master equation with Lindblad operators linear in the canonical variables. The formalism was initially developed to describe diffusion and dissipation in deep inelastic heavy ion collisions, but also an application to quantum dots is possible. It allows us to study the dependence of the decoherence rate on the dissipation strength, the temperature and an external magnetic field, which is demonstrated in illustrative calculations on a circular GaAs one-electron quantum dot.

References in corpus (35)

• Quantum Computation with Quantum Dots
• Decoherence, einselection, and the quantum origins of the classical
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Phonon-induced decay of the electron spin in quantum dots
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Electron spin evolution induced by interaction with nuclei in a quantum dot
• A non-Markovian decoherence theory for double dot charge qubit
• Exact time evolution and master equations for the damped harmonic oscillator
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot
• Two - Level Atom - Field Interaction: Exact Master Equations for Non-Markovian Dynamics, Decoherence and Relaxation
• Charge decoherence in laterally coupled quantum dots due to electron-phonon interactions
• Hyperfine interaction induced decoherence of electron spins in quantum dots
• Phonon Decoherence of a Double Quantum Dot Charge Qubit
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
• The Emergence of Classicality via Decoherence Described by Lindblad Operators
• Phonon-induced electron relaxation in weakly-confined single and coupled quantum dots
• Purity and decoherence in the theory of a damped harmonic oscillator
• Decoherence in Nearly-Isolated Quantum Dots
• Quantum decoherence and classical correlations of the harmonic oscillator in the Lindblad theory
• Reduced electron relaxation rate in multi-electron quantum dots
• Elastic Spin Relaxation Processes in Semiconductor Quantum Dots
• Tunneling with dissipation in open quantum systems
• Temperature induced spin coherence dissipation in quantum dots
• Reexamination of spin decoherence in semiconductor quantum dots from equation-of-motion approach
• Effect of transport coefficients on the time-dependence of density matrix
• Control of electron spin and orbital resonance in quantum dots through spin-orbit interactions
• Decoherence of coupled electron spins via nuclear spin dynamics in quantum dots
• Decoherence of molecular wave packets in an anharmonic potential
• Spin Decoherence from Hamiltonian dynamics in Quantum Dots
• Uncertainty functions of the open quantum harmonic oscillator in the Lindblad theory
• Many-Body perturbation theory calculations on circular quantum dots
• Dissipative tunneling through a parabolic potential in the Lindblad theory of open quantum systems
• Controlled Operations in a Strongly Correlated Two-Electron Quantum Ring