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xplore quasi-normal patterns in the quantum world and uncover their mysterious role in energy decay
Quasinormal Modes (QNM) are modes that describe energy dissipation in a perturbed object or field. These modes exhibit perturbations that decay over time. These patterns provide a deeper understanding of how a system evolves over time and interacts with singularities.
An example that everyone can understand is that when a wine glass is tapped lightly with a knife, the wine glass starts to make a sound and ring out in a set or superposition pattern of its natural frequencies. This is called speech, and its amplitude will Decays with time, so we call it quasi-normal mode. If a wine glass could make sounds forever, we could call it normal mode.
Quasi-normal patterns in the microscopic world based on gravity theory reveal how objects respond in specific ways after being perturbed, enhancing our understanding of these complex phenomena.
In some cases, the amplitude of a wave decays rapidly. To observe the decay effect over a longer period of time, a specific visual image can be used to represent it, such as a logarithmic display of the decay of amplitude. However, such mathematical expressions often confuse many people, so we can focus on the conceptual meaning rather than the mathematical details.
The study of quasi-normal modes is particularly important in theoretical physics because they are often solutions to linear differential equations, especially when describing perturbations of black holes. The quasi-normal mode of a black hole, also known as the ringing mode, describes how a black hole gradually reduces its asymmetry and tends to a perfectly spherical shape over time.
The existence and evolution of these patterns not only allows us to reassess the physical properties of black holes, but also expands our insights into the structure of the universe.
In electromagnetics and photonics, there are two main types of resonant cavities. One is to use lossless dielectrics materials to achieve high Q-factor optical microcavities, which are theoretically limited to the diffraction limit. Well-known examples include micropillar cavities, microring resonators, and photonic crystal cavities.
The other type is often resonant cavities with characteristic dimensions below the diffraction limit. These small systems store energy for a short period of time. In this category, plasmonic nanoantennas that support the quasi-normal mode of localized surface plasmons exhibit energy radiation rather than energy storage behavior. It is of great value to further explore the impact of these phenomena on physics.
The quasi-normal modes of electromagnetic microcavities and nanoresonators play a crucial role in understanding the interaction between light and matter.
In biophysics, quasi-normal modes can also be obtained by diagonalizing the time correlation matrix of atomic fluctuations. This is necessary for understanding the physical behavior of complex biological systems. The study of these modes helps us Understand key mechanisms in cell structure and function.
The application scope of quasi-normal modes covers many fields such as physics, optics and biophysics, revealing their multiple roles in the evolution of matter and fields. This not only advances our understanding of these physical phenomena, but also triggers thinking about how to explore deeper structures of the universe through these patterns.
How can the energy decay process reflected by these quasi-normal patterns stimulate our curiosity about the operation of the universe and its inner logic?
