Dressing‐Controlled Quantum Steering in Energy‐Level Cascaded Parametric Amplified Four‐Wave Mixing Processes

Abstract

Einstein–Podolsky–Rosen (EPR) steering for multipartite systems plays an important role in several quantum technologies and applications, e.g., quantum communication and quantum metrology. In this study, an energy‐level cascaded four‐wave mixing (EC‐FWM) process modulated by the dressing effect is proposed to generate three‐ and four‐mode EPR steering in the atomic medium of rubidium. The energy‐level simultaneously cascaded FWM and the energy‐level ordinally cascaded FWM are compared in three‐mode EPR steering, and monogamy relations for Gaussian steerability are also verified. Furthermore, multipartite EPR steerability is controlled by actively adjusting the dressing field. Different types of EPR steerability exhibit different modulation results when the dressing conditions of enhancement and suppression are satisfied. The proposed scheme exhibits advantages such as scalability, flexibility, and simplified experimental setup and can construct controllable large‐scale quantum networks.

Minimal Products of Coordinate and Momentum Uncertainties of High Orders: Significant and Weak High-Order Squeezing

“…It would be interesting to verify the new relations in experiments, for example, using the scheme of measuring high-order moments of canonical variables proposed in [ 87 ] (some experiments related to uncertainty relations for the second-order moments were performed in [ 88 ]; experimental verifications of the uncertainty relations for the angular momentum operator and other quantum systems in finite-dimensional Hilbert spaces were reported in [ 89 , 90 , 91 , 92 , 93 , 94 ]). Other interesting areas, where high-order uncertainty relations can be useful, include entanglement, steerability, and Bell nonlocality (see, e.g., studies [ 95 , 96 , 97 ]). However, all of these problems need separate investigations.…”

Spectral control of quantum correlations in Four wave mixing using dressing fields

“…Unlike ref. [18] in which the steering of cascade dressed PA-4WM is studied, this approach of independent sidebands, which transforms a bipartite system into a four mode system, and the effect of the dressing field on their quantum correlations, is compact and avoids extensive and complex schemes that require technical synchronization. Now, looking to the Duan criterion the same control is preserved.…”

Enhancement of Steady Quantum Entanglement and Directional Controllability of Quantum Steering in Cavity Magnetic Hybrid Systems

“…Recently, some proposals using dressing effect to enhance correlation and squeezing are suggested. [47][48][49] Stimulated by these protocols, we put forward a scheme combining a two-photon driving field acting on one magnon and a JPA field focused on the cavity to increase QE's and QS's degrees, where the two-photon driving field acting on the magnon can be realized by means of a microstrip resonator attached to the YIG sample [50][51][52] and the cavity mode is driven by a weak squeezed vacuum field with driving frequency 𝜔 s generated by a flux-driven Josephson parametric amplifier (JPA) [53][54][55][56][57] with a pump field at frequency 2𝜔 s and vacuum fluctuations at the signal input port. It is noted that although the addition of two-photon driving complicates experimental setups, the requirement of squeezing via JPA is reduced.…”