2019
DOI: 10.1103/physreva.99.022504
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Effect of forcing on vacuum radiation

Abstract: Vacuum radiation has been the subject of theoretical study in both cosmology and condensed matter physics for many decades. Recently there has been impressive progress in experimental realizations as well. Here we study vacuum radiation when a field mode is driven both parametrically and by a classical source. We find that in the Heisenberg picture the field operators of the mode undergo a Bogolyubov transformation combined with a displacement; in the Schrödinger picture the oscillator evolves from the vacuum … Show more

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Cited by 3 publications
(5 citation statements)
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References 31 publications
(43 reference statements)
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“…Algebraic methods of solving the Schrödinger equation with Hamiltonian (53) were used in [278]. Recently, the harmonic oscillator model was re-discovered and applied to the circuit QED in [279].…”
Section: Parametric Oscillator Modelmentioning
confidence: 99%
“…Algebraic methods of solving the Schrödinger equation with Hamiltonian (53) were used in [278]. Recently, the harmonic oscillator model was re-discovered and applied to the circuit QED in [279].…”
Section: Parametric Oscillator Modelmentioning
confidence: 99%
“…The quantum simple harmonic oscillator (qSHO) with a time-dependent frequency has been solved in terms of a two-dimensional classical SHO (cSHO) in early work [8][9][10] and more recently [11]. In Ref.…”
mentioning
confidence: 99%
“…( 15), the last line of which is responsible for the time-nonlocal integral in Eq. (28). Instead this would act similarly to a driving force.…”
Section: Frequency Mixing Of Vacuum Radiationmentioning
confidence: 98%
“…It is worth pointing out that had we instead chosen to temporally modulate the light-matter coupling strengths g i instead of the oscillator frequencies Ω i , it is easy to see that we would not get modifications to the oscillator propagator seen in equation (15), the last line of which is responsible for the time-nonlocal integral in equation (28). Instead this would act similarly to a driving force.…”
Section: Frequency Mixing Of Vacuum Radiationmentioning
confidence: 99%
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