A5081641485- Quantum Computing Algorithms and Architecture
- Quantum many-body systems
- Quantum Information and Cryptography
- Neural Networks and Reservoir Computing
- Cold Atom Physics and Bose-Einstein Condensates
- Physics of Superconductivity and Magnetism
- Quantum and electron transport phenomena
- Topological Materials and Phenomena
- Advanced Memory and Neural Computing
- Strong Light-Matter Interactions
- Optical Network Technologies
- Nonlinear Photonic Systems
- Quantum, superfluid, helium dynamics
- Anomaly Detection Techniques and Applications
- COVID-19 epidemiological studies
- Ferroelectric and Negative Capacitance Devices
- Opinion Dynamics and Social Influence
- Mechanical and Optical Resonators
- Neural dynamics and brain function
- Data-Driven Disease Surveillance
- Nonlinear Dynamics and Pattern Formation
- advanced mathematical theories
- Advanced Fiber Laser Technologies
- Advanced Materials Characterization Techniques
- Random lasers and scattering media
Enrico Fermi Center for Study and Research
2022-2025
Sapienza University of Rome
2014-2022
Institute for Complex Systems
2022
National Research Council
2022
Bar-Ilan University
2017-2021
Istituto Nanoscienze
2016-2017
Université Paris Sciences et Lettres
2017
Centre National de la Recherche Scientifique
2017
Scuola Normale Superiore
2017
Laboratoire de Physique de l'ENS
2017
The combination of interactions and static gauge fields plays a pivotal role in our understanding strongly-correlated quantum matter. Cold atomic gases endowed with synthetic dimension are emerging as an ideal platform to experimentally address this interplay quasi-one-dimensional systems. A fundamental question is whether these setups can give access pristine two-dimensional phenomena, such the fractional Hall effect, how. We show that unambiguous signatures bosonic fermionic Laughlin-like...
Classical and quantum systems are used to simulate the Ising Hamiltonian, an essential component in large-scale optimization machine learning. However, as system size increases, devices like annealers coherent machines face exponential drop their success rate. Here, we introduce a novel approach involving high-dimensional embeddings of Hamiltonian technique called ``dimensional annealing'' counteract decrease performance. This leads improvement rate other performance metrics, slowing down...
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...
This roadmap consolidates recent advances while exploring emerging applications, reflecting the remarkable diversity of hardware platforms, neuromorphic concepts, and implementation philosophies reported in field. It emphasizes critical role cross-disciplinary collaboration this rapidly evolving
Ising machines are an emerging class of hardware that promises ultrafast and energy-efficient solutions to <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>N</a:mi><a:mi>P</a:mi></a:math>-hard combinatorial optimization problems. Spatial photonic (SPIMs) exploit optical computing in free space accelerate the computation, showcasing parallelism, scalability, low power consumption. However, current SPIMs can implement only a restricted This partial programmability is...
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...
Networks of optical oscillators simulating coupled Ising spins have been recently proposed as a heuristic platform to solve hard optimization problems. These networks, called coherent machines (CIMs), exploit the fact that collective nonlinear dynamics can drive system close global minimum classical Hamiltonian, encoded in coupling matrix network. To date, realizations large-scale CIMs demonstrated using hybrid optical-electronic setups, where different are subject electronic feedback...
From condensed matter to quantum chromodynamics, multidimensional spins are a fundamental paradigm, with pivotal role in combinatorial optimization and machine learning. Machines formed by coupled parametric oscillators can simulate spin models, but only for Ising or low-dimensional spins. Currently, machines implementing arbitrary dimensions remain challenge. Here, we introduce validate hyperspin continuous models. We realize high-dimensional pumping groups of oscillators, study NP-hard...
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...
Parafermions are emergent quasiparticles which generalize Majorana fermions and possess intriguing anyonic properties. The theoretical investigation of effective models hosting them is gaining considerable importance in view present-day condensed-matter realizations where they have been predicted to appear. Here we study the simplest number-conserving model particlelike Fock parafermions, namely a one-dimensional tight-binding model. By means numerical simulations based on exact...
