Dynamical correlation functions of the quadratic coupling spin-Boson model

doi:10.1088/1674-1056/26/6/060502

中国物理B ›› 2017, Vol. 26 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/26/6/060502

Dynamical correlation functions of the quadratic coupling spin-Boson model

Da-Chuan Zheng(郑大川), Ning-Hua Tong(同宁华)

Department of Physics, Renmin University of China, Beijing 100872, China

收稿日期:2017-02-20 修回日期:2017-03-21 出版日期:2017-06-05 发布日期:2017-06-05
通讯作者: Ning-Hua Tong E-mail:nhtong@ruc.edu.cn
基金资助:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB921704), the National Natural Science Foundation of China (Grant No. 11374362), the Fundamental Research Funds for the Central Universities, China, and the Research Funds of Renmin University of China (Grant No. 15XNLQ03).

Dynamical correlation functions of the quadratic coupling spin-Boson model

Da-Chuan Zheng(郑大川), Ning-Hua Tong(同宁华)

Department of Physics, Renmin University of China, Beijing 100872, China

Received:2017-02-20 Revised:2017-03-21 Online:2017-06-05 Published:2017-06-05
Contact: Ning-Hua Tong E-mail:nhtong@ruc.edu.cn
Supported by:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB921704), the National Natural Science Foundation of China (Grant No. 11374362), the Fundamental Research Funds for the Central Universities, China, and the Research Funds of Renmin University of China (Grant No. 15XNLQ03).

摘要/Abstract

摘要：

The spin-boson model with quadratic coupling is studied using the bosonic numerical renormalization group method. We focus on the dynamical auto-correlation functions C_O(ω), with the operator Ô taken as σ_x, σ_z, and X, respectively. In the weak-coupling regime α < α_c, these functions show power law ω-dependence in the small frequency limit, with the powers 1+2s, 1+2s, and s, respectively. At the critical point α=α_c of the boson-unstable quantum phase transition, the critical exponents y_O of these correlation functions are obtained as y_{σ_x}=y_{σ_z}=1-2s and y_X=-s, respectively. Here s is the bath index and X is the boson displacement operator. Close to the spin flip point, the high frequency peak of C_{σ_x}(ω) is broadened significantly and the line shape changes qualitatively, showing enhanced dephasing at the spin flip point.

关键词: quadratic-coupling spin-boson model, numerical renormalization group, quantum phase transition, dynamical correlation function

Abstract:

Key words: quadratic-coupling spin-boson model, numerical renormalization group, quantum phase transition, dynamical correlation function

中图分类号: (Renormalization group methods)

05.10.Cc

64.70.Tg (Quantum phase transitions) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 05.30.Jp (Boson systems)

郑大川, 同宁华. Dynamical correlation functions of the quadratic coupling spin-Boson model[J]. 中国物理B, 2017, 26(6): 60502-060502.

Da-Chuan Zheng(郑大川), Ning-Hua Tong(同宁华). Dynamical correlation functions of the quadratic coupling spin-Boson model[J]. Chin. Phys. B, 2017, 26(6): 60502-060502.

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Dynamical correlation functions of the quadratic coupling spin-Boson model

Dynamical correlation functions of the quadratic coupling spin-Boson model

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