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Updated: Jun 14, 2026
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Published on: August 2, 2019
Classical analysis of quantum phase transitions in a bilayer model
Mariane Camargos Figueiredo1, Tathiana Moreira Cotta, Giancarlo Queiroz Pellegrino
1Departamento de Engenharia Elétrica, Centro Federal de Educação Tecnológica de Minas Gerais, Belo Horizonte, MG, Brazil.
Summary
Classical analysis of a bilayer system
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Statistical Physics
Background:
- Bilayer systems exhibit complex quantum phenomena.
- Quantum phase transitions are critical points in quantum systems.
- Previous studies proposed a schematic model for bilayer systems.
Purpose of the Study:
- To extend the classical analysis of a proposed schematic model.
- To investigate quantum phase transitions in a bilayer system.
- To validate classical orbit integrations for quantum properties.
Main Methods:
- Extending classical analysis of a schematic model.
- Performing integrations along classical periodic orbits.
- Comparing results with quantum spectrum and exciton number.
Main Results:
- Classical orbit integrations accurately reproduce the quantum spectrum.
- Classical orbit integrations accurately predict the mean exciton number.
- The findings are linked to the boson-fermion quantum phase transition.
Conclusions:
- Classical analysis, through orbit integrations, effectively describes quantum properties in bilayer systems.
- This approach provides an accurate method for studying quantum phase transitions.
- The study validates the connection between classical dynamics and quantum behavior in this system.
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