TY - GEN
T1 - Completely positive trace preserving numerical methods for long-term generalized Maxwell-Bloch simulations
AU - Riesch, Michael
AU - Jirauschek, Christian
N1 - Publisher Copyright:
© 2019 IEEE
PY - 2019
Y1 - 2019
N2 - The Maxwell-Bloch equations describe the interaction of light (treated classically with Maxwell's equations) and matter, where the latter is modeled as an ensemble of quantum mechanical systems with two energy levels. The dynamical behavior of the systems is described by the optical Bloch equations. This concept can be generalized to an arbitrary number of energy levels with the help of the density matrix ρ and the Lindblad master equation ∂t ρ = −i~−1[Ĥ, ρ] + D(ρ), where Ĥ is the Hamiltonian of the system and D accounts for dissipation.
AB - The Maxwell-Bloch equations describe the interaction of light (treated classically with Maxwell's equations) and matter, where the latter is modeled as an ensemble of quantum mechanical systems with two energy levels. The dynamical behavior of the systems is described by the optical Bloch equations. This concept can be generalized to an arbitrary number of energy levels with the help of the density matrix ρ and the Lindblad master equation ∂t ρ = −i~−1[Ĥ, ρ] + D(ρ), where Ĥ is the Hamiltonian of the system and D accounts for dissipation.
UR - http://www.scopus.com/inward/record.url?scp=85084604197&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85084604197
SN - 9781728104690
T3 - Optics InfoBase Conference Papers
BT - European Quantum Electronics Conference, EQEC_2019
PB - Optica Publishing Group (formerly OSA)
T2 - European Quantum Electronics Conference, EQEC_2019
Y2 - 23 June 2019 through 27 June 2019
ER -