Solving the spin-boson model of strong dissipation with flexible random-deterministic scheme

The Journal of Chemical Physics
Yun Zhou, Jiushu Shao

Abstract

The zero-temperature dynamics of the spin-boson model with strong dissipation has been a challenging problem for more than 20 years. To solve this and quantum dynamics of dissipative systems at large, we recently proposed a mixed random-deterministic method. This scheme has been successfully used to simulate the time evolution of the spin-boson model at zero temperature for weak to moderate dissipation. For a better numerical performance, the approach is further modified so that it is flexible to convert a certain part of the random treatment to a deterministic one a la hierarchical equations. Applying the new method to the strong dissipated spin-boson model at zero temperature, we observe that the population in the localized state obeys a simple decay dynamics and the time scale is proportional to the reciprocal of the cutoff frequency.

References

Feb 1, 1995·Physical Review. a·W G Unruh
Sep 1, 1985·Physical Review. B, Condensed Matter·H GrabertU Weiss
Oct 1, 1985·Physical Review. B, Condensed Matter·F GuineaA Muramatsu
Nov 15, 1994·Physical Review. B, Condensed Matter·R Egger, C H Mak
Apr 15, 1985·Physical Review Letters·H Grabert, U Weiss
Apr 15, 1985·Physical Review Letters·M P Fisher, A T Dorsey
Apr 17, 2002·Physical Review Letters·O Juillet, Ph Chomaz
May 15, 2002·Physical Review Letters·Jürgen T Stockburger, Hermann Grabert
Jul 23, 2004·The Journal of Chemical Physics·Jiushu Shao
Mar 3, 2005·The Journal of Chemical Physics·Rui-Xue XuYiJing Yan

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Citations

Mar 29, 2013·The Journal of Chemical Physics·Mohammad M Sahrapour, Nancy Makri
Mar 5, 2009·The Journal of Chemical Physics·Qiang ShiYijing Yan
Dec 20, 2012·The Journal of Chemical Physics·Haobin Wang, Jiushu Shao
Jan 15, 2014·The Journal of Chemical Physics·Haifeng LiRobert Alicki
Nov 28, 2012·The Journal of Chemical Physics·Lili ZhuQiang Shi
Sep 11, 2009·The Journal of Chemical Physics·Liping ChenYijing Yan
May 2, 2009·The Journal of Chemical Physics·Qiang ShiYiJing Yan
Dec 9, 2009·The Journal of Chemical Physics·Rui-Xue XuYijing Yan
Jan 21, 2014·The Journal of Chemical Physics·Mehdi ZareaMichael R Wasielewski
Feb 26, 2009·The Journal of Chemical Physics·Rui-Xue XuYiJing Yan
Oct 10, 2009·The Journal of Chemical Physics·Zhiguo Lü, Hang Zheng
Aug 12, 2014·The Journal of Chemical Physics·Yun-An Yan, Shaohong Cai
Apr 15, 2016·The Journal of Physical Chemistry Letters·Arnab KarIgnacio Franco
Jun 17, 2016·The Journal of Chemical Physics·Kai SongQiang Shi
Jul 17, 2016·The Journal of Chemical Physics·Yaling Ke, Yi Zhao
Jul 16, 2019·The Journal of Chemical Physics·Xin He, Jian Liu
Jun 4, 2020·The Journal of Chemical Physics·Lu HanVladimir Chernyak
Mar 3, 2019·The Journal of Chemical Physics·Qianlong WangJianlan Wu
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Haifeng LiShikuan Wang
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eli PollakDong Hui Zhang
May 1, 2021·The Journal of Physical Chemistry. B·Maxim F GelinLipeng Chen

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