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Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases of matter beyond the Euclidean paradigm. Using real-space…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Anffany Chen , Yifei Guan , Patrick M. Lenggenhager , Joseph Maciejko , Igor Boettcher , Tomáš Bzdušek

Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases were suggested and demonstrated not only for electronic systems, but also for…

The spatiotemporal vortex lattices generated in high Fresnel number solid-state microchip lasers are studied in connection with Talbot phenomenon generic to spatially periodic electromagnetic fields. The spatial layout of light field is…

Pattern Formation and Solitons · Physics 2012-07-17 A. Yu. Okulov

We systematically investigate the ground state phase diagram and the finite temperature phase transitions for a Rydberg-dressed Fermi gas loaded in a bilayer optical lattice. When an effective finite-ranged attraction is induced, our…

Quantum Gases · Physics 2022-08-02 Jiapei Zhuang , Ching-Yu Huang , Po-Yao Chang , Daw-Wei Wang

Engineering synthetic dimensions, where the physics of additional spatial dimensions is simulated within the internal states of a quantum system, allows the realisation of phenomena not otherwise accessible in experiments. Ultracold…

The interplay of topological characteristics in real space and reciprocal space can lead to the emergence of unconventional topological phases. In this Letter, we implement a novel mechanism for generating higher-Chern flat bands on the…

Strongly Correlated Electrons · Physics 2021-11-23 Yifei Guan , Oleg V. Yazyev , Alexander Kruchkov

Topological defects in Bloch bands, such as Dirac points in graphene, and their resulting Berry phases play an important role for the electronic dynamics in solid state crystals. Such defects can arise in systems with a two-atomic basis due…

The ability to navigate light signals in two-dimensional networks of waveguide arrays is a prerequisite for the development of all-optical integrated circuits for information processing and networking. In this article, we present a…

Quantum Physics · Physics 2015-01-15 Georgios M. Nikolopoulos

The exploration of topological states is of significant fundamental and practical importance in contemporary condensed matter physics, for which the extension to two-dimensional (2D) organometallic systems is particularly attractive. Using…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Hyun-Jung Kim , Chaokai Li , Ji Feng , Jun-Hyung Cho , Zhenyu Zhang

Topological photonics has recently been proved a robust framework for manipulating light. Active topological photonic systems, in particular, enable richer fundamental physics by employing nonlinear light-matter interactions, thereby…

In this letter we introduce a novel approach to Hamiltonian tomography of non-interacting tight-binding photonic lattices. To begin with, we prove that the matrix element of the low-energy effective Hamiltonian between sites $i$ and $j$ may…

Quantum Gases · Physics 2017-07-05 Ruichao Ma , Clai Owens , Aman LaChapelle , David I. Schuster , Jonathan Simon

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

Inspired by the recent experimental observation of topological superconductivity in ferromagnetic chains, we consider a dilute 2D lattice of magnetic atoms deposited on top of a superconducting surface with a Rashba spin-orbit coupling. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Joel Röntynen , Teemu Ojanen

We theoretically explore the optical flux lattices produced for ultra-cold atoms subject to laser fields where both the atom-light coupling and the effective detuning are spatially periodic. We analyze the geometric vector potential and the…

Quantum Gases · Physics 2012-12-24 G. Juzeliūnas , I. B. Spielman

We propose a method to generate a real-energy flat band in a two-dimensional (2D) non-Hermitian Lieb lattice. The coincidence of the flat band eigenstate in both real and momentum spaces is essential for the proposed flat band, which is…

Quantum Physics · Physics 2019-10-10 S. M. Zhang , L. Jin

Integrated Jx photonic lattices, inspired by the quantum harmonic oscillator and due to their equidistant eigenvalue spectrum, have been proven extremely useful for various applications, such as perfect imaging and coherent transfer of…

Optics · Physics 2025-01-10 Tom A. W. Wolterink , Matthias Heinrich , Alexander Szameit

We recently proposed in a Letter [Physical Review Letters 108 255303] a novel scheme to detect topological edge states in an optical lattice, based on a generalization of Bragg spectroscopy. The scope of the present article is to provide a…

Quantum Gases · Physics 2013-03-11 Nathan Goldman , Jerome Beugnon , Fabrice Gerbier

We describe how optical dressing can be used to generate bandstructures for ultracold atoms with non-trivial Z_2 topological order. Time reversal symmetry is preserved by simple conditions on the optical fields. We first show how to…

Quantum Gases · Physics 2011-12-21 B. Béri , N. R. Cooper

Quantum technologies, holding the promise of exponentially superior performance than their classical counterparts for certain tasks, have consistently encountered challenges, including instability in quantum light sources, quantum…

Quantum Physics · Physics 2024-03-28 Jun Li , Can-ming Hu , Yaping Yang

We investigate static properties of laser-driven, ultracold Rydberg atoms confined to one- and two-dimensional uniform lattices in the limit of vanishing laser coupling. The spectral structure of square lattices is compared to those of…

Atomic Physics · Physics 2012-06-04 Wolfgang Zeller , Michael Mayle , Thorsten Bonato , Gerhard Reinelt , Peter Schmelcher