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Critical exponents near the Liouvillian exceptional structure in Rydberg vapors |
| Chuanming Li(李传铭)1, Konghao Sun(孙孔浩)2,†, and Wei Yi(易为)1,3,4,5 |
1 Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
2 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences (CAS), Beijing 100190, China;
3 Anhui Province Key Laboratory of Quantum Network, University of Science and Technology of China, Hefei 230026, China;
4 CAS Center For Excellence in Quantum Information and Quantum Physics, Hefei 230026, China;
5 Anhui Center for Fundamental Sciences in Theoretical Physics, University of Science and Technology of China, Hefei 230026 China |
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Abstract In a dissipative Rydberg vapor, the interplay of many-body effects and non-Hermiticity gives rise to a Liouvillian exceptional structure, where exceptional arcs merge at a higher-order exceptional point of the Liouvillian superoperator. Spectral features of the exceptional structure naturally give rise to critical dynamics, which have interesting implications for experiments. In this work, we study the response of the system to perturbations near the Liouvillian exceptional structure, and evaluate the critical exponents. The results are consistent with those in linear non-Hermitian Hamiltonians, thus confirming the exceptional nature of the structures herein. We also discuss how these exponents can be measured experimentally.
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Received: 09 June 2025
Revised: 24 July 2025
Accepted manuscript online: 14 August 2025
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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05.70.Jk
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(Critical point phenomena)
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42.50.-p
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(Quantum optics)
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05.30.Rt
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(Quantum phase transitions)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12374479). |
Corresponding Authors:
Konghao Sun
E-mail: sunkh@iphy.ac.cn
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Cite this article:
Chuanming Li(李传铭), Konghao Sun(孙孔浩), and Wei Yi(易为) Critical exponents near the Liouvillian exceptional structure in Rydberg vapors 2026 Chin. Phys. B 35 030302
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