Quasiperiodicity
View article: Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering Open
We give a general overview of the high-frequency regime in periodically\ndriven systems and identify three distinct classes of driving protocols in\nwhich the infinite-frequency Floquet Hamiltonian is not equal to the\ntime-averaged Hamilt…
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Noncollinear phases in moiré magnets Open
Significance Moiré patterns, which result when two or more two-dimensional materials with incommensurate or rotated lattices are layered together, create controllable electronic bands that have recently been shown to induce a tremendous we…
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Many-body localization in a non-Hermitian quasiperiodic system Open
In the present study, the interplay among interaction, topology, quasiperiodicity, and non-Hermiticity is studied. The hard-core bosons model on a one-dimensional lattice with asymmetry hoppings and quasiperiodic onsite potentials is selec…
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Logarithmically Slow Relaxation in Quasiperiodically Driven Random Spin Chains Open
We simulate the dynamics of a disordered interacting spin chain subject to a quasiperiodic time-dependent drive, corresponding to a stroboscopic Fibonacci sequence of two distinct Hamiltonians. Exploiting the recursive drive structure, we …
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Many-body delocalization dynamics in long Aubry-André quasiperiodic chains Open
We study quench dynamics in an interacting spin chain with a quasi-periodic\non-site field, known as the interacting Aubry-Andr\\'e model of many-body\nlocalization. Using the time-dependent variational principle, we assess the\nlate-time …
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Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs Open
We study a possible superconductivity in quasiperiodic systems, by portraying\nthe issue within the attractive Hubbard model on a Penrose lattice. Applying a\nreal-space dynamical mean-field theory to the model consisting of 4181 sites,\nw…
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Antiferromagnetic order in the Hubbard model on the Penrose lattice Open
We study an antiferromagnetic order in the ground state of the half-filled Hubbard model on the Penrose lattice and investigate the effects of quasiperiodic lattice structure. In the limit of infinitesimal Coulomb repulsion $U \rightarrow …
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Forced synchronization of quasiperiodic oscillations in a thermoacoustic system Open
In self-excited combustion systems, the application of open-loop forcing is known to be an effective strategy for controlling periodic thermoacoustic oscillations, but it is not known whether and under what conditions such a strategy would…
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Ring states in swarmalator systems Open
Synchronization is a universal phenomenon, occurring in systems as disparate as Japanese tree frogs and Josephson junctions. Typically, the elements of synchronizing systems adjust the phases of their oscillations, but not their positions …
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Extreme events following bifurcation to spatiotemporal chaos in a spatially extended microcavity laser Open
The occurrence of extreme events in a spatially extended microcavity laser has been recently reported [Selmi et al., Phys. Rev. Lett. 116, 013901 (2016)] to be correlated to emergence of spatiotemporal chaos. In this dissipative system, th…
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Semiclassical limit for the many-body localization transition Open
We introduce a semi-classical limit for many-body localization in the absence of global symmetries. Microscopically, this limit is realized by disordered Floquet circuits composed of Clifford gates. In $d=1$, the resulting dynamics are alw…
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Expanding quasiperiodicity in soft matter: Supramolecular decagonal quasicrystals by binary giant molecule blends Open
Significance As the formation of quasicrystalline ordering in both metal alloys and soft matters reinforces the scale-invariance principle, however, it remains unknown that why metallic quasicrystals prefer decagonal quasicrystalline (DQC,…
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Magnons in a Quasicrystal: Propagation, Extinction, and Localization of Spin Waves in Fibonacci Structures Open
Magnonic quasicrystals exceed the possibilities of spin wave (SW)\nmanipulation offered by regular magnonic crystals, because of their more\ncomplex SW spectra with fractal characteristics. Here, we report the direct\nx-ray microscopic obs…
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Localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with -wave pairing Open
We study non-Hermitian Aubry-Andr\'{e}-Harper models with p-wave pairing, where the non-Hermiticity is introduced by on-site complex quasiperiodic potentials. By analysing the $\mathcal{PT}$ symmetry breaking, winding numbers of energy spe…
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Hidden dualities in 1D quasiperiodic lattice models Open
We find that quasiperiodicity-induced transitions between extended and localized phases in generic 1D systems are associated with hidden dualities that generalize the well-known duality of the Aubry-André model. These spectral and eigensta…
