Schmidt modes in the angular spectrum of bright squeezed vacuum

Abstract

We study the spatial properties of high-gain parametric down-conversion (PDC). From the Hamiltonian we find the Schmidt modes, apply the Bloch-Messiah reduction, and calculate analytically the measurable quantities, such as the angular distributions of photon numbers and photon-number correlations. Our approach shows that the Schmidt modes of PDC radiation can be considered the same as for the low-gain (biphoton) case while the Schmidt eigenvalues strongly depend on the parametric gain. Its validity is confirmed by comparison with several experimental results, obtained by us and by other groups.

arXiv comment5 pages, 4 figures

References in corpus (22)

• Experimental realization of sub-shot-noise quantum imaging
• Squeezing as an irreducible resource
• Analysis and interpretation of high transverse entanglement in optical parametric down conversion
• Experimental realisation of quantum illumination
• A Quantum Pulse Gate based on Spectrally Engineered Sum Frequency Generation
• Pulsed squeezed light: simultaneous squeezing of multiple modes
• Simultaneous near-field and far field spatial quantum correlations in spontaneous parametric down-conversion
• Theory of quantum frequency conversion and type-II parametric down-conversion in the high-gain regime
• Theory of Two-Photon Interactions with Broadband Down-Converted Light and Entangled Photons
• Two-Color Bright Squeezed Vacuum
• Packet narrowing and quantum entanglement in photoionization and photodissociation
• High-sensitivity imaging with multi-mode twin beams
• Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversion
• Preparing a mechanical oscillator in non-Gaussian quantum states
• Polarization-Entangled Light Pulses of 10^5 Photons
• Spatially single-mode source of bright squeezed vacuum
• Detection of multimode spatial correlation in PDC and application to the absolute calibration of a CCD camera
• Schmidt modes generated in parametric downconversion
• Coherence properties of high-gain twin beams generated in pump-depletion regime
• Systematic study of the PDC speckle structure for quantum imaging applications
• Effects of anisotropy in a nonlinear crystal for squeezed vacuum generation
• Compensation of anisotropy effects in the generation of two-photon light

Cited by in corpus (51)

• Modes and states in Quantum Optics
• Single-Mode Parametric-Down-Conversion States with 50 Photons as a Source for Mesoscopic Quantum Optics
• Photon number correlation for quantum enhanced imaging and sensing
• Raman-free, noble-gas-filled PCF source for ultrafast, very bright twin-beam squeezed vacuum
• Spatially single-mode source of bright squeezed vacuum
• Improving the phase super-sensitivity of squeezing-assisted interferometers by squeeze factor unbalancing
• Properties of bright squeezed vacuum at increasing brightness
• Wide-field SU(1,1) interferometer
• Engineering the Frequency Spectrum of Bright Squeezed Vacuum via Group Velocity Dispersion in an SU(1,1) Interferometer
• Phase sensitivity of gain-unbalanced nonlinear interferometers
• A classical model of spontaneous parametric down-conversion
• Bright squeezed vacuum in a nonlinear interferometer: frequency/temporal Schmidt-mode description
• Wigner Function Tomography via Optical Parametric Amplification
• Shaping frequency correlations of ultrafast pulse-pumped modulational instability in gas-filled hollow-core PCF
• Giant Narrowband Twin-Beam Generation along the Pump Energy Propagation
• Spectrally multimode integrated SU(1,1) interferometer
• Spatial, spectral and temporal coherence of ultra-intense twin beams
• Orbital angular momentum modes of high-gain parametric down-conversion
• Characterizing mixed state entanglement through single-photon interference
• Frequency-domain engineering of bright squeezed vacuum for continuous-variable quantum information
• Nonlinear interferometer for tailoring the frequency spectrum of bright squeezed vacuum
• Coherent light in intense spatio-spectral twin beams
• Phase sensitivity of spatially broadband high-gain SU(1,1) interferometers
• Reconstructing 2D spatial modes for classical and quantum light
• Study of broadband multimode light via non-phase-matched sum frequency generation
• Experimental reconstruction of spatial Schmidt modes for a wide-field SU(1,1) interferometer
• Theory of Multimode Squeezed Light Generation in Lossy Media
• Single-qubit measurement of two-qubit entanglement in generalized Werner states
• Producing delocalized frequency-time Schrödinger cat-like states with HOM interferometry
• Quantifying entanglement of parametric down-converted states in all degrees of freedom
• Parametric down-conversion beyond the semi-classical approximation
• Non-perturbative theory of spontaneous parametric down-conversion in open and dispersive optical systems
• Gain-induced group delay in spontaneous parametric down-conversion
• Projective filtering of a single spatial radiation eigenmode
• Quantized Nonlinear Gaussian-Beam Dynamics $-$ Tailoring Multimode Squeezed-Light Generation
• Discorrelated quantum states
• Tunable optical parametric generator based on the pump spatial walk-off
• Spectral and statistical properties of high-gain parametric down-conversion
• Coherence area profiling in multi-spatial-mode squeezed states
• Nonlinear interferometry in all spatiotemporal degrees of freedom
• Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre-Gaussian beams
• Multimode optical parametric amplification in the phase-sensitive regime
• Nonlinear squeezing generation via multimode PDC and single photon measurement
• Managing spectral properties and Schmidt mode content of squeezed vacuum light using sum-frequency converter
• Multiphoton, multimode state classification for nonlinear optical circuits
• Reconstructing the full modal structure of photonic states by stimulated emission tomography
• Mode Structure of a Broadband High Gain Parametric Amplifier
• Waves in intensity coherence of evolving intense twin beams
• Bipartite entanglement extracted from multimode squeezed light generated in lossy waveguides
• Bright correlated twin-beam generation and radiation shaping in high-gain parametric down-conversion with anisotropy
• Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers