Dynamical Casimir effect in stochastic systems: Photon harvesting through noise

Abstract

We theoretically investigate the dynamical Casimir effect in a single-mode cavity endowed with a driven offresonant mirror. We explore the dynamics of photon generation as a function of the ratio between the cavity mode and the mirror's driving frequency. Interestingly, we find that this ratio defines a threshold-which we referred to as a metal-insulator phase transition-between an exponential growth and a low photon production. The low photon production is due to Bloch-like oscillations that produce a strong localization of the initial vacuum state, thus preventing higher generation of photons. To break localization of the vacuum state, and enhance the photon generation, we impose a dephasing mechanism, based on dynamic disorder, into the driving frequency of the mirror. Additionally, we explore the effects of finite temperature on the photon production. Concurrently, we propose a classical analogue of the dynamical Casimir effect in engineered photonic lattices, where the propagation of classical light emulates the photon generation from the quantum vacuum of a singlemode tunable cavity.

Fifty Years of the Dynamical Casimir Effect

“…The experiment based on the suggestion [462] was realized recently [465]. A simulation of the DCE in photonic lattices or photonic crystals was suggested in papers [466,467].…”

Dynamical Invariants for Generalized Coherent States via Complex Quantum Hydrodynamics

“…The occurrence of the term h i ∂ ∂x P in (14), a term that in general does not vanish, reflects the non-locality of the theory. In the case of our Gaussian wave packets, this term is proportional to C(t), the quantity that fulfills the complex Riccati equation ( 8) that is equivalent to the Ermakov equation (10), describing the dynamics of the wave packet width and thus of the position uncertainty, which is actually the non-classical non-local effect.…”

“…The invariant is present in several different technological applications [8]: "The extensions from single harmonic oscillators to coupled time dependent harmonic oscillators may be found in ion-laser interactions [9][10][11], quantized fields propagating through dielectric media [12], shortcuts to adiabaticity [13], the Casimir effect [14] to name some". For further details on the historical development of the Ermakov invariant, see [15] and the literature quoted therein.…”

Effect of Environment on the Scattering of Electrons by a Junction of Different Topological Materials

“…[47][48][49][50][51][52] It is well known that there are varieties of methods to solve the reduced dynamics of open quantum systems, [53][54][55][56] such as the engineering of quantum jump operators via digital quantum simulation. [57,58] Moreover, the theory of open systems also leads to countless applications, for example, the dissipative preparation and quantum computation of entangled state, [59][60][61][62][63][64][65] the engineering of the artificial baths, [66][67][68] the characterization and quantification of quantum non-Markovian behavior, [69,70] the quantum teleportation, [71,72] the photon generation, [73][74][75] the engineering of certain physical properties, [76] and the suppression of the errors in quantum computation. [77][78][79][80][81] Recently, Chenu et al [56] proved that the dynamics of open system governed by a master equation can be well simulated by stochastic Hamiltonians.…”