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Effective Hamiltonian approach to adiabatic approximation in open systems
Other titles
Adiabatic approximation in open systems: An alternative approach [Published]
Citation
Yi, X. X., Tong, D. M., Kwek, L. C., & Oh, C. H. (2013). Adiabatic approximation in open systems: An alternative approach. Journal of Physics B: Atomic, Molecular and Optical Physics, 40(2), 281. http://doi.org/10.1088/0953-4075/40/2/004
Abstract
The adiabatic approximation in open systems is formulated through the effective Hamiltonian approach. By introducing an ancilla, we embed the open system dynamics into a non-Hermitian quantum dynamics of a composite system, the adiabatic evolution of the open system is then defined as the adiabatic dynamics of the composite system. Validity and invalidity conditions for this approximation are established and discussed. A High-order adiabatic approximation for open systems is introduced. As an example, the adiabatic condition for an open spin- 1 2 particle in time-dependent magnetic fields is analyzed.
Date Issued
2013
Publisher
IOP Publishing
Journal
Journal of Physics B: Atomic Molecular and Optical Physics