Dynamics of a quantum phase transition in the Aubry-Andre-Harper model with p-wave superconductivity

被引：27

作者：

Tong, Xianqi ^{[1
]}

Meng, Ye-Ming ^{[1
]}

Jiang, Xunda ^{[2
,3
]}

Lee, Chaohong ^{[2
,3
,4
]}

Neto, Gentil Dias de Moraes ^{[1
]}

Xianlong, Gao ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

[2] Sun Yat Sen Univ, Guangdong Prov Key Lab Quantum Metrol & Sensing, Zhuhai Campus, Zhuhai 519082, Peoples R China

[3] Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai Campus, Zhuhai 519082, Peoples R China

[4] Sun Yat Sen Univ, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Peoples R China

来源：

PHYSICAL REVIEW B | 2021年 / 103卷 / 10期

关键词：

This work is supported by NSF of China (Grants No. 11835011 and No. 11774316) and Zhejiang Provincial Ten Thousand Talent Program (Grant No. 2017R52046);

D O I：

10.1103/PhysRevB.103.104202

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andre-Harper model with p-wave superconductivity by changing the potential strength with slow and sudden quench. Firstly, we study the slow quench dynamics from the localized phase to the critical phase by linearly decreasing the potential strength V. The localization length is finite and its scaling obeys the Kibble-Zurek mechanism. The results show that the second-order phase transition line shares the same critical exponent zv, giving the correlation length v = 1 and dynamical exponent z = 1.373 +/- 0.023, which are different from the Aubry-Andre model. Secondly, we also study the sudden quench dynamics between three different phases: localized phase, critical phase, and extended phase. In the limit of V = 0 and V = infinity, we analytically study the sudden quench dynamics via the Loschmidt echo. The results suggest that, if the initial state and the post-quench Hamiltonian are in different phases, the Loschmidt echo vanishes at some time intervals. Furthermore, we found that, if the initial value is in the critical phase, the direction of quenching is the same as one of the two limits mentioned before, and similar behaviors will occur.

引用

页数：10