The study of an extended hierarchy equation of motion in the spin-boson model: The cutoff function of the sub-Ohmic spectral density

The Journal of Chemical Physics
Chenru DuanJianlan Wu

Abstract

Following a recently proposed decomposition technique [C. R. Duan et al., Phys. Rev. B 95, 214308 (2017)], we inspect the zero-temperature spin-boson model for five different cutoff functions of the spectral density. With oscillatory and non-oscillatory exponentially decaying functions to decompose the bath correlation function, the hierarchy equation of motion is reliably extended to each spectral density under our investigation. The predicted spin dynamics is gradually converged with the increase of the hierarchic expansion order and the number of decomposing basis functions. Our systematic study of different cutoff functions expands previous results of the delocalized-localized phase transition with the exponential and sudden cutoffs in the spectral density.

References

Mar 3, 2005·The Journal of Chemical Physics·Rui-Xue XuYiJing Yan
Aug 7, 2007·Physical Review Letters·Frithjof B AndersMatthias Vojta
Jan 22, 2008·The Journal of Chemical Physics·Yun Zhou, Jiushu Shao
Mar 5, 2009·The Journal of Chemical Physics·Qiang ShiYijing Yan
Sep 21, 2010·The Journal of Chemical Physics·Jie HuYijing Yan
Sep 28, 2010·Physical Review Letters·Javier PriorMartin B Plenio
Feb 7, 2013·Physical Review Letters·Denis Kast, Joachim Ankerhold
Dec 11, 2014·Annual Review of Physical Chemistry·Aurélia Chenu, Gregory D Scholes
Nov 18, 2015·Journal of Chemical Theory and Computation·Masashi Tsuchimoto, Yoshitaka Tanimura
Dec 17, 2015·The Journal of Chemical Physics·Zhoufei TangJianlan Wu

❮ Previous
Next ❯

Citations

Mar 3, 2019·The Journal of Chemical Physics·Qianlong WangJianlan Wu
Dec 16, 2019·The Journal of Chemical Physics·Zhihao Gong, Jianlan Wu
Mar 6, 2021·The Journal of Physical Chemistry Letters·Xin HeJian Liu
May 1, 2021·The Journal of Physical Chemistry. B·Maxim F GelinLipeng Chen
May 2, 2020·The Journal of Physical Chemistry Letters·Chenru DuanJianshu Cao

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.