Topological order, the hallmark of fractional quantum Hall states, is primarily defined in terms ground-state degeneracy on higher-genus manifolds, e.g. torus. We investigate analytically and numerically smooth crossover between this topological regime Tao-Thouless thin torus quasi-1D limit. Using wire-construction approach, we analyze an emergent charge density wave (CDW) signifying break-down relate its phase shifts to Wilson loop operators. The CDW amplitude decreases exponentially 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 consider a microcavity made by graded-index glass, doped with dye molecules, placed within two planar mirrors and study Bose-Einstein condensation of photons. The presence the leads to an effective photon mass, index grading provides trapping frequency; gas becomes formally equivalent two-dimensional Bose trapped in isotropic harmonic potential. inclusion nonlinear effects interaction between discuss, particular, thermal lensing nonlocal nonlinearity, quantitatively compare our results...
We investigate the evolution of string order in a spin-1 chain following quantum quench. After initializing Affleck-Kennedy-Lieb-Tasaki state, we analyze detail how evolves as function time at different length scales. The Hamiltonian after quench is chosen either to preserve or suddenly break symmetry which ensures presence order. Depending on these two situations arises, preserved lost even infinitesimal times thermodynamic limit. fact that nonlocal may be abruptly destroyed, what call...
Systems of coupled optical parametric oscillators (OPOs) forming an Ising machine are emerging as large-scale simulators the model. The advances in computer science and nonlinear optics have triggered not only physical realization hybrid (electrooptical) or all-optical machines, but also demonstration quantum-inspired algorithms boosting their performances. To date, use quantum nature parametrically generated light a further resource for computation represents major open issue. A key feature...
We study the emergence of bosonic pairs in a system two coupled one-dimensional fermionic chains subject to gauge flux (two-leg ladder), with both attractive and repulsive interaction. In presence strong nearest-neighbor interaction next-to-nearest-neighbor interaction, crosses into regime which fermions form tightly bound pairs, behave as entities. By means numerical simulations based on density-matrix-renormalization-group (DMRG) method, we show particular that strongly paired regime,...
Ultracold bosonic atoms trapped in a two-leg ladder pierced by magnetic field provide minimal and quasi-one-dimensional instance to study the interplay between orbital magnetism interactions. Using time-dependent matrix-product-states simulations, we investigate properties of so-called "Meissner" "vortex" phases which appear such system, focusing on experimentally accessible observables. We discuss how monitor phase transition, show that response modulation density imbalance two legs is...
We study the robustness of non-local string order in two paradigmatic disordered spin-chain models, a spin-1/2 cluster-Ising and spin-1 XXZ Heisenberg chain. In clean case, they both display transition from antiferromagnetic to order. Applying disorder which preserves Hamiltonian symmetries, we find that persists models. model can analytically -- by applying strongest coupling renormalization group numerically exploiting integrability parameters. map into quadratic fermion chain, where...
We investigate the dynamics of multi-mode optical systems driven by two-photon processes and subject to non-local losses, incorporating quantum noise at Gaussian level. Our findings show that statistics retrieved from a single trajectory exhibits emergent thermal equilibrium governed an Ising Hamiltonian, encoded in dissipative coupling between modes. The system's effective temperature is set driving strength relative oscillation threshold. Given ultra-short time scales typical all-optical...
We explore the potential of spatial-photonic Ising machines (SPIMs) to address computationally intensive problems that employ low-rank and circulant coupling matrices. Our results indicate performance SPIMs is critically affected by rank precision By developing assessing advanced decomposition techniques, we expand range can solve, overcoming limitations traditional Mattis-type approach accommodates a diverse array matrices, including those with inherently low ranks, applicable complex...
Ising machines are an emerging class of hardware that promises ultrafast and energy-efficient solutions to NP-hard combinatorial optimization problems. Spatial photonic (SPIMs) exploit optical computing in free space accelerate the computation, showcasing parallelism, scalability, low power consumption. However, current SPIMs can implement only a restricted This partial programmability is critical limitation hampers their benchmark. Achieving full device while preserving its scalability open...
We report on the emergence of a highly non-classical collective behavior in quantum parametric oscillators, which we name hyperspin, induced by tailored nonlinear interaction. This is second quantized version classical multidimensional spherical spins, as XY spins two dimensions, and Heisenberg three dimensions. In phase space, hyperspins are represented shells whose radius scales with number particles way such that it cannot be factorized even limit large particle number. show nonlinearly...
The ability to create and manipulate strongly correlated quantum many-body states is of central importance the study collective phenomena in several condensed-matter systems. In last decades, a great amount work has been focused on ultracold atoms optical lattices, which provide flexible platform simulate peculiar phases matter both for fermionic bosonic particles. recent experimental demonstration Bose-Einstein condensation (BEC) light dye-filled microcavities opened intriguing possibility...
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...