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Diffusive transport in a quasiperiodic Fibonacci chain: Absence of many-body localization at weak interactions Open
We study high-temperature magnetization transport in a many-body spin-1/2\nchain with on-site quasiperiodic potential governed by the Fibonacci rule. In\nthe absence of interactions it is known that the system is critical with the\ntranspo…
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Signatures of chaos in the dynamics of quantum discord Open
We identify signatures of chaos in the dynamics of discord in a multiqubit system collectively modelled as a quantum kicked top. The evolution of discord between any two qubits is quasiperiodic in regular regions, while in chaotic regions …
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Quasiperiodicity, band topology, and moiré graphene Open
A number of moir\\'e graphene systems have nearly flat topological bands where\nelectron motion is strongly correlated. Though microscopically these systems\nare only quasiperiodic, they can typically be treated as translation invariant\nt…
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Quantitative quasiperiodicity Open
The Birkhoff Ergodic Theorem concludes that time averages, i.e., Birkhoff\naverages, $\\Sigma_{n=0}^{N-1} f(x_n)/N$ of a function $f$ along a length $N$\nergodic trajectory $(x_n)$ of a function $T$ converge to the space average\n$\\int f …
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Spatiotemporal chaos and two-dimensional dissipative rogue waves in Lugiato-Lefever model Open
\n Driven nonlinear optical cavities can exhibit complex spatiotemporal dynamics. We consider the paradigmatic Lugiato-Lefever model describing driven nonlinear optical resonator. This model is one of the most-studied nonlinear equations i…
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Transport, multifractality, and the breakdown of single-parameter scaling at the localization transition in quasiperiodic systems Open
There has been a revival of interest in localization phenomena in\nquasiperiodic systems with a view to examining how they differ fundamentally\nfrom such phenomena in random systems. Mo- tivated by this, we study transport\nin the quasipe…
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Light propagation in quasiperiodic dielectric multilayers separated by graphene Open
The study of photonic crystals, artificial materials whose dielectric properties can be tailored according to the stacking of its constituents, remains an attractive research area. In this article we have employed a transfer matrix treatme…
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Many-body localization in the interpolating Aubry-André-Fibonacci model Open
We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbor coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic…
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Measuring quasiperiodicity Open
The Birkhoff Ergodic Theorem asserts under mild conditions that Birkhoff averages (i.e. time averages computed along a trajectory) converge to the space average. For sufficiently smooth systems, our small modification of numerical Birkhoff…
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Quasiperiodic granular chains and Hofstadter butterflies Open
We study quasiperiodicity-induced localization of waves in strongly precompressed granular chains. We propose three different set-ups, inspired by the Aubry–André (AA) model, of quasiperiodic chains; and we use these models to compare the …
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Phasonic Spectroscopy of a Quantum Gas in a Quasicrystalline Lattice Open
Phasonic degrees of freedom are unique to quasiperiodic structures and play a central role in poorly understood properties of quasicrystals from excitation spectra to wave function statistics to electronic transport. However, phasons are c…
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Two types of quasiperiodic partial synchrony in oscillator ensembles Open
We analyze quasiperiodic partially synchronous states in an ensemble of Stuart-Landau oscillators with global nonlinear coupling. We reveal two types of such dynamics: in the first case the time-averaged frequencies of oscillators and of t…
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Faceting diagram for sticky steps Open
Faceting diagrams for the step-faceting zone, the step droplet zone, and the Gruber-Mullins-Pokrovsky-Talapov (GMPT) zone for a crystal surface are obtained by using the density matrix renormalization group method to calculate the surface …
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Dynamics of Quasiperiodic Beams Open
Quasiperiodic metastrucures are characterized by edge localized modes of topological nature, which can be of significant technological interest. We here investigate such topological modes for stiffened and sandwich beams, which can be empl…
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STRANGE NONCHAOTIC ATTRACTORS AND MULTISTABILITY IN A TWO-DEGREE-OF-FREEDOM QUASIPERIODICALLY FORCED VIBRO-IMPACT SYSTEM Open
In this work, we initially study the strange nonchaotic dynamics of a two-degree-of-freedom quasiperiodically forced vibro-impact system. It is shown that strange nonchaotic attractors (SNAs) occur between two chaotic regions, but not betw…