We report on the experimental realization of a uniform synthetic magnetic flux and observation Aharonov-Bohm cages in photonic lattices. Considering rhombic array optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce nonzero per plaquette. This field for light can be tuned at will by varying phase modulation. In regime where half quantum is realized each plaquette, all energy bands dramatically collapse into nondispersive (flat) eigenstates are...

We consider two interacting bosons in a dimerized Su-Schrieffer-Heeger (SSH) lattice. identify rich variety of two-body states. In particular, for open boundary conditions and moderate interactions, edge bound states (EBS) are present even the dimerization that does not sustain single-particle Moreover, large values we find breaking standard bulk-boundary correspondence. Based on mapping particles one dimension onto single particle dimensions, propose an experimentally realistic coupled...

By using a modulated magnetic field in Feshbach resonance for ultracold fermionic atoms optical lattices, we show that it is possible to engineer class of models usually referred as correlated-hopping models. These differ from the Hubbard model exhibiting additional density-dependent interaction terms affect hopping processes. In addition spin-SU(2) symmetry, they also possess charge-SU(2) which opens possibility investigating $\ensuremath{\eta}$-pairing mechanism superconductivity...

Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While non-interacting fermionic topological insulators well established now have been classified according to a ten-fold scheme, possible realisation for bosons has not much explored yet. Furthermore, role interactions is far from being understood. Here, we show that state exclusively driven may occur in p-band Lieb optical lattice...

The interplay of $\pi$-flux and lattice geometry can yield full localization quantum dynamics in systems, a striking interference phenomenon known as Aharonov-Bohm caging. At the level single-particle energy spectrum, this full-localization effect is attributed to collapse Bloch bands into set perfectly flat (dispersionless) bands. In such models, effects inter-particle interactions generally lead breaking cages, hence, spreading wavefunction over lattice. Motivated by recent experimental...

The authors show that, in the presence of long ranged interactions, center mass bound systems with interactions defines a distinct lattice respect to one experienced by noninteracting particles. As consequence, topological and geometrical effects emerge paper explores several scenarios including localization, Berry phases bands.

We study the topological properties of two-body bound states in an interacting Haldane model as a function interparticle interactions. In particular, we identify phases where edge have either same or opposite chirality compared to single-particle states. highlight that moderately regime, which is relevant for experimental realization with ultracold atoms, transition affected by internal structure state, and phase boundaries are consequently deformed.

Abstract Applying time-periodic modulations is routinely used to control and design synthetic matter in quantum-engineered settings. In lattice systems, this approach explored engineer band structures with non-trivial topological properties, but also generate exotic interaction processes. A prime example density-assisted tunneling, by which the hopping amplitude of a particle between neighboring sites explicitly depends on their respective occupations. Here, we show how tunneling can be...

Abstract Bloch oscillations (BOs) are a fundamental phenomenon by which wave packet undergoes periodic motion in lattice when subjected to force. Observed wide range of synthetic systems, BOs intrinsically related geometric and topological properties the underlying band structure. This has established as prominent tool for detection Berry-phase effects, including those described non-Abelian gauge fields. In this work, we unveil unique effect that manifests higher-order insulators through...

Abstract We develop a toolbox for manipulating arrays of Rydberg atoms prepared in high-dimensional hydrogen-like manifolds the regime linear Stark and Zeeman effect. exploit SO(4) symmetry to characterize action static electric magnetic fields as well microwave optical on well-structured states with principal quantum number n . This enables us construct generalized large-spin Heisenberg models which we state-preparation readout schemes. Due available large internal Hilbert space, these...

One-dimensional confinement in waveguide quantum electrodynamics (QED) plays a crucial role to enhance light-matter interactions and induce strong nonlinear optical response. In two or higher-dimensional settings, this response is reduced since photons can be emitted within larger phase space, opening the question whether photon-photon interaction still achieved. study, we positively answer for case of 2D square array atoms coupled light confined into two-dimensional waveguide. More...

We consider ultracold bosons in a two-dimensional square optical lattice described by the Bose-Hubbard model. In addition, an external time-dependent sinusoidal force is applied to system, which shakes along one of diagonals. The effect shaking renormalize nearest-neighbor-hopping coefficients, can be arbitrarily reduced, vanish, or even change sign, depending on parameter. Therefore, it necessary account for higher-order-hopping terms, are renormalized differently shaking, and introduce...

The control of transport properties is a key tool at the basis many technologically relevant effects in condensed matter. clean and precisely controlled environment ultracold atoms optical lattices allows one to prepare simplified but instructive models, which can help better understand underlying physical mechanisms. Here we show that by tuning structural deformation unit cell bipartite lattice, induce phase transition from superfluid into various Mott insulating phases forming shell...

We present a strategy based on two-dimensional arrays of coupled linear optical resonators to investigate the two-body physics interacting bosons in one-dimensional lattices. In particular, we want address bound pairs topologically nontrivial Su-Schrieffer-Heeger arrays. Taking advantage driven-dissipative nature resonators, propose spectroscopic protocols detect and tomographically characterize bulk doublon bands edge states from spatially resolved transmission spectra, highlight Feshbach...

Ultracold atoms loaded into higher Bloch bands provide an elegant setting for realizing many-body quantum states that spontaneously break time-reversal symmetry through the formation of chiral orbital order. The applicability this strategy remains nonetheless limited due to finite lifetime in high-energy bands. Here we introduce alternative framework, suitable bosonic gases, which builds on assembling square plaquettes pierced by a $\ensuremath{\pi}$ flux (half magnetic-flux quantum). This...

This work explores the possibility of creating and controlling unconventional nonlinearities by periodic driving, in a broad class systems described nonlinear Schrödinger equation (NLSE). By means parent quantum many-body description, we demonstrate that such driven are well captured an effective NLSE with emergent nonlinearities, which can be finely controlled tuning driving sequence. We first consider general two-mode systems—relevant to optical Kerr cavities, waveguides, Bose-Einstein...

We describe the behavior of a system fermionic atoms loaded in bipartite one-dimensional optical lattice that is under action an external time-periodic driving force. By using Floquet theory, effective model with renormalized hopping coefficients derived. The insulating characterizing at half-filling absence dynamically suppressed and for particular values parameter becomes either standard metal or unconventional four Fermi points. use bosonization technique to investigate effect on-site...

The notion of topology in physical systems is associated with the existence a nonlocal ordering that insensitive to large class perturbations. This brings robustness behaviour system and can serve as ground for developing new fault-tolerant applications. We discuss how design study variety topology-related phenomena phonon-like collective modes arrays ultracold polarized dipolar particles. These are coherently propagating vibrational excitations, corresponding oscillations particles around...

We study the low-energy excitations of Bose-Hubbard model in strongly-interacting superfluid phase using a Gutzwiller approach and extract single-particle single-hole excitation amplitudes for each mode. report emergent mode-dependent particle-hole symmetry on specific arc-shaped lines diagram connecting well-known Lorentz-invariant limits model. By tracking in-phase symmetric oscillations order parameter, we provide an answer to long-standing question about fate pure amplitude Higgs mode...

Both mixtures of atomic Bose-Einstein condensates and systems with atoms trapped in optical lattices have been intensely explored theoretically, mainly due to the exceptional developments on experimental side. We investigate properties ultracold impurities (bosons) immersed a vortex lattice second Bose-condensed species. In contrast static optical-lattice configuration, presents intrinsic dynamics given by its Tkachenko modes. These excitations induce additional correlations between...

It has been recently claimed that dark energy can be (and been) observed in laboratory experiments by measuring the power spectrum SI(ω) of noise current a resistively shunted Josephson junction and new dedicated experiments, which will soon test higher frequency range, should show deviation from linear rising lower region because frequencies not contribute to energy. Based on previous work theoretical aspects fluctuation-dissipation theorem, we carefully investigate these issues claims are...