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Published on: September 5, 2019
Intensity-based criterion for determining exceptional point in parity-time (PT) symmetric coupled array of optical
Mahla Bahar1,2, Mojtaba Golshani3, Mostafa Motamedifar4
1Department of interdisciplinary Physics and Technology, Faculty of Science, Shahid Bahonar University of Kerman, Kerman, 7616913439, Iran.
Researchers developed a simple intensity-based method to find the PT symmetry-breaking point in waveguide arrays. This efficient technique accurately identifies critical points in PT-symmetric systems.
Area of Science:
- Quantum physics
- Photonics
- Condensed matter theory
Background:
- Parity-time (PT)-symmetric systems exhibit unique properties related to symmetry breaking.
- Waveguide arrays are crucial platforms for studying light propagation and PT symmetry.
- Identifying the PT symmetry-breaking point is essential for understanding system behavior.
Purpose of the Study:
- To investigate propagation patterns and correlations in PT-symmetric waveguide arrays.
- To develop a novel, intensity-based criterion for determining the exceptional point (PT symmetry-breaking point).
- To provide an efficient alternative to computationally intensive methods like Hamiltonian diagonalization.
Main Methods:
- Simulating light propagation in PT-symmetric waveguide arrays with various quantum states.
- Analyzing propagation patterns and site-to-site correlation functions.
- Developing and validating a new intensity-based criterion for exceptional point detection.
- Comparing the new criterion with results from Hamiltonian eigenvalue computation.
Main Results:
- Observed distinct propagation patterns before and after the PT symmetry-breaking point.
- Successfully developed a straightforward intensity-based criterion to identify the exceptional point.
- Demonstrated excellent agreement between the proposed criterion and traditional eigenvalue methods.
- Showcased the general applicability of the criterion to tight-binding systems.
Conclusions:
- The novel intensity-based criterion offers an efficient and accurate method for identifying the PT symmetry-breaking point.
- This approach simplifies the characterization of PT-symmetric systems.
- The method's general applicability makes it valuable for a broad range of physical systems described by tight-binding models.
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