Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
暂无分享,去创建一个
Enrico Santamato | Alexandre Dauphin | Vittorio Cataudella | Lorenzo Marrucci | Filippo Cardano | Maciej Lewenstein | Bruno Piccirillo | Alessio D'Errico | Pietro Massignan | M. Lewenstein | L. Marrucci | E. Santamato | V. Cataudella | B. Piccirillo | A. Dauphin | A. D’Errico | F. Cardano | M. Maffei | P. Massignan | C. de Lisio | Maria Maffei | Corrado de Lisio | Giulio De Filippis | G. De Filippis
[1] M. Padgett,et al. Orbital angular momentum: origins, behavior and applications , 2011 .
[2] W. Alt,et al. Robustness of topologically protected edge states in quantum walk experiments with neutral atoms , 2016, 1605.03633.
[3] Zak,et al. Berry's phase for energy bands in solids. , 1989, Physical review letters.
[4] Robert R. Thomson,et al. Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice , 2016, Nature Communications.
[5] Michael Levin,et al. Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems , 2012, 1212.3324.
[6] P. Zoller,et al. Topological quantum matter with ultracold gases in optical lattices , 2016, Nature Physics.
[7] Salvador Elías Venegas-Andraca,et al. Quantum walks: a comprehensive review , 2012, Quantum Information Processing.
[8] M. Rudner,et al. Topological transition in a non-Hermitian quantum walk. , 2008, Physical review letters.
[9] J. Asbóth,et al. Chiral symmetry and bulk{boundary correspondence in periodically driven one-dimensional systems , 2014, 1405.1709.
[10] Gil Refael,et al. Floquet topological insulator in semiconductor quantum wells , 2010, 1008.1792.
[11] Enrico Santamato,et al. Statistical moments of quantum-walk dynamics reveal topological quantum transitions , 2016, Nature Communications.
