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Chin. Phys. B, 2021, Vol. 30(3): 030505    DOI: 10.1088/1674-1056/abd694
Special Issue: SPECIAL TOPIC — Phononics and phonon engineering
TOPICAL REVIEW—Phononics and phonon engineering Prev   Next  

Anti-parity-time symmetric phase transition in diffusive systems

Pei-Chao Cao(曹培超) and Xue-Feng Zhu(祝雪丰)†
1 School of Physics and Innovation Institute, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  Parity-time (PT) symmetry/anti-parity-time (APT) symmetry in non-Hermitian systems reveal profound physics and spawn intriguing effects. Recently, it has been introduced into diffusive systems together with the concept of exceptional points (EPs) from quantum mechanics and the wave systems. With the aid of convection, we can generate complex thermal conductivity and imitate various wavelike dynamics in heat transfer, where heat flow can be "stopped" or moving against the background motion. Non-Hermitian diffusive systems offer us a new platform to investigate the heat wave manipulation. In this review, we first introduce the construction of APT symmetry in a simple double-channel toy model. Then we show the phase transition around the EP. Finally, we extend the double-channel model to the four-channel one for showing the high-order EP and the associated phase transition. In a general conclusion, the phase difference of adjacent channels is always static in the APT symmetric phase, while it dynamically evolves or oscillates when the APT symmetry is broken.
Keywords:  anti-parity-time symmetry      phase transition      exceptional point      heat transfer  
Received:  27 September 2020      Revised:  02 December 2020      Accepted manuscript online:  24 December 2020
PACS:  05.70.Fh (Phase transitions: general studies)  
  44.10.+i (Heat conduction)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11674119 and 11690032) and the Fundamental Research Funds for the Central Universities, China (HUST: 2019JYCXJJ038). X. F. Z. and P. C. C. acknowledge the financial support from the Bird Nest Plan of HUST.
Corresponding Authors:  Corresponding author. E-mail:   

Cite this article: 

Pei-Chao Cao(曹培超) and Xue-Feng Zhu(祝雪丰) Anti-parity-time symmetric phase transition in diffusive systems 2021 Chin. Phys. B 30 030505

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