We propose a general framework to solve tight binding models in D dimensional lattices driven by ac electric fields. Our method is valid for arbitrary driving regimes and allows us obtain effective Hamiltonians different external field configurations. establish an equivalence with time-independent D+1 dimensions analyze their topological properties. Furthermore, we demonstrate that nonadiabaticity drives transition from invariants defined dimensions. results have potential applications...

The discovery of topological materials has motivated recent developments to export concepts into photonics make light behave in exotic ways. Here, we predict several unconventional quantum optical phenomena that occur when emitters interact with a waveguide electrodynamics bath, namely, the photonic analog Su-Schrieffer-Heeger model. When emitters' frequency lies within bandgap, chiral bound state emerges, which is located on just one side (right or left) emitter. In presence emitters, this...

We investigate the effect of an in-plane AC electric field coupled to electrons in honeycomb lattice and show that it can be used manipulate Dirac points electronic structure. find position controlled by amplitude polarization for high frequency drivings, providing a new platform achieve their merging, topological transition which has not been observed yet systems. Importantly, lower frequencies we multi-photon absorptions emissions processes yield creation additional pairs points. This...

We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an unconventional $4\pi$-periodic effect and thus only steps at even multiples of driving frequency. Taking additionally into account overlap between fermions, due finite length wire, renders conventional for any dc-experiments. show that probing current-phase relation current biased setup dynamically...

We extend the standard SSH model to include long range hopping and disorder, study how electronic topological properties are affected. show that can change symmetry class invariant, while diagonal off-diagonal disorder lead Anderson localization. Interestingly we find Lyapunov exponent $\gamma(E)$ be linked in two ways presence of disorder: Either due different response mid-gap states increasing or an extra contribution $\gamma$ edge modes. Finally discuss its implications realistic...

We present a theoretical model in which the existence of radiation-induced zero-resistance states is analyzed. An exact solution for harmonic oscillator wave function presence radiation, and perturbation treatment elastic scattering due to randomly distributed charged impurities, form foundations our model. Following this most experimental results are reproduced, including formation resistivity oscillations, their dependence on intensity frequency temperature effects, locations minima. The...

We theoretically study the nonequilibrium transport properties of double quantum dots, in both series and parallel configurations. Our results lead to novel experimental predictions that unambiguously signal transition from a Kondo state an antiferromagnetic spin-singlet state, directly reflecting physics two-impurity problem. prove nonlinear conductance through dots measures exchange constant J between spins dots. In serial provides upper bound on J.

We propose and analyze a new scheme of realizing both spin filtering pumping by using ac-driven double quantum dots in the Coulomb blockade regime. By calculating current through system sequential tunneling regime, we demonstrate that polarization can be controlled tuning parameters (amplitude frequency) ac field. also discuss relaxation decoherence effects pumped current.

Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases matter. In this work, we theoretically study main features these exotic in periodically driven one-dimensional Kitaev model. By controlling ac fields, can predict new phase transitions that should give rise to signatures experiments. Moreover, knowledge time-dependence allows one manipulate them. Our work contains a complete analysis monochromatic driving different frequency regimes.

We investigate the ac electric field induced quantum anomalous Hall effect in honeycomb lattices and derive full phase diagram for arbitrary amplitude polarization. show how to induce antichiral edge modes as well topological phases characterized by a Chern number larger than 1 means of suitable drivings. In particular, we find that develops plateaus function frequency, providing time-dependent analog ones effect.

We examine the low-energy physics of graphene in presence a circularly polarized electric field terahertz regime. Specifically, we derive general expression for dynamical polarizability irradiated by an ac field. Several approximations are developed that allow one to develop semianalytical theory weak-field The changes qualitatively single- and many-electron excitations graphene: Undoped samples may exhibit collective (in contrast equilibrium situation), properties doped strongly influenced...

We investigate theoretically the dynamics of a Josephson junction in framework RSJ model. consider that hosts two supercurrrent contributions: $2\pi$- and $4\pi$-periodic phase, with intensities $I_{2\pi}$ $I_{4\pi}$ respectively. study size Shapiro steps as function ratio intensity mentioned contributions, i.e. $I_{4\pi}/I_{2\pi}$. provide detailed explanations where to expect clear signatures presence contribution external parameters: AC-bias $I_\text{ac}$ frequency $\omega_\text{ac}$. On...

