Overlap of Nonlinear Resonances in Quantum System(量子系における非線形共鳴の重なり)

H. Itabashi

L. E. Reichl, W. A. Lin

Marco Merkli, Haifeng Song

L. E. Reichl

In a simple nonlinear quantum-dynamical system, described by a two-resonance Hamiltonian, we show that the extension of the wave function in Hilbert space, as parameters of the system are varied, is caused by the overlapping of higher-order nonlinear quantum resonances and is therefore associated with the local destruction of quantum numbers which appears to result from this overlap.

Rostislav M. Arkhipov, Mikhail V. Arkhipov, A. V. Pakhomov +2 more

By numerically solving the system of Maxwell–Bloch equations, we have examined theoretically collisions of extremely short single-cycle and unipolar subcycle pulses in a nonlinear resonant medium under conditions that the light interacts coherently with the medium. The dynamics of the electric field of structures of light-induced polarization and inversion difference has been considered in the situation in which pulses are overlapped in the medium. We show that the states of the medium (to the right and to the left of the overlap region of the pulses) may differ. In particular, we show that polarization waves with different characteristics can exist in the regions of the medium that are located on opposite sides of the overlap region of the pulses. These waves travel in different directions and have different spatial frequencies.

Ravyn Malatesta, Jiho Noh, Tomás Santiago‐Cruz +6 more

Two-photon interference between two photon pairs, or biphotons, requires the interfering biphotons to be indistinguishable. Previously, researchers have demonstrated this by coherently pumping two identical but separate nonlinear materials or using multipass interferometric setups. In contrast, we demonstrate two-photon interference of biphotons simultaneously emitted by two overlapping resonances in the same nonlinear source—a nonlinear metasurface.