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Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary
Paula I Villar1, Alejandro Soba2
1Departamento de Física Juan José Giambiagi, FCEyN UBA and IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina.
Physical Review. E
|January 20, 2018
Summary
We developed a new numerical method to calculate particle creation in cavities with moving walls. This approach helps study the dynamical Casimir effect and photon production in various systems.
Area of Science:
- Quantum Field Theory
- Cavity Quantum Electrodynamics
- Computational Physics
Background:
- Particle creation in cavities is driven by time-dependent boundary conditions.
- The dynamical Casimir effect describes particle creation from vacuum fluctuations due to moving mirrors.
- Analytical solutions are often limited, necessitating numerical approaches.
Purpose of the Study:
- To present an alternative numerical method for calculating particle creation in cavities.
- To investigate particle production in vibrating and tuneable resonant superconducting cavities.
- To enable the study of the dynamical Casimir effect in scenarios lacking analytical solutions.
Main Methods:
- Utilizing Dirichlet and Neumann boundary conditions for a rectangular cavity with one moving wall.
- Resolving the equations of modes by comparing the ground state before and after wall movement.
- Applying generalized Robin boundary conditions for superconducting cavities.
Main Results:
- The method successfully reproduces known results for particle production in vibrating cavities.
- Numerical calculations for photon production (TE and TM modes) in 3D cavities are demonstrated.
- Particle creation in tuneable resonant superconducting cavities is computed and compared with analytical predictions.
Conclusions:
- The presented numerical approach offers a versatile tool for studying particle creation phenomena.
- It provides a pathway to investigate the dynamical Casimir effect and related quantum phenomena in diverse cavity systems.
- The method is extendable to three dimensions and applicable to realistic physical scenarios.
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