DOI: 10.1063/1.1850899. Exact quantum master equation via the calculus on path integrals

Exact quantum master equation via the calculus on path integrals

10.1063/1.1850899

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation scheme is further proposed and compared with other approaches to close the resulting hierarchically coupled equations of motion. The interplay between system-bath interaction strength, non-Markovian property, and required level of hierarchy is also demonstrated with the aid of simple spin-boson systems.

Bibliography

Xu, R.-X., Cui, P., Li, X.-Q., Mo, Y., & Yan, Y. (2005). Exact quantum master equation via the calculus on path integrals. The Journal of Chemical Physics, 122(4).

Authors 5

Rui-Xue Xu (first)
Ping Cui (additional)
Xin-Qi Li (additional)
Yan Mo (additional)
YiJing Yan (additional)

References 20 Referenced 245

10.1143/JPSJ.58.101 / J. Phys. Soc. Jpn. (1989)
10.1103/PhysRevA.43.4131 / Phys. Rev. A (1991)
10.1103/PhysRevLett.82.1801 / Phys. Rev. Lett. (1999)
10.1103/PhysRevA.60.91 / Phys. Rev. A (1999)
10.1103/PhysRevA.69.052115 / Phys. Rev. A (2004)
10.1103/PhysRevA.69.062107 / Phys. Rev. A (2004)
10.1063/1.1647528 / J. Chem. Phys. (2004)
10.1016/j.cplett.2004.07.036 / Chem. Phys. Lett. (2004)
10.1016/0003-4916(63)90068-X / Ann. Phys. (N.Y.) (1963)
{'key': '2023070900055038400_r10'}
10.1103/PhysRevD.45.2843 / Phys. Rev. D (1992)
10.1103/PhysRevE.55.153 / Phys. Rev. E (1997)
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10.1103/PhysRevA.58.2721 / Phys. Rev. A (1998)
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{'key': '2023070900055038400_r18'}
10.1063/1.1624830 / J. Chem. Phys. (2003)
{'key': '2023070900055038400_r20'}

Dates

Type	When
Created	20 years, 7 months ago (Jan. 10, 2005, 6:01 p.m.)
Deposited	2 years, 1 month ago (July 8, 2023, 8:06 p.m.)
Indexed	1 month ago (July 30, 2025, 6:45 a.m.)
Issued	20 years, 7 months ago (Jan. 11, 2005)
Published	20 years, 7 months ago (Jan. 11, 2005)
Published Online	20 years, 7 months ago (Jan. 11, 2005)
Published Print	20 years, 7 months ago (Jan. 22, 2005)

Funders 0

None

BibTeX

@article{Xu_2005, title={Exact quantum master equation via the calculus on path integrals}, volume={122}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1850899}, DOI={10.1063/1.1850899}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Xu, Rui-Xue and Cui, Ping and Li, Xin-Qi and Mo, Yan and Yan, YiJing}, year={2005}, month=jan }

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