Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions
We present an alternative numerical approach to compute the number of particles created inside a cavity due to time-dependent boundary conditions. The physical model consists of a rectangular cavity, where a wall always remains still while the other wall of the cavity presents a smooth movement in o...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_24700045_v96_n1_p_Villar |
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todo:paper_24700045_v96_n1_p_Villar2023-10-03T16:42:20Z Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions Villar, P.I. Soba, A. Cavity resonators Dynamic mechanical analysis Electromagnetic fields Quantum theory Different boundary condition Dynamical Casimir effect Robin boundary conditions Superconducting cavities Three dimensional cavity Time-dependent boundary conditions Transverse electric modes Transverse magnetic modes Boundary conditions We present an alternative numerical approach to compute the number of particles created inside a cavity due to time-dependent boundary conditions. The physical model consists of a rectangular cavity, where a wall always remains still while the other wall of the cavity presents a smooth movement in one direction. The method relies on the setting of the boundary conditions (Dirichlet and Neumann) and the following resolution of the corresponding equations of modes. By a further comparison between the ground state before and after the movement of the cavity wall, we finally compute the number of particles created. To demonstrate the method, we investigate the creation of particle production in vibrating cavities, confirming previously known results in the appropriate limits. Within this approach, the dynamical Casimir effect can be investigated, making it possible to study a variety of scenarios where no analytical results are known. Of special interest is, of course, the realistic case of the electromagnetic field in a three-dimensional cavity, with transverse electric (TE)-mode and transverse magnetic (TM)-mode photon production. Furthermore, with our approach we are able to calculate numerically the particle creation in a tuneable resonant superconducting cavity by the use of the generalized Robin boundary condition. We compare the numerical results with analytical predictions as well as a different numerical approach. Its extension to three dimensions is also straightforward. © 2017 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24700045_v96_n1_p_Villar |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Cavity resonators Dynamic mechanical analysis Electromagnetic fields Quantum theory Different boundary condition Dynamical Casimir effect Robin boundary conditions Superconducting cavities Three dimensional cavity Time-dependent boundary conditions Transverse electric modes Transverse magnetic modes Boundary conditions |
| spellingShingle |
Cavity resonators Dynamic mechanical analysis Electromagnetic fields Quantum theory Different boundary condition Dynamical Casimir effect Robin boundary conditions Superconducting cavities Three dimensional cavity Time-dependent boundary conditions Transverse electric modes Transverse magnetic modes Boundary conditions Villar, P.I. Soba, A. Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions |
| topic_facet |
Cavity resonators Dynamic mechanical analysis Electromagnetic fields Quantum theory Different boundary condition Dynamical Casimir effect Robin boundary conditions Superconducting cavities Three dimensional cavity Time-dependent boundary conditions Transverse electric modes Transverse magnetic modes Boundary conditions |
| description |
We present an alternative numerical approach to compute the number of particles created inside a cavity due to time-dependent boundary conditions. The physical model consists of a rectangular cavity, where a wall always remains still while the other wall of the cavity presents a smooth movement in one direction. The method relies on the setting of the boundary conditions (Dirichlet and Neumann) and the following resolution of the corresponding equations of modes. By a further comparison between the ground state before and after the movement of the cavity wall, we finally compute the number of particles created. To demonstrate the method, we investigate the creation of particle production in vibrating cavities, confirming previously known results in the appropriate limits. Within this approach, the dynamical Casimir effect can be investigated, making it possible to study a variety of scenarios where no analytical results are known. Of special interest is, of course, the realistic case of the electromagnetic field in a three-dimensional cavity, with transverse electric (TE)-mode and transverse magnetic (TM)-mode photon production. Furthermore, with our approach we are able to calculate numerically the particle creation in a tuneable resonant superconducting cavity by the use of the generalized Robin boundary condition. We compare the numerical results with analytical predictions as well as a different numerical approach. Its extension to three dimensions is also straightforward. © 2017 American Physical Society. |
| format |
JOUR |
| author |
Villar, P.I. Soba, A. |
| author_facet |
Villar, P.I. Soba, A. |
| author_sort |
Villar, P.I. |
| title |
Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions |
| title_short |
Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions |
| title_full |
Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions |
| title_fullStr |
Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions |
| title_full_unstemmed |
Adaptive numerical algorithms to simulate the dynamical Casimir effect in a closed cavity with different boundary conditions |
| title_sort |
adaptive numerical algorithms to simulate the dynamical casimir effect in a closed cavity with different boundary conditions |
| url |
http://hdl.handle.net/20.500.12110/paper_24700045_v96_n1_p_Villar |
| work_keys_str_mv |
AT villarpi adaptivenumericalalgorithmstosimulatethedynamicalcasimireffectinaclosedcavitywithdifferentboundaryconditions AT sobaa adaptivenumericalalgorithmstosimulatethedynamicalcasimireffectinaclosedcavitywithdifferentboundaryconditions |
| _version_ |
1807320993215021056 |