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Diagnosing Quantum Phase Transition Order and Deconfined Criticality via Entanglement Entropy.
Zehui Deng1, Lu Liu2, Wenan Guo1,3,4
1<a href="https://ror.org/04tavf782">Beijing Computational Science Research Center</a>, Beijing 100193, China.
Physical Review Letters
|September 20, 2024
Summary
Researchers studied entanglement entropy in the J-Q_{3} model, finding evidence for emergent SO(5) symmetry at a critical point. This work introduces a new method for detecting such symmetries and weakly first-order phase transitions.
Area of Science:
- Condensed Matter Physics
- Quantum Information Theory
- Statistical Mechanics
Background:
- The J-Q_{3} model exhibits a quantum phase transition between Néel antiferromagnetic and valence-bond-solid states.
- Understanding critical phenomena and emergent symmetries is crucial for characterizing complex quantum systems.
Purpose of the Study:
- To investigate the scaling behavior of Rényi entanglement entropy near the deconfined critical point of the 2D J-Q_{3} model.
- To identify emergent symmetries and the order of the phase transition.
Main Methods:
- Analysis of Rényi entanglement entropy with smooth boundaries.
- Studying the scaling behavior of entanglement entropy to detect logarithmic terms.
- Identifying Goldstone modes to infer underlying symmetries.
Main Results:
- Observed a subleading logarithmic term in entanglement entropy scaling.
- Deduced the presence of four Goldstone modes, indicating emergent SO(5) symmetry.
- Determined the transition to be weakly first-order, breaking to O(4) symmetry.
Conclusions:
- The study supports the conjecture of emergent SO(5) symmetry at the transition.
- A novel method for detecting emergent continuous symmetry and weakly first-order transitions is demonstrated.
- The findings offer an efficient approach for studying challenging phase transitions.
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