69 citations
4 papers
Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
M. Thorwart, J. Eckel, E. R. Mucciolo
We investigate the dynamics of a double quantum dot charge qubit which is coupled to piezoelectric acoustic phonons, appropriate for GaAs heterostructures. At low temperatures, the…
Local Lagrangian Formalism and Discretization of the Heisenberg Magnet Model
D. Karpeev, C. M. Schober
In this paper we develop the Lagrangian and multisymplectic structures of the Heisenberg magnet (HM) model which are then used as the basis for geometric discretizations of HM. Des…
Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
Alvaro L. Islas, Constance M. Schober
Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numeri…
Phonon Decoherence of a Double Quantum Dot Charge Qubit
Serguei Vorojtsov, Eduardo R. Mucciolo, Harold U. Baranger
We study decoherence of a quantum dot charge qubit due to coupling to piezoelectric acoustic phonons in the Born-Markov approximation. After including appropriate form factors, we…