Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits
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PhysRevA.90.062133.pdf
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Author(s)
Guo, Wei
Ma, Jian
Yin, Xiaolei
Zhong, Wei
Wang, Xiaoguang
Date Issued
December 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
Guo, Wei, Jian Ma, Xiaolei Yin, Wei Zhong, and Xiaoguang Wang. "Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits." Phys. Rev. A 90, 062133 (December 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We investigate the geometric phase of a two-level atom (qubit) coupled to a bosonic reservoir with Lorentzian spectral density and find that for the non-Markovian dynamics in which the rotating-wave approximation (RWA) is performed, the geometric phase has a π-phase jump at the nodal point. However, the exact result without the RWA given by the hierarchical equations of motion method shows that there is no such phase jump or nodal structure in the geometric phase. Thus our results demonstrate that the counterrotating terms significantly contribute to the geometric phase in the multimode Hamiltonian under certain circumstances.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.90.062133
