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Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models
Angel Ricardo Plastino1, Diana Monteoliva2, Angelo Plastino3
1CeBio-Departamento de Ciencias Básicas, Universidad Nacional del Noroeste de la Prov. de Buenos Aires, CONICET, Junin 1988, Argentina.
Entropy (Basel, Switzerland)
|November 27, 2021
Summary
Information-based complexity measures reveal that systems with fewer fermions exhibit higher complexity than those with many. Complexity also increases as coupling-constant strengths decrease, highlighting the importance of low-lying energy states.
Area of Science:
- Quantum physics
- Many-body systems
- Information theory
Background:
- Finite quantum many-fermion systems are fundamental to molecular, atomic, and nuclear physics.
- Information and complexity measures offer new insights into the structure and behavior of these systems.
Purpose of the Study:
- Explore information-based complexity indicators in exactly soluble Lipkin models.
- Compare structural details of different fermion systems using information theoretic tools.
Main Methods:
- Utilized exactly soluble many-fermion models of the Lipkin kind.
- Applied information measures and complexity indicators.
- Analyzed the behavior of the two lowest lying energy states.
Main Results:
- Fewer fermion systems demonstrate a higher degree of complexity than many-fermion systems.
- Complexity increases as coupling-constant strengths decrease, without reaching zero.
- The two lowest energy states significantly influence system complexity.
Conclusions:
- Information-theoretic tools effectively differentiate and analyze fermion systems.
- Lipkin models provide valuable insights into quantum many-body physics, analogous to the Hubbard model.
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