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Anyonic-parity-time symmetry in complex-coupled lasers
Geva Arwas1, Sagie Gadasi1, Igor Gershenzon1
1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel.
Science Advances
|June 1, 2022
Summary
We explore novel anyonic-PT symmetries in non-Hermitian Hamiltonians, demonstrating their experimental realization in coupled lasers. This work reveals a new link between laser synchronization and Hamiltonian symmetry.
Area of Science:
- Non-Hermitian physics
- Quantum mechanics
- Optics and acoustics
Background:
- Non-Hermitian Hamiltonians are crucial in various physics fields.
- Parity-time (PT) and anti-PT symmetries are key examples of these Hamiltonians.
- Anyonic-PT symmetry generalizes PT and anti-PT symmetries through a specific commutation relation.
Purpose of the Study:
- To theoretically investigate and experimentally demonstrate anyonic-PT symmetries.
- To explore complex coupling with mixed dispersive and dissipative properties.
- To establish a connection between laser synchronization and non-Hermitian Hamiltonian symmetry.
Main Methods:
- Theoretical analysis of anyonic-PT symmetries.
- Experimental implementation in coupled laser systems.
- Utilizing complex coupling with tailored dispersive and dissipative characteristics.
Main Results:
- Demonstration of anyonic-PT symmetries in coupled lasers.
- Precise control over symmetry and symmetry breaking points via coupling.
- Realization of special PT and anti-PT symmetries by tuning the coupling.
- Experimental validation of a novel relation between laser synchronization and Hamiltonian symmetry.
Conclusions:
- Anyonic-PT symmetries offer a generalized framework for non-Hermitian systems.
- Coupled lasers provide a versatile platform for studying these symmetries.
- The discovered synchronization-symmetry relation offers new insights into complex systems.
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