While neutron imaging is a wellestablished technique for investigations of inner structures and processes in materials, complex systems, and devices, the utilization of polarized neutron beams to visualize magnetic phenomena has been introduced only about a decade ago. In contrast to neutron scattering studies, where the interaction of the neutron's magnetic moment with magnetic states of matter has been exploited for a long time, the direct visualization of magnetic fields in neutron imaging is a relatively new field and is still developing. Here, we give an overview of the status and provide approaches to visualizing magnetic fields with polarized neutrons, together with a report on the latest developments in attempting to record neutron tomographies for 3D reconstructions of magnetic vector fields.
Synchronization phenomena occur throughout nature. The van der Pol oscillator has been a paradigmatic model to investigate synchronization. Here we study the oscillator with additional single-photon dissipation in the deep quantum regime (defined to be γ 2 /γ 1 10), and we contrast it with the quantum regime at γ 2 /γ 1 ≈ 1. Our results show that in this regime: (i) the effect of squeezed driving effect on frequency entrainment is strongly suppressed, (ii) single-photon dissipation boosts synchronization, (iii) synchronization is bounded, and (iv) the limit-cycle is robust and insensitive to strong driving. We use these physical properties to define the crossover to the deep quantum regime. We also propose a synchronization measure based on directional statistics which is analytically calculated. These results reflect the intrinsic physical differences between synchronization in the quantum and deep quantum regimes.
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