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How "Berry Phase" Analysis of Non-Adiabatic Non-Hermitian Systems Reflects Their Geometry.
1Ion Beam Centre, University of Surrey, Guildford GU2 7XH, UK.
Entropy (Basel, Switzerland)
|February 25, 2023
Summary
Non-Hermitian Hamiltonians describe dissipative systems with unique behaviors. This review highlights their geometrical thermodynamics and the role of exceptional points in system dynamics.
Area of Science:
- Physics
- Quantum Mechanics
- Thermodynamics
Background:
- Growing interest in non-Hermitian Hamiltonians for modeling real-world dissipative systems.
- Exceptional points as critical singularities influencing system behavior.
Purpose of the Study:
- Review systems described by non-Hermitian Hamiltonians.
- Emphasize their geometrical and thermodynamic properties.
- Explore the role of a 'phase' parameter in characterizing system dynamics.
Main Methods:
- Literature review of non-Hermitian systems.
- Analysis of phase parameter and exceptional points.
- Focus on geometrical thermodynamics.
Main Results:
- Non-Hermitian systems exhibit unique behaviors driven by exceptional points.
- A phase parameter is crucial for characterizing these systems.
- Geometrical thermodynamics offers insights into system properties.
Conclusions:
- Non-Hermitian Hamiltonians are essential for understanding dissipative systems.
- Exceptional points and phase parameters are key features.
- Geometrical thermodynamics provides a valuable framework for analysis.
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