Exact quantum dissipative dynamics under external time-dependent fields driving
arXiv:0905.1432 · doi:10.1088/1367-2630/11/10/105037
Abstract
Exact and nonperturbative quantum master equation can be constructed via the calculus on path integral. It results in hierarchical equations of motion for the reduced density operator. Involved are also a set of well--defined auxiliary density operators that resolve not just system--bath coupling strength but also memory. In this work, we scale these auxiliary operators individually to achieve a uniform error tolerance, as set by the reduced density operator. An efficient propagator is then proposed to the hierarchical Liouville--space dynamics of quantum dissipation. Numerically exact studies are carried out on the dephasing effect on population transfer in the simple stimulated Raman adiabatic passage scheme. We also make assessments on several perturbative theories for their applicabilities in the present system of study.
References in corpus (4)
- Real-time path integral approach to nonequilibrium many-body quantum system
- Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
- Quantum optimal control theory and dynamic coupling in the spin-boson model
- Exact dynamics of driven Brownian oscillators
Cited by in corpus (8)
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Fisher information under decoherence in Bloch representation
- Entanglement Dynamics of Two Qubits in a Common Bath
- Reduced hierarchy equations of motion approach with Drude plus Brownian spectral distribution: Probing electron transfer processes by means of two- dimensionalcorrelation spectroscopy
- Spin Squeezing under Non-Markovian Channels by Hierarchy Equation Method
- Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
- Hierarchical theory of quantum dissipation: Partial fraction decomposition scheme
- Basic mechanisms in the laser control of non-Markovian dynamics