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Origin and classification of fractional dynamical topology in non-Hermitian quantum systems

  • Zimiao Zhang
  • Li Chen
  • Weilun Jiang
  • Heng Shen
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Abstract

Dynamical quantum phase transitions (DQPT) provide a fundamental framework for characterizing nonequilibrium critical phenomena, and have recently been extended to non-Hermitian systems. Half-integer jumps of the dynamical topological order parameter can arise in both Hermitian and non-Hermitian systems, yet their origin in non-Hermitian settings remains unclear. Here, we investigate DQPTs in a two-band non-Hermitian model and show that these fractional jumps originate from the discontinuity in the complex energy spectrum. We demonstrate that this behavior is intrinsically linked to the steady-state phase diagram of the quench Hamiltonian, and also classify the occurrence of DQPT. We further extend our analysis to the multiband Hamiltonian and the two-dimensional model, providing a unified understanding of fractional dynamical topological signatures.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026origin,
  title = {{Origin and classification of fractional dynamical topology in non-Hermitian quantum systems}},
  author = {Zimiao Zhang and Li Chen and Weilun Jiang and Heng Shen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05262},
  eprint = {2610.05262},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05262},
}
RIS
TY  - UNPB
TI  - Origin and classification of fractional dynamical topology in non-Hermitian quantum systems
AU  - Zimiao Zhang
AU  - Li Chen
AU  - Weilun Jiang
AU  - Heng Shen
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05262
UR  - https://arxiv.org/abs/2610.05262
AB  - Dynamical quantum phase transitions (DQPT) provide a fundamental framework for characterizing nonequilibrium critical phenomena, and have recently been extended to non-Hermitian systems. Half-integer jumps of the dynamical topological order parameter can arise in both Hermitian and non-Hermitian systems, yet their origin in non-Hermitian settings remains unclear. Here, we investigate DQPTs in a two-band non-Hermitian model and show that these fractional jumps originate from the discontinuity in the complex energy spectrum. We demonstrate that this behavior is intrinsically linked to the steady-state phase diagram of the quench Hamiltonian, and also classify the occurrence of DQPT. We further extend our analysis to the multiband Hamiltonian and the two-dimensional model, providing a unified understanding of fractional dynamical topological signatures.
ER  -