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Quantum transitions, ergodicity, and quantum scars in the coupled top model.
Debabrata Mondal1, Sudip Sinha1, S Sinha1
1Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia-741246, India.
Physical Review. E
|February 23, 2022
Summary
This study analyzes the coupled top (CT) model, revealing new insights into quantum transitions and ergodicity. Researchers identified nonergodic multifractal states and discussed detecting quantum scars using out-of-time-order correlators.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- The coupled top (CT) model exhibits complex phenomena including quantum transitions, ergodicity, and quantum scars.
- Previous work established the CT model's relevance in studying these quantum behaviors.
Purpose of the Study:
- To conduct a detailed analysis of various transitions within the CT model.
- To connect these transitions with the model's collective spin dynamics.
- To identify sources of non-ergodicity beyond quantum scarring.
Main Methods:
- Analysis of collective spin dynamics in the CT model.
- Quantification of eigenstate ergodicity using relative entanglement entropy and multifractal dimensions.
- Probing ergodicity through nonequilibrium dynamics.
Main Results:
- Detailed characterization of different transition types in the CT model.
- Identification of nonergodic multifractal states as a source of deviation from ergodicity.
- Established a link between collective spin dynamics and observed transitions.
Conclusions:
- The study deepens the understanding of quantum transitions and ergodicity in the CT model.
- Nonergodic multifractal states represent a significant finding impacting ergodicity.
- Out-of-time-order correlators offer a viable experimental method for detecting nonergodic behavior and quantum scars.
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