Dynamical Casimir effect in superconducting circuits: A numerical approach
We present a numerical analysis of the particle creation for a quantum field in the presence of time-dependent boundary conditions. Having in mind recent experiments involving superconducting circuits, we consider their description in terms of a scalar field in a one-dimensional cavity satisfying ge...
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paper:paper_24699926_v93_n3_p_Lombardo2023-06-08T16:36:00Z Dynamical Casimir effect in superconducting circuits: A numerical approach Lombardo, Fernando César Mazzitelli, Francisco Diego Soba, Alejandro Villar, Paula Inés Reconfigurable hardware Dynamical Casimir effect Generalized boundary conditions Numerical approaches One-dimensional cavities Particle production Superconducting circuit Temporal oscillations Time-dependent boundary conditions Boundary conditions We present a numerical analysis of the particle creation for a quantum field in the presence of time-dependent boundary conditions. Having in mind recent experiments involving superconducting circuits, we consider their description in terms of a scalar field in a one-dimensional cavity satisfying generalized boundary conditions that involve a time-dependent linear combination of the field and its spatial and time derivatives. We evaluate numerically the Bogoliubov transformation between in- and out-states and find that the rate of particle production strongly depends on whether the spectrum of the unperturbed cavity is equidistant or not, and also on the amplitude of the temporal oscillations of the boundary conditions. We provide analytic justifications for the different regimes found numerically. © 2016 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Soba, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Villar, P.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v93_n3_p_Lombardo http://hdl.handle.net/20.500.12110/paper_24699926_v93_n3_p_Lombardo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Reconfigurable hardware Dynamical Casimir effect Generalized boundary conditions Numerical approaches One-dimensional cavities Particle production Superconducting circuit Temporal oscillations Time-dependent boundary conditions Boundary conditions |
| spellingShingle |
Reconfigurable hardware Dynamical Casimir effect Generalized boundary conditions Numerical approaches One-dimensional cavities Particle production Superconducting circuit Temporal oscillations Time-dependent boundary conditions Boundary conditions Lombardo, Fernando César Mazzitelli, Francisco Diego Soba, Alejandro Villar, Paula Inés Dynamical Casimir effect in superconducting circuits: A numerical approach |
| topic_facet |
Reconfigurable hardware Dynamical Casimir effect Generalized boundary conditions Numerical approaches One-dimensional cavities Particle production Superconducting circuit Temporal oscillations Time-dependent boundary conditions Boundary conditions |
| description |
We present a numerical analysis of the particle creation for a quantum field in the presence of time-dependent boundary conditions. Having in mind recent experiments involving superconducting circuits, we consider their description in terms of a scalar field in a one-dimensional cavity satisfying generalized boundary conditions that involve a time-dependent linear combination of the field and its spatial and time derivatives. We evaluate numerically the Bogoliubov transformation between in- and out-states and find that the rate of particle production strongly depends on whether the spectrum of the unperturbed cavity is equidistant or not, and also on the amplitude of the temporal oscillations of the boundary conditions. We provide analytic justifications for the different regimes found numerically. © 2016 American Physical Society. |
| author |
Lombardo, Fernando César Mazzitelli, Francisco Diego Soba, Alejandro Villar, Paula Inés |
| author_facet |
Lombardo, Fernando César Mazzitelli, Francisco Diego Soba, Alejandro Villar, Paula Inés |
| author_sort |
Lombardo, Fernando César |
| title |
Dynamical Casimir effect in superconducting circuits: A numerical approach |
| title_short |
Dynamical Casimir effect in superconducting circuits: A numerical approach |
| title_full |
Dynamical Casimir effect in superconducting circuits: A numerical approach |
| title_fullStr |
Dynamical Casimir effect in superconducting circuits: A numerical approach |
| title_full_unstemmed |
Dynamical Casimir effect in superconducting circuits: A numerical approach |
| title_sort |
dynamical casimir effect in superconducting circuits: a numerical approach |
| publishDate |
2016 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v93_n3_p_Lombardo http://hdl.handle.net/20.500.12110/paper_24699926_v93_n3_p_Lombardo |
| work_keys_str_mv |
AT lombardofernandocesar dynamicalcasimireffectinsuperconductingcircuitsanumericalapproach AT mazzitellifranciscodiego dynamicalcasimireffectinsuperconductingcircuitsanumericalapproach AT sobaalejandro dynamicalcasimireffectinsuperconductingcircuitsanumericalapproach AT villarpaulaines dynamicalcasimireffectinsuperconductingcircuitsanumericalapproach |
| _version_ |
1768544978954354688 |