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Updated: May 11, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Gaussian fluctuations of nonreciprocal systems
Sergei Shmakov1, Glasha Osipycheva1, Peter B Littlewood2
1University of Chicago, James Franck Institute and Department of Physics, The , Chicago, Illinois 60637, USA.
Linear nonreciprocal systems, which defy Newton's third law, are explored. Nonreciprocity can enhance system stability, leading to unique phenomena like exceptional points and finite-momentum instabilities, and can generate 1/f noise.
Area of Science:
- Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- Nonreciprocal systems, defying Newton's third law, are crucial for understanding nonequilibrium and active matter.
- Linearizing nonlinear models is key to analyzing complex systems, analogous to Gaussian systems in equilibrium statistical mechanics.
Purpose of the Study:
- To explore the simplest linear nonreciprocal models incorporating noise and spatial extent.
- To understand the stability regions and effects of nonreciprocity in these systems.
Main Methods:
- Analysis of linear nonreciprocal models with noise and spatial dimensions.
- Investigation of stability criteria and phase transitions.
Main Results:
- Nonreciprocity can enhance system stability.
- Demonstration of exceptional and critical exceptional points, with enhanced fluctuations at the latter.
- Identification of finite-momentum instability arising from strong nonreciprocity.
- Nonreciprocity as a source of colored, 1/f type noise.
Conclusions:
- Linear nonreciprocal systems exhibit unique stability properties and phenomena.
- Nonreciprocity offers new insights into nonequilibrium physics and noise generation.
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