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Quantum frequency conversion (QFC) of photonic signals preserves quantum information while simultaneously changing the signal wavelength. A common application of QFC is to translate the wavelength of a signal compatible with the current…

Crystals are paradigms of ordered structures. While order was once seen as synonymous with lattice periodic arrangements, the discoveries of incommensurate crystals and quasicrystals led to a more general perception of crystalline order,…

Disordered Systems and Neural Networks · Physics 2015-06-18 Uwe Grimm

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of periodically driven $p$-spin models, which describe a collection of spin-1/2 particles with all-to-all $p$-body interactions. Given the mean-field nature…

Quantum Physics · Physics 2022-04-14 Manuel H. Muñoz-Arias , Karthik Chinni , Pablo M. Poggi

We investigate the spectral properties and dynamical features of a time-periodic PT-symmetric Hamiltonian on a one-dimensional tight-binding lattice. It is shown that a high-frequency modulation can drive the system under a transition…

Quantum Physics · Physics 2013-06-06 Giuseppe Della Valle , Stefano Longhi

Materials with unusual optical properties are central to advanced control of light. Yet, in nature, such materials may be exceedingly rare and often difficult to obtain. To overcome this limitation, here we introduce the concept of temporal…

Optics · Physics 2026-05-19 Grigorii Ptitcyn , Diego M. Solís , M. S. Mirmoosa , Nader Engheta

We present a study of the lensing properties of two-dimensional (2-D) photonic quasicrystal (PQC) slabs made of dielectric cylinders arranged according to a 12-fold-symmetric square-triangle aperiodic tiling. Our full-wave numerical…

Time photonic crystals have attracted growing attention in recent years owing to their abilities to enable broadband field enhancements, e.g., free-space electromagnetic waves, dipolar emissions, free-electron radiation, etc. While the…

Optics · Physics 2026-03-17 Junkai Jiang , Hao Hu , Yang Long , Liangliang Liu , Songyan Hou , Dongjue Liu , Zhuo Li

We explore the state of matter characterized by the charged timelike vector order parameter. We employ holographic duality in order to construct such a state and study its thermoelectric transport, fermionic spectral function and the sign…

Strongly Correlated Electrons · Physics 2024-07-04 Alexander Krikun , Uriel Elinos

A quantum time crystal (QTC) is a novel quantum mechanical ground state that was recently proposed by Wilczek. Although many QTC models have been proposed, it is not clear yet if such states are possible. We propose the idea that an…

Quantum Physics · Physics 2017-09-28 Keiji Nakatsugawa , Toshiyuki Fujii , Satoshi Tanda

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result,…

Materials Science · Physics 2020-12-08 Oded Zilberberg

We numerically analyze, using Finite Difference Time Domain simulations, the bandgap properties of photonic quasicrystals with a low index contrast. We compared 8-, 10- and 12-fold symmetry aperiodically ordered lattices with different…

Temporal metamaterials, based on time-varying constitutive properties, offer new exciting possibilities for advanced field manipulations. In this study, we explore the capabilities of anisotropic temporal slabs, which rely on abrupt changes…

Optics · Physics 2023-02-23 Carlo Rizza , Giuseppe Castaldi , Vincenzo Galdi

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

Photonic media modulated periodically in time, termed photonic time crystals (PTCs), have attracted considerable attention for their ability to open momentum bandgaps hosting amplifying modes. These momentum gaps, however, generally appear…

We generalize the quantum random walk protocol for a particle in a one-dimensional chain, by using several types of biased quantum coins, arranged in aperiodic sequences, in a manner that leads to a rich variety of possible wave function…

Quantum Physics · Physics 2009-11-10 Pedro Ribeiro , Perola Milman , Remy Mosseri

Topological quantum chemistry (TQC) classifies the topological phases by real-space invariants in which obstructed atomic insulators belong to the trivial case but sometimes show the feature of higher-order topological insulator. Here, for…

Materials Science · Physics 2025-07-02 Hongyu Chen

The search for exotic temporal orders in quantum matter, such as discrete quasi-time crystals (DQTCs), has become an important theme in nonequilibrium physics. However, realizing these phases has so far required complex protocols, such as…

Quantum Physics · Physics 2025-12-12 Xu Feng , Shuo Liu , Shu Chen , Shi-Xin Zhang

Altermagnetism, a novel magnetic phase characterized by symmetry-protected, momentum-dependent spin splitting and collinear compensated magnetic moments, has thus far been explored primarily in periodic crystals. In this Letter, we extend…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Yiming Li , Mingxiang Pan , Jun Leng , Yuxiao Chen , Huaqing Huang

We study prethermal time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflects the geometry of a unit cell of the lattice, we show…

Quantum Physics · Physics 2025-03-25 Lennart Fernandes , Joseph Tindall , Dries Sels