From Complexification to Self-Similarity: New Aspects of Quantum Criticality
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917893842665472 |
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| author | Liu, Yang Zhao, Erhai Zou, Haiyuan |
| author_facet | Liu, Yang Zhao, Erhai Zou, Haiyuan |
| contents | Quantum phase transitions are a fascinating area of condensed matter physics. The extension through complexification not only broadens the scope of this field but also offers a new framework for understanding criticality and its statistical implications. This mini review provides a concise overview of recent developments in complexification, primarily covering finite temperature and equilibrium quantum phase transitions, as well as their connection with dynamical quantum phase transitions and non-Hermitian physics, with a particular focus on the significance of Fisher zeros. Starting from the newly discovered self-similarity phenomenon associated with complex partition functions, we further discuss research on self-similar systems briefly. Finally, we offer a perspective on these aspects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09477 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Complexification to Self-Similarity: New Aspects of Quantum Criticality Liu, Yang Zhao, Erhai Zou, Haiyuan Strongly Correlated Electrons Quantum Gases Statistical Mechanics High Energy Physics - Lattice Quantum Physics Quantum phase transitions are a fascinating area of condensed matter physics. The extension through complexification not only broadens the scope of this field but also offers a new framework for understanding criticality and its statistical implications. This mini review provides a concise overview of recent developments in complexification, primarily covering finite temperature and equilibrium quantum phase transitions, as well as their connection with dynamical quantum phase transitions and non-Hermitian physics, with a particular focus on the significance of Fisher zeros. Starting from the newly discovered self-similarity phenomenon associated with complex partition functions, we further discuss research on self-similar systems briefly. Finally, we offer a perspective on these aspects. |
| title | From Complexification to Self-Similarity: New Aspects of Quantum Criticality |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2501.09477 |