Waveguide QED has emerged as a powerful analog quantum simulator due to the possibility of mediating versatile spin-spin interactions with tunable sign, range, and even dimerization. Yet, despite their potential, many-body phases emerging from these systems have only been scarcely explored. Here, we characterize large class spin models that can be obtained in such waveguide-QED simulators uncover, importantly, existence symmetry-protected topological large-period magnetic orderings no other...

To observe synchronization in a large network of classical or quantum systems demands both excellent control the interactions between nodes and very accurate preparation initial conditions due to involved nonlinearities dissipation. This limits applicability this phenomenon for future devices. Here, we demonstrate route towards significantly enhancing robustness synchronized behavior open nonlinear that utilizes power topology. In lattice van der Pol oscillators with topologically motivated...

The duration of bidirectional transfer protocols in 1D topological models usually scales exponentially with distance. In this work, we propose multidomain SSH chains and Creutz ladders that lose the exponential dependence, greatly speeding up process respect to their single-domain counterparts, reducing accumulation errors drastically increasing performance, even presence symmetry-breaking disorder. We also investigate how harness localization properties ladder---with two localized modes per...

The Su-Schrieffer-Heeger (SSH) chain, which serves as a paradigmatic model for comprehending topological phases and their associated edge states, plays an essential role in advancing our understanding of quantum materials information processing technology. In this paper, we introduce hybrid analog-digital protocol designed the nonadiabatic yet high-fidelity transfer states SSH featuring two sublattices, A B. core approach lies harnessing approximate time-dependent counterdiabatic (CD)...

We analyze coherent spin phenomena in triple quantum dots triangular configuration under crossed DC and AC magnetic fields. In particular, we discuss the interplay between Aharonov-Bohm current oscillations, electron trapping blockade resonance conditions. demonstrate that, for certain field frequencies, fields induce an antiresonant behavior current, allowing both removal restoration of entangled blockaded states by tuning frequency. Our theoretical predictions indicate how to manipulate...

Abstract The controlled transfer of particles from one site a spatial lattice to another is essential for many tasks in quantum information processing and communication. In this work we study how induce long-range between the two ends dimer chain, by coupling states that are localized just on chain’s end-points. This has appealing feature occurs only end-points – particle does not pass through intermediate sites–making less susceptible decoherence. We first show repulsively bound-pair...

Hole spin qubits in semiconductor quantum dots (QDs) are promising candidates for information processing due to their weak hyperfine coupling nuclear spins, and the strong spin-orbit coupling, which allows rapid operation time. We propose a coherent control on two heavy-hole double QD by fast adiabatic driving protocol, helps achieve higher fidelities than other experimentally commonly used protocols as linear ramping, $\ensuremath{\pi}$ pulses or Landau-Zener passages. Using quasiadiabatic...

In the ongoing effort towards a scalable quantum computer, multiple technologies have been proposed. Some of them exploit topological materials to process information. this work, we propose lattice photonic cavities with alternating hoppings create modified multidomain SSH chain, that is, sequence insulators made from chains dimers. A qubit is then coupled each boundary. We show system well suited for information processing because transfer photons through one-dimensional can entangle any...

Quantum Floquet engineering (QFE) seeks to generalize the control of quantum systems with classical external fields, widely known as Semi-Classical (SCFE), fields. However, faithfully capture physics at arbitrary coupling, a gauge-invariant description light-matter interaction in cavity-QED materials is required, which makes Hamiltonian highly non-linear photonic operators. We provide non-perturbative truncation scheme Hamiltonian, valid or coupling strength, and use it investigate role...

We investigate the dynamics of two interacting electrons confined to a pair coupled quantum dots driven by an external ac field. By numerically integrating two-electron Schr\"odinger equation in time, we find that for certain values strength and frequency field can become localized within just one dots, spite Coulomb repulsion. Reducing system effective two-site model Hubbard type, applying Floquet theory, leads detailed understanding this effect. This demonstrates possibility using...