The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong field confinement in both space and time, is a promising avenue towards single-photon nonlinearities in an all-optical platform. However, quantum engineering in such systems requires new numerical tools and physical insights to harness their complicated multimode and nonlinear quantum dynamics. In this work, we use a self-consistent, multimode Gaussian-state model to capture the nonlinear dynamics of broadband quantum fluctuations and correlations, including entanglement. Notably, despite its parametrization by Gaussian states, our model exhibits nonlinear dynamics in both the mean field and the quantum correlations, giving it a marked advantage over conventional linearized treatments of quantum noise, especially for systems exhibiting gain saturation and strong nonlinearities. Numerically, our approach takes the form of a Gaussian split-step Fourier (GSSF) method, naturally generalizing highly efficient SSF methods used in classical ultrafast nonlinear optics; the equations for GSSF evaluate in $O(M^2\log M)$ time for an $M$ -mode system with $O(M^2)$ quantum correlations. To demonstrate the broad applicability of GSSF, we numerically study quantum noise dynamics and multimode entanglement in several ultrafast systems, from canonical soliton propagation in third-order ( $χ^{(3)}$ ) waveguides to saturated $χ^{(2)}$ broadband parametric generation and supercontinuum generation, e.g., as recently demonstrated in thin-film lithium niobate nanophotonics.The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong field confinement in both space and time, is a promising avenue towards single-photon nonlinearities in an all-optical platform. However, quantum engineering in such systems requires new numerical tools and physical insights to harness their complicated multimode and nonlinear quantum dynamics. In this work, we use a self-consistent, multimode Gaussian-state model to capture the nonlinear dynamics of broadband quantum fluctuations and correlations, including entanglement. Notably, despite its parametrization by Gaussian states, our model exhibits nonlinear dynamics in both the mean field and the quantum correlations, giving it a marked advantage over conventional linearized treatments of quantum noise, especially for systems exhibiting gain saturation and strong nonlinearities. Numerically, our approach takes the form of a Gaussian split-step Fourier (GSSF) method, naturally generalizing highly efficient SSF methods used in classical ultrafast nonlinear optics; the equations for GSSF evaluate in $O(M^2\log M)$ time for an $M$-mode system with $O(M^2)$ quantum correlations. To demonstrate the broad applicability of GSSF, we numerically study quantum noise dynamics and multimode entanglement in several ultrafast systems, from canonical soliton propagation in third-order ($χ^{(3)}$) waveguides to saturated $χ^{(2)}$ broadband parametric generation and supercontinuum generation, e.g., as recently demonstrated in thin-film lithium niobate nanophotonics.

arXiv:2307.05464Jul 11, 20235 citations

All-optical control of photon statistics with hybrid quantum plasmonic system

Dongxing Zhao

We propose an all-optical scheme to control the photon statistics using hybrid quantum plasmonic system. With the aid of dressed states, it is shown that the photon correlation of signal field can be continuously modulated from bunching to antibunching under the control of a pump field. Apart from the exact multimode model, we identify the roles of multimode coupling and quantum interference between probability amplitudes, peculiar to the studied system, through a single-mode model and an analytical treatment. Different from the cavity quantum electrodynamics methods, the proposed scheme works well in the bad cavity limit. These findings suggested that this hybrid system provides a feasible nanophotonic platform for active modulation of photon correlation and for future quantum devices.We propose an all-optical scheme to control the photon statistics using hybrid quantum plasmonic system. With the aid of dressed states, it is shown that the photon correlation of signal field can be continuously modulated from bunching to antibunching under the control of a pump field. Apart from the exact multimode model, we identify the roles of multimode coupling and quantum interference between probability amplitudes, peculiar to the studied system, through a single-mode model and an analytical treatment. Different from the cavity quantum electrodynamics methods, the proposed scheme works well in the bad cavity limit. These findings suggested that this hybrid system provides a feasible nanophotonic platform for active modulation of photon correlation and for future quantum devices.

Feb 4, 20180 citations

O(M^2\log M)

time for an

M

-mode system with

O(M^2)

quantum correlations. To demonstrate the broad applicability of GSSF, we numerically study quantum noise dynamics and multimode entanglement in several ultrafast systems, from canonical soliton propagation in third-order (

χ^{(3)}

) waveguides to saturated

χ^{(2)}

broadband parametric generation and supercontinuum generation, e.g., as recently demonstrated in thin-film lithium niobate nanophotonics.