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We propose a scheme for recovering quantum states from a single observable, corresponding to a single setup, by adding a known ancilla state, introducing mixing between degrees of freedom, and utilizing structure in the states.
We present, in experiments and simulations, a novel technique facilitating subwavelength resolution in a single-shot fluorescence imaging without capturing multiple frames, thereby enabling video-rate super-resolution imaging within living cells.
We experimentally demonstrate three-dimensional spatiotemporal solitons. A spatially-bright temporally-dark pulse-train beam is trapped spatially, mainly by a slowly responding photorefractive self-focusing nonlinearity while each pulse is trapped by the fast Kerr nonlinearity.
Traditionally, spatial resolution in optical imaging is limited by diffraction. Although sub-wavelength information is absent in the measurements, state-of-the-art fluorescence based localization techniques such as PALM and STORM manage to achieve spatial resolution of tens of nano-meters, but with limited temporal resolution. A more recent technique super-resolution optical fluctuation imaging (SOFI)...
We show that Čerenkov radiation contains new phenomena arising from the quantum nature of charged fermions. The charge's orbital angular momentum and spin couple to the emitted photon, which scatters into preferred angles and polarizations.
We find the Cerenkov radiation emitted from charged particles carrying OAM in a cylindrical waveguide. The spectrum contains sharp resonances correlated to the particle's OAM, offering a novel spectroscopy method for OAM of charged particles.
We present a new imaging technique optimizing the spatio-temporal resolution in fluorescence microscopy. This method achieves short integration time as SOFI, with high spatial resolution comparable to STORM, leading towards super-resolution imaging within living cells.
We find specific wavepackets that overcome analogue gravitational phenomena due to the complex interplay between interference effects and various optical gravitational effects, and demonstrate them in experiments with nonlocal nonlinear interactions.
We present a novel technique to algorithmically enhance the resolution in optical microscopy. To do that, we exploit the characteristic features of biological images to construct a dictionary which enables sparsity-based reconstruction of sub-wavelength features.
We show a novel technique to enhance resolution and SNR in electron microscopes-by shaping the quantum wavefunction of electrons. Our technique overcomes fundamental limits that currently set the resolution and SNR in electron microscopy.
We find the Cherenkov radiation emitted by vortex electrons, and show that a properly designed photonic waveguide can increase the angular momentum of the electrons. We calculate the selection rules in a relativistic quantum formalism.
We demonstrate optical analogues of gravitational effects such as gravitational lensing, tidal forces and gravitational redshift in the Newton-Schrödinger mainframe, by utilizing long-range interactions between solitons and accelerating beams in nonlocal nonlinear media.
We present an algorithmic paradigm for deciphering the 3D structure of a molecule from the far-field intensity of scattered x-ray photons before the molecule disintegrates. Our approach enables surpassing current limits on recoverable information capacity.
We show that shaping the initial wavefunction of a multi-electron system can lead to electron beams displaying shape-preserving propagation in spite of the inherent repulsion among electrons. This idea suggests applications in microscopy and lithography.
By introducing concepts of beam shaping from nonlinear optics into quantum mechanics, we show how interference of electrons wavefunctions can exactly balance the nonlinear self-repulsion of an electron-beam, creating nonspreading shape-preserving propagation in free-space.
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