What the study found
The study found that the overlapping critical region between classical and quantum Yang-Lee edge singularities can be described by a hybrid scaling mechanism. In this picture, scaling functions from both critical regimes apply at the same time and must satisfy a constraint relation.
Why the authors say this matters
The authors conclude that this provides a concrete realization of quantum-to-classical crossover in a non-Hermitian Yang-Lee edge singularity system. They also say the framework may allow quantum critical information to be extracted from finite-temperature classical measurements.
What the researchers tested
The researchers applied established renormalization group crossover theory to a non-Hermitian Yang-Lee edge singularity system. They used the transverse Ising chain in an imaginary longitudinal field as a model, and examined 0D and 1D quantum and classical Yang-Lee edge singularity phase transitions at zero and finite temperature.
What worked and what didn't
They systematically investigated scaling functions in the critical regions of 0D and 1D quantum Yang-Lee edge singularities and 0D and 1D classical Yang-Lee edge singularities. The results supported the hybrid scaling mechanism in the overlapping critical regions, especially between classical and quantum Yang-Lee edge singularities.
What to keep in mind
The abstract does not describe experimental limitations or failure cases. The reported framework is based on the transverse Ising chain model and the overlapping critical regions studied here.
Key points
- A hybrid scaling mechanism was identified for overlapping classical and quantum Yang-Lee edge singularity regions.
- The mechanism says scaling functions from both critical regimes apply simultaneously and obey a constraint relation.
- The transverse Ising chain in an imaginary longitudinal field was used to test the framework.
- The study examined 0D and 1D quantum transitions at zero temperature and 0D and 1D classical transitions at finite temperature.
- The authors say the framework may help extract quantum critical information from finite-temperature classical measurements.
Disclosure
- Research title:
- Hybrid scaling describes overlapping classical and quantum Yang-Lee behavior
- Authors:
- Yuemei Sun, Wenjing Yu, Xinyu Wang, Liang-Jun Zhai
- Institutions:
- Jiangsu University of Technology, Jiangsu University of Technology, Jiangsu University of Technology, Jiangsu University of Technology
- Publication date:
- 2026-04-20
- OpenAlex record:
- View
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