Nonlinear dynamical Casimir effect at weak nonstationarity
- URL: http://arxiv.org/abs/2108.07747v4
- Date: Fri, 10 Jun 2022 19:58:21 GMT
- Title: Nonlinear dynamical Casimir effect at weak nonstationarity
- Authors: Dmitrii A. Trunin
- Abstract summary: Even small nonlinearities significantly affect particle production in the dynamical Casimir effect at large evolution times.
We derive the effective Hamiltonian and resum leading loop corrections to the particle flux in a massless scalar field theory.
We consider a quantum circuit analog of the dynamical Casimir effect, which is also essentially nonlinear.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show that even small nonlinearities significantly affect particle
production in the dynamical Casimir effect at large evolution times. To that
end, we derive the effective Hamiltonian and resum leading loop corrections to
the particle flux in a massless scalar field theory with time-dependent
Dirichlet boundary conditions and quartic self-interaction. To perform the
resummation, we assume small deviations from the equilibrium and employ a kind
of rotating wave approximation. Besides that, we consider a quantum circuit
analog of the dynamical Casimir effect, which is also essentially nonlinear. In
both cases, loop contributions to the number of created particles are
comparable to the tree-level values.
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