Neutral-atom arrays have emerged as a versatile platform toward scalable quantum computation and optimization. In this paper, we present demonstrations of solving maximum-weighted independent-set problems on Rydberg-atom array using annealing with local light shifts. We verify the ability to prepare weighted graphs in one-dimensional (1D) two-dimensional (2D) arrays, including embedding five-vertex nonunit-disk graph nine physical qubits demonstration simple crossing gadget. find common...

We study the single-particle properties of a system formed by ultracold atoms loaded into manifold $l=1$ Orbital Angular Momentum (OAM) states an optical lattice with diamond chain geometry. Through series successive basis rotations, we show that OAM degree freedom induces phases in some tunneling amplitudes tight-binding model are equivalent to net $\pi$ flux through plaquettes and give rise topologically non-trivial band structure protected edge states. In addition, demonstrate quantum...

Abstract The discovery of artificial gauge fields controlling the dynamics uncharged particles that otherwise elude influence standard electromagnetic has revolutionised field quantum simulation. Hence, developing new techniques to induce these is essential boost simulation photonic structures. Here, we experimentally demonstrate generation an in a lattice by modifying topological charge light beam, overcoming need modify geometry along evolution or impose external fields. In particular,...

We present a robust protocol for implementing high-fidelity multiqubit controlled phase gates $(C^kZ)$ on neutral atom qubits coupled to highly excited Rydberg states. Our approach is based extending adiabatic rapid passage two-photon excitation via short-lived intermediate state common alkali-atom experiments, accounting the full impact of spontaneous decay and differential AC Stark shifts from complete manifold hyperfine evaluate optimize gate performance, concluding that Cs currently...

We propose a realization of two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states an optical lattice. The symmetries the OAM induce relative phases in tunneling amplitudes that allow to describe system terms two decoupled lattice models. Each these models displays one-dimensional edge and zero-dimensional corner are correlated properties bulk. show topologically nontrivial regime can be explored wide range experimentally...

We show that bosonic atoms loaded into orbital angular momentum $l=1$ states of a lattice in diamond-chain geometry provide flexible and simple platform for exploring range topological effects. This system exhibits robust edge persist across the gap-closing points, indicating absence transition. discuss how to perform characterization model with generalization Zak's phase we this constitutes realization square-root insulator. Furthermore, relative phases arising naturally tunneling...

This work explores the properties of two interacting bosons in a flat-band system. The authors show how collective particle motion processes mediated by interactions can lead to variety two-body topological states. Furthermore, they identify set bound states that remain localized small region lattice for arbitrarily large interactions.

Square-root topology describes models whose topological properties can be revealed upon squaring the Hamiltonian, which produces their respective parent insulators. This concept has recently been generalized to ${2}^{n}$-root topology, characterizing where $n$ operations must applied Hamiltonian arrive at source of model. In this paper, we analyze Hofstadter regime quasi-one-dimensional and two-dimensional models, latter square lattice (SL) (known for Butterfly) as We show that increasing...

We present a scheme for speeding up quantum measurement. The builds on previous protocols that entangle the system to be measured with ancillary systems. In idealized situation of perfect entangling operations and no decoherence, it gives an exact space-time trade-off meaning readout speed increases linearly number ancilla. verify this is robust against experimental imperfections through numerical modeling gate noise errors, under certain circumstances our can even lead better than linear...

In this work we demonstrate the existence of orbital angular momentum (OAM) bright and dark supermodes in a three-evanescently coupled cylindrical waveguides system. Bright are characterized by their coupling decoupling from one waveguides, respectively. addition, that complex couplings between modes different appear naturally due to characteristic spiral phase-front OAM two-dimensional configurations where arranged forming triangle. Finally, adding dissipation waveguide uncoupled supermode,...

We show how to estimate a broad class of multipartite entanglement measures from Bell basis measurement data. In addition lowering the experimental requirements relative previously known methods estimating these measures, our proposed scheme also enables simpler analysis number repetitions required achieve an $\epsilon$-close approximation which we provide for each. focus on recently introduced Concentratable Entanglements [Beckey et al. Phys. Rev. Lett. 127, 140501 (2021)] because many...

Abstract Ultracold atoms carrying Orbital Angular Momentum (OAM) loaded in lattices constitute a promising platform for engineering topological systems either at the single-particle limit or presence of interactions. In this review, we report recent progress on topic with focus bosons OAM l = 1 coplanar ring potentials, which provide an ideal scenario to realise non-trivial phases matter.

We investigate the properties of a few interacting bosons in Creutz ladder, which has become standard model for topological systems, and can be realized experiments with cold atoms optical lattices. At single-particle level, this system may exhibit completely flat energy landscape nontrivial properties. In scenario, we identify two-body edge states resulting from bonding flat-band states. also explore formation two- three-body bound strongly limit, show how these quasiparticles engineered to...

We show how strongly correlated ultracold bosonic atoms loaded in specific orbital angular momentum states of arrays cylindrically symmetric potentials can realize a variety spin-1/2 models quantum magnetism. consider explicitly the dependence effective couplings on geometry system and demonstrate that several interest related to general $XYZ$ Heisenberg model with external field be obtained. Furthermore, we discuss relative strength tuned which phases explored by doing so realistic setups....

We demonstrate how quantum interference may lead to the appearance of robust edge-like states a single ultracold atom in two-dimensional optical ribbon. show that these can be engineered either within manifold local ground sites forming ribbon, or carrying one unit angular momentum. In former case, we implementation extended other geometries, such as tilted square lattices. latter suggest use winding number associated momentum synthetic dimension.

A quantum device for measuring two-body interactions, scalar magnetic fields and rotations is proposed using a Bose--Einstein condensate (BEC) in ring trap. We consider an imbalanced superposition of orbital angular momentum modes with opposite winding numbers which rotating minimal atomic density line appears. derive analytical model relating the frequency rotation to strength non-linear atom-atom interactions difference between populations counter-propagating modes. Additionally, we...

We investigate the properties of few interacting bosons in a Creutz ladder, which has become standard model for topological systems, and can be realised experiments with cold atoms optical lattices. At single-particle level, this system may exhibit completely flat energy landscape non-trivial properties. In scenario, we identify two-body edge states resulting from bonding flat-band states. also explore formation two- three-body bound strongly-interacting limit, show how these quasi-particles...

Neutral atom arrays have emerged as a versatile platform towards scalable quantum computation and optimization. In this paper we present first demonstrations of weighted graph optimization on Rydberg array using annealing with local light-shifts. We verify the ability to prepare graphs in 1D 2D arrays, including embedding five vertex non-unit disk nine physical qubits. find common ramps leading preparation target ground state robustly over substantial range different weightings. This work...

In this work we demonstrate the existence of orbital angular momentum (OAM) bright and dark supermodes in a three-evanescently coupled cylindrical waveguides system. Bright are characterized by their coupling decoupling from one waveguides, respectively. addition, that complex couplings between modes different appear naturally due to characteristic spiral phase-front OAM two-dimensional configurations where arranged forming triangle. Finally, adding dissipation waveguide uncoupled supermode,...

Photonic integrated circuits are expected to drastically improve data transfer technologies and computing platforms due the high speed quality of light-based communications. Optical waveguides basic elements in photonic circuits, being cylindrical optical an especially interesting case, as they admit complex light modes, such beams carrying orbital angular momentum (OAM).

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