Statistical distribution of quantum correlation induced by multiple scattering in the disordered medium

Abstract

For the quantum correlations between scattered modes in the disordered media, the previous works focus mainly on the cases where the inputs are non-superposed states, for instance, products of Fock states [Phys. Rev. Letts. 105 (2010) 090501]. A natural question that arises is how the superpositions affect the quantum correlations. Following this trail, the comparison between superpositions and products of Fock states is performed. It is found an interesting phenomenon that for the superposition and the corresponding product of Fock state (non-Gaussian states), their averaged quantum correlations are nearly same, whereas the distributions of their quantum correlations might be different. Therefore, superpositions may affect the distributions of the quantum correlations. In addition, to examine how the Gaussian states affect the quantum correlations, we compare the typical Gaussian states with the non-Gaussian states (superpositions and products of Fock states). It is discovered that the non-Gaussian-state input could result in the quantum correlation that is either positive or negative, depending on the number of the input modes and the number of the photons in each mode, whereas the Gaussian-state input always leads to the non-negative quantum correlation. Besides, it is demonstrated that with the increase of the disorder strength, the mean strength of the quantum correlation increases for multi-mode-state inputs (except for multi-mode-coherent-state inputs). These results may be useful to control and adjust the quantum properties of scattered modes after the quantized lights propagating through the disordered medium.

Selective methanethiol-to-olefins conversion over HSSZ-13 zeolite

“…15 The methylation of olefins by CH 3 SH can take place over zeolite catalysts as well, although it is significantly more difficult than methylation by CH 3 OH. 16 Methylation of aromatics and olefins are important steps in the formation of organocatalytic intermediates in methanol-to-hydrocarbons chemistry. 17 Such computational insights suggest that the conversion of CH 3 SH to hydrocarbons via the HCP mechanism should be possible over zeolite catalysts.…”

Scattering-lens based quantum imaging beyond shot noise

“…Let us first review the process (I). Figure 2 a depicts the propagation of quantized light through a scattering lens 44 – 48 , which comprises randomly distributed small particles for light scattering. To characterize the scattering lens, two primary factors are introduced: the transport mean free path l and the thickness L .…”

“…where Eqs. (45) and (46) build the connection between the input and output beams in the basis of the prolate spheroidal functions. Interestingly, this input-output relation is very similar to the case of a two-port beam splitter.…”

“…Fig. 2(a) depicts the propagation of quantized light through a scattering lens [45][46][47][48][49] , which comprises randomly distributed small particles for light scattering. To characterize the scattering lens, two primary factors are introduced: the transport mean free path l and the thickness L. If l ≪ L, the multiple scattering events would occur and result in a speckle pattern 50 .…”

Excess-noise suppression for a squeezed state propagating through random amplifying media via wave-front shaping

“…To quantitatively characterize the property of a RAM, three kernel factors are introduced: the transport mean free path l, the thickness L, and the amplification length L a [17]. Note that different from the linear media with only two primary parameters (L and l) [43,44,45,46], the RAMs require an extra amplification length L a = √ Dτ a to account the nonlinearity [17], where 1/τ a is the amplification rate and D = cl/3 the diffusion constant (c the velocity of light in the medium).…”