We use compressed sensing to demonstrate theoretically the reconstruction of sub-wavelength features from measured far-field, and provide experimental proof-of-concept. The methods can be applied non-optical microscopes, provided information is sparse.

We study a model of fermions on the square lattice at half-filling coupled to an Ising gauge theory, that was recently shown in Monte Carlo simulations exhibit $\mathbb{Z}_2$ topological order and massless Dirac fermion excitations. On tuning parameters, confining phase with broken symmetry (an antiferromagnet one choice Hamiltonian) also established, transition between these phases found be continuous, co-incident onset breaking confinement. While confinement pure theories is well...

Abstract A silver/nylon 6,6 nanocomposite containing 1 wt % metallic silver has been produced from an aqueous solution of nitrate in the presence ammonia and ethylene glycol by ultrasound‐assisted reduction method. The structure properties nylon coated with have characterized X‐ray diffraction, transmission electron microscopy, scanning energy‐dispersive X‐ray, photoelectron spectroscopy, Raman diffused reflection spectroscopy measurements. nanocrystals pure silver, 50–100 nm size, are...

We study a relativistic O(N) model near the quantum critical point in 2 + 1 dimensions for N = and 3. The scalar susceptibility is evaluated by Monte Carlo simulation. show that spectrum contains well-defined peak associated with Higgs mode arbitrarily close to point. fidelity amplitude ratio between energy scales on both sides of transition are determined.

We study the disordered Heisenberg spin chain, which exhibits many-body localization at strong disorder, in weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational extrapolation recurrents. Good convergence for infinite chain limit shown. find that local decay long times as $C\ensuremath{\sim}{t}^{\ensuremath{-}\ensuremath{\beta}}$, whereas conductivity low-frequency power law...

We explore adiabatic pumping in the presence of a periodic drive, finding new phase which topologically quantized pumped quantity is energy rather than charge. The topological invariant given by winding number micromotion with respect to time within each cycle, momentum, and tuning parameter. show numerically that this pump highly robust against both disorder interactions, breaking down at large values either manner identical Thouless charge pump. Finally, we suggest experimental protocols...

Tensor network states, and in particular Projected Entangled Pair States (PEPS) have been a strong ansatz for the variational study of complicated quantum many-body systems, thanks to their built-in entanglement entropy area law. In this work, we use special kind PEPS - Gauged Gaussian Fermionic (GGFPEPS) find ground state $2+1d$ dimensional pure $\mathbb{Z}_2$ lattice gauge theories wide range coupling constants. We do so by combining methods with Monte-Carlo computations, allowing...

Conductivities and Hall coefficients of two-dimensional hard-core bosons (HCB) are calculated using the thermodynamic expansions Kubo formulas. At temperatures above superfluid transition, resistivity rises linearly is weakly dependent on boson filling. The zeroth-order coefficient diverges toward zero unit fillings, reverses its sign at half correction terms, which up to fourth (Krylov) orders, do not alter this behavior. high temperature thermal reversed relative electric coefficient. We...

We demonstrate theoretically and experimentally the reconstruction of images borne on incoherent light at a resolution greatly exceeding finest defined by NA system. Our method relies compressed sensing techniques, which assume that object is sparse in known basis, only that. The approach robust against noise can be used for reconstructing subwavelength through measurements taken optical far field.

Relativistic O(N) field theories are studied near the quantum critical point in two space dimensions. We compute dynamical correlations by large scale Monte Carlo simulations and numerical analytic continuation. In ordered side, scalar spectral function exhibits a universal peak at Higgs mass. For N=3 4 we confirm its \omega^3 rise low frequency. On disordered sharp gap. N=2, conductivity rises above threshold mass (density gap), superfluid (Mott insulator) phase. charged bosons, (Josephson...

We predict the existence of a novel Floquet topological insulator in three-dimensional two-band systems, Hopf insulator, which possesses two distinct invariants. One is $\mathbb{Z}$ invariant, linking number characterizing (non-driven) insulator. The second invariant an intrinsically $\mathbb{Z}_2$ and represents condensed matter realization topology underlying Witten anomaly particle physics. Both invariants arise from defects system's time-evolution, subject to process at different...

We determine the zero temeperature phase diagram of excitons in symmetric transition-metal dichalcogenide tri-layer heterosctructure WSe2/MoSe2/WSe2. First principle calculations reveal two distinct types interlayer excitonic states, a lower energy quadrupole and higher asymmetric dipole. While interaction between quadrupolar is always repulsive, anti-parallel dipolar attract at large distances. find quantum transitions repulsive lattice staggered (anti-parallel) phase, driven by competition...

Building on quantum Monte Carlo simulations, we study the phase diagram of a one-parameter Hamiltonian interpolating between trivial and topological Ising paramagnets in two dimensions, which are dual to toric code double semion. We discover an intermediate with stripe order spontaneously breaks protecting symmetry. Remarkably, find evidence that this intervening is gapless due incommensurability pattern it $U(1)$ gauge theory exhibiting Cantor deconfinement.

Using quantum Monte Carlo simulations, we map out the phase diagram of Hamiltonians interpolating between trivial and nontrivial bosonic symmetry-protected topological phases, protected by ${\mathbb{Z}}_{2}$ ${\mathbb{Z}}_{2}^{3}$ symmetries, in two dimensions. In all cases, find that phases are separated an intermediate which protecting symmetry is spontaneously broken. Depending on model, identify a variety magnetic orders triangular lattice, including ferromagnetism,...

We study a disordered one-dimensional fermionic system subject to quasiperiodic driving by two modes with incommensurate frequencies. show that the supports topological phase in which energy is transferred between at quantized rate. The protected combination of disorder-induced spatial localization and frequency localization, mechanism unique quasiperiodically driven systems. demonstrate an analogue can be realized cavity-qubit modes.

Exchange bias is a phenomenon critical to solid-state technologies that require spin valves or nonvolatile magnetic memory. The usually studied in the context of interfaces between antiferromagnets and ferromagnets, where exchange field former acts as means pin polarization latter. In present study, we report an unusual instance this topological Weyl semimetal ${\mathrm{Co}}_{3}{\mathrm{Sn}}_{2}{\mathrm{S}}_{2}$, associated with domain walls suffice entire ferromagnetic bulk. Remarkably, our...

The synthesis of two-dimensional van der Waals magnets has paved the way for both technological applications and fundamental research on magnetism confined to ultra-small length scales. Edge magnetic moments in ferromagnets are expected be less magnetized than sample interior because reduced amount neighboring ferromagnetic spins at edge. We recently demonstrated that CrGeTe3 (CGT) flakes thinner 10 nm hard ferromagnets; i.e., they exhibit an open hysteresis loop. In contrast, thicker zero...

We study one-dimensional hybrid quantum circuits perturbed by quenched quasiperiodic (QP) modulations across the measurement-induced phase transition (MIPT). Considering non-Pisot QP structures, characterized unbounded fluctuations, allows us to tune wandering exponent $\ensuremath{\beta}$ exceed Luck bound $\ensuremath{\nu}\ensuremath{\ge}1/(1\ensuremath{-}\ensuremath{\beta})$ for stability of MIPT, where $\ensuremath{\nu}=1.28(2)$. Via robust numerical simulations random Clifford...

We present a sign-problem free quantum Monte Carlo study of model that exhibits phase transitions without symmetry breaking and associated changes in the size Fermi surface. The is an Ising gauge theory on square lattice coupled to matter field spinful `orthogonal' fermions at half-filling, both carrying charges. In contrast previous studies, our hosts electron-like, gauge-neutral fermion excitation providing access liquid phases. One phases previously studied orthogonal semi-metal, which...

We study high-frequency response functions, notably the optical conductivity, in vicinity of quantum critical points (QCPs) by allowing for both detuning from coupling and finite temperature. consider general dimensions dynamical exponents. This leads to a unified understanding sum rules. In systems with emergent Lorentz invariance, powerful methods field theory allow us fix terms universal coefficients. test our predictions analytically large-N O(N) model using gauge-gravity duality...

Using a generalized reciprocity relation between charge and vortex conductivities at complex frequencies in two space dimensions, we identify the capacitance insulating phase as measure of condensate stiffness. We compute ratio boson superfluid stiffness to mirror points be 0.21(1) for relativistic O(2) model. The product dynamical is used test charge-vortex duality. propose finite wave vector compressibility an experimental neutral lattice bosons.

Layered bosonic dipolar fluids have been suggested to host a condensate of interlayer molecular bound states. However, experimental observation has remained elusive. Motivated by two recent works [C. Hubert