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Scattering symmetry of diffusive systems

Dong Wang1,2,3,*, Pei-Chao Cao4,*, Yanxiang Wang1,2,3, Minghong Qi1,2,3, Ran Ju5, Hongsheng Chen1,2,3,†, Cheng-Wei Qiu5,6,7,‡, and Ying Li1,2,3,§

  • 1State Key Laboratory of Extreme Photonics and Instrumentation, Key Laboratory of Advanced Micro/Nano Electronic Devices and Smart Systems of Zhejiang, Zhejiang University, Hangzhou 310027, China
  • 2International Joint Innovation Center, The Electromagnetics Academy at Zhejiang University, Zhejiang University, Haining 314400, China
  • 3Jinhua Institute of Zhejiang University, Zhejiang University, Jinhua 321099, China
  • 4Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
  • 5Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore
  • 6National University of Singapore Suzhou Research Institute, No. 377 Linquan Street, Suzhou, Jiangsu, China
  • 7Department of Physics, National University of Singapore, Singapore, Singapore

  • *These authors contributed equally to this work.
  • †Contact author: hansomchen@zju.edu.cn
  • ‡Contact author: chengwei.qiu@nus.edu.sg
  • §Contact author: eleying@zju.edu.cn

Phys. Rev. B 113, L100301 – Published 6 March, 2026

DOI: https://doi.org/10.1103/b1rb-nmb3

Abstract

Significant progress in manipulating heat diffusion has been achieved with the advent of non-Hermitian physics and topology. However, previous studies on diffusive systems have primarily concentrated on isolated cases, where fields decay exponentially over time. In practical scenarios, systems inevitably interact with external environments, making it essential to study their responses to external heat signals. This, in turn, relies on analyzing the scattering behavior of these signals. In our work, we experimentally realize thermal scattering in a diffusive anti-parity-time (APT) system. We define key parameters of the temperature field—amplitude, phase, and chirality—and reveal that the scattering symmetry of the APT diffusive system only arises when temperature signals with different chiralities interact. Such mechanism is induced by the channel's intrinsic time-reversal antisymmetry (anti-T symmetry), which gives rise to unique dispersion properties in diffusive systems, where positive and negative frequencies are inequivalent, corresponding to different chiralities. Our findings therefore highlight the pivotal role of scattering channels in dictating the symmetry and phase transitions of non-Hermitian systems, and our work provides an experimental platform to observe and control these strongly dissipative phenomena.

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