Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
Monika Aidelsburger,Michael Lohse,Christian Schweizer,Marcos Atala,Julio T. Barreiro,Sylvain Nascimbene,Nigel R. Cooper,Immanuel Bloch,Nathan Goldman,Nathan Goldman +9 more
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In this paper, the quantum Hall effect conductance was measured in ultracold atoms subject to artificial gauge fields, and the Chern number was found to be associated with topological phases.Abstract:
Chern numbers characterize the quantum Hall effect conductance—non-zero values are associated with topological phases. Previously only spotted in electronic systems, they have now been measured in ultracold atoms subject to artificial gauge fields.read more
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Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
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Topological insulator laser: Experiments
Miguel A. Bandres,Steffen Wittek,Gal Harari,Midya Parto,Jinhan Ren,Mordechai Segev,Demetrios N. Christodoulides,Mercedeh Khajavikhan +7 more
TL;DR: This work demonstrates an all-dielectric magnet-free topological insulator laser, with desirable properties stemming from the topological transport of light in the laser cavity, and demonstrates higher slope efficiencies compared to those of the topologically trivial counterparts.
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Quantum many-body systems out of equilibrium
TL;DR: In this article, the authors provide an overview of the progress in probing dynamical equilibration and thermalization of closed quantum many-body systems driven out of equilibrium by quenches, ramps and periodic driving.
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Quantum simulations with ultracold atoms in optical lattices
TL;DR: In this article, the authors review recent experimental progress in quantum many-body simulation and comment on future directions, and present a review of the current state-of-the-art in this field.
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Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
TL;DR: In this article, a general overview of the high-frequency regime in periodically driven systems and three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian are identified.
References
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Quantized Hall conductance in a two-dimensional periodic potential
TL;DR: In this article, the Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential, where the Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap.
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Berry phase effects on electronic properties
Di Xiao,Ming Che Chang,Qian Niu +2 more
TL;DR: In this paper, a detailed review of the role of the Berry phase effect in various solid state applications is presented. And a requantization method that converts a semiclassical theory to an effective quantum theory is demonstrated.
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Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
TL;DR: In this paper, an effective single-band Hamiltonian representing a crystal electron in a uniform magnetic field is constructed from the tight-binding form of a Bloch band by replacing the operator of the Schr\"odinger equation with a matrix method, and the graph of the spectrum over a wide range of "rational" fields is plotted.
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Photonic Floquet topological insulators
Mikael C. Rechtsman,Julia M. Zeuner,Yonatan Plotnik,Yaakov Lumer,Daniel K. Podolsky,Felix Dreisow,Stefan Nolte,Mordechai Segev,Alexander Szameit +8 more
TL;DR: This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.
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Experimental realization of the topological Haldane model with ultracold fermions
Gregor Jotzu,Michael Messer,Rémi Desbuquois,Martin Lebrat,Thomas Uehlinger,Daniel Greif,Tilman Esslinger +6 more
TL;DR: The experimental realization of the Haldane model and the characterization of its topological band structure are reported, using ultracold fermionic atoms in a periodically modulated optical honeycomb lattice and a direct extension to realize spin-dependent topological Hamiltonians is proposed.