Homodyne measurement is a corner-stone method of quantum optics that measures the quadratures light-the optical analog canonical position and momentum. Standard homodyne, however, suffers from severe bandwidth limitation: while states can span many THz, standard homodyne inherently limited to electronically accessible MHz-to-GHz range, leaving dramatic gap between relevant phenomena capability. We demonstrate fully parallel across an arbitrary bandwidth, effectively lifting this limitation...

Coupled parametric oscillators were recently employed as simulators of artificial Ising networks, with the potential to solve computationally hard minimization problems. We demonstrate a new dynamical regime within simplest network---two coupled oscillators, where never reach steady state, but show persistent, full-scale, coherent beats, whose frequency reflects coupling properties and strength. present detailed theoretical experimental study that this appears over wide range parameters near...

Abstract The sensitivity of classical Raman spectroscopy methods, such as coherent anti-stokes (CARS) or stimulated (SRS), is ultimately limited by shot-noise from the stimulating fields. We present complete theoretical analysis a squeezing-enhanced version that overcomes limit with enhancement signal and inherent background suppression, while remaining fully compatible standard methods. By incorporating sample between two phase-sensitive parametric amplifiers squeeze light along orthogonal...

We study large networks of parametric oscillators as heuristic solvers random Ising models. In these networks, known coherent machines, the model to be solved is encoded in coupling between oscillators, and a solution offered by steady state network. This approach relies on assumption that mode competition steers network ground-state model. By considering broad family frustrated models, we show most-efficient does not correspond generically ground infer close threshold are intrinsically...

Periodically driven parametric oscillators offer a convenient way to simulate classical Ising spins. When many are coupled dissipatively, they can be analogous networks of spins, forming an effective coherent machine (CIM) that efficiently solves computationally hard optimization problems. In the companion paper, we studied experimentally minimal realization CIM, i.e. two [L. Bello, M. Calvanese Strinati, E. G. Dalla Torre, and A. Pe'er, Phys. Rev. Lett. 123, 083901 (2019)]. We found...

The expressive capacity of physical systems employed for learning is limited by the unavoidable presence noise in their extracted outputs. Though present across both classical and quantum regimes, precise impact on remains poorly understood. Focusing supervised learning, we a mathematical framework evaluating resolvable (REC) general under finite sampling noise, provide methodology extracting its extrema, eigentasks. Eigentasks are native set functions that given system can approximate with...

Abstract We explore the coherent dynamics in a small network of three coupled parametric oscillators and demonstrate effect frustration on persistent beating between them. Since single-mode oscillator represents an analogue classical Ising spin, networks are considered as simulators spin models, aiming to efficiently calculate ground state network—a computationally hard problem. However, can be considerably richer than that spins, depending nature coupling them (energy preserving or...

We analyze theoretically and experimentally cases of asymmetric detection, stimulation, loss within a quantum nonlinear interferometer entangled pairs. show that the visibility SU(1,1) interference directly discerns between on measured mode (signal) conjugated (idler). This asymmetry also affects phase sensitivity interferometer, where coherent seeding is shown to mitigate losses are suffered by mode; therefore increasing maximum threshold permits sub-shot-noise detection. Our findings can...

Complementarity between one-particle visibility and two-particle in discrete systems can be extended to bipartite quantum-entangled Gaussian states implemented with continuous-variable quantum optics. The meaning of the originally defined by Jaeger, Horne, Shimony, Vaidman use an indirect method that first corrects probability distribution adding subtracting other distributions varying degree entanglement, however, deserves further analysis. Furthermore, origin complementarity is somewhat...

In their seminal paper, Caves and Schumaker presented a new formalism for quantum optics, intended to serve as building block describing two-photon processes, in terms of new, generalized qudratures. The important, revolutionary concept was that it fundamentally two-mode, i.e. the related observables could not be attributed any single one comprising modes, but rather complex quadrature only both them. Here, we propose subtle, meaningful modification important work. Unlike above proposal,...

Broad area laser diodes are attractive for the high optical power they can produce. Unfortunately, this normally comes at cost of severely reduced spatial coherence since wide diode wave-guide is inherently spatially multi-mode along slow axis. We demonstrate a method to significantly improve high-power broad-area by placing it in an external cavity that mode selective. design cavity, such aperture acts as its own filter, obviating need intra-cavity slit-filter, and optimally utilizing...

Passive mode-locking critically relies on a saturable loss mechanism to form ultrashort pulses. However, in Kerr-lens (KLM), no actual absorption takes place, but rather losses appear due diffraction, and light must escape the cavity. The effect works generate through diffraction an effective instantaneous absorber that delicately depends interplay between spatial temporal profiles of pulse. Despite importance KLM as technique for generating ultrafast pulses fundamental role its operation,...

Fidelity requirements on quantum devices necessitate faster and stronger drives, pushing into regimes where the rotating-wave approximation (RWA) is no longer adequate. In those regimes, high-frequency processes generated by counter-rotating terms can significantly modify long-term dynamics of a system. Exploring these difficult even numerically, since system exhibiting disparate time-scales are often stiff unstable. this work, we present systematic time-coarse graining (STCG) framework that...

Network segmentation, also known as the Division Problem, is one of most effective techniques for computer network performance management. It has been dealt with in recent years by several researchers who have formalised problem mathematical terms. The solutions currently available literature are based on minimisation certain functionals, called fitness functions which, however, consider a limited number parameters, thus privileging only target to detriment others. This paper introduces new...

Homodyne measurement is a corner-stone of quantum optics. It measures the fundamental variables electrodynamics - quadratures light, which represent cosine-wave and sine-wave components an optical field constitute analog position momentum. Yet, standard homodyne, used to measure quadrature information, suffers from severe bandwidth limitation: While states can easily span many THz, homodyne detection inherently limited electrically accessible, MHz GHz range, leaving dramatic gap between...

Kerr-lens mode-locking (KLM) is the work-horse mechanism for generation of ultrashort pulses, where a non-linear lens forms an effective ultrafast saturable absorber within laser cavity. According to standard theory, pulse in cavity soliton, with temporal profile and power determined by non-linearity exactly counteract diffraction dispersion, resulting whose shape are fixed across wide range pump powers. We show numerically demonstrate experimentally that non-local effect Kerr linear allows...

We present a complete numerical analysis and simulation of the full spatio-temporal dynamics Kerr-lens mode-locking in laser. This dynamic, which is workhorse mechanism for generating ultrashort pulses, relies on intricate coupling between spatial nonlinear propagation temporal compression. Our tool emulates dynamical evolution optical field cavity all time-scales: fast time scale pulse envelope within single round trip, slow time-scale round-trips. employ ABCD formalism that fully handles...

Mode locking in lasers is a collective effect, where due to weak coupling large number of frequency modes lock their phases oscillate unison, forming an ultrashort pulse time. We demonstrate analogous effect coupled parametric oscillators, which we term ``pairwise mode locking,'' many pairs with twin frequencies (symmetric around the center carrier) simultaneously locked phase sum, while individual remain undefined. Thus, despite being broadband and multimode, emission not pulsed lacks...

We utilize the easy setup of RF oscillators to explore semi-classically parametric oscillation and squeezing phenomena in both familiar new configurations. Observation time realization optically-difficult configurations is illuminating.

Broadband squeezing is easily produced, yet practically impossible to utilize, since the detection bandwidth of standard homodyne severely limited. We exploit parametric amplification demonstrate direct optical with effectively unlimited bandwidth.

The expressive capacity of quantum systems for machine learning is limited by sampling noise incurred during measurement. Although it generally believed that limits the resolvable systems, precise impact on not yet fully understood. We present a mathematical framework evaluating available general from finite number measurements, and provide methodology extracting extrema this capacity, its eigentasks. Eigentasks are native set functions given system can approximate with minimal error. show...

We present a mode-locked semiconductor laser oscillator that emits few picosecond pulses (5-8ps at 379MHz repetition) with record peak power (112W) and pulse energy (0.5nJ) directly out of the (with no amplifier). To achieve this high performance we employ high-current broad-area, spatially multi-mode diode amplifier (0.3x5mm), placed in an external cavity enforces oscillation single spatial mode. Consequently, brightness beam is near-ideal ($M^2 = 1.3$). Mode locking achieved by dividing...

We present a mode-locked semiconductor laser oscillator that emits few picosecond pulses (5-8ps at repetition rate of 379MHz and wavelength 1064nm) with record peak power (112W) pulse energy (0.5nJ) directly out the (with no amplifier). To achieve this high performance we employ high-current broad-area, spatially multi-mode diode amplifier (0.3×5mm), placed in an external cavity enforces oscillation single spatial mode. Consequently, brightness beam is near-ideal (M2 = 1.3). Mode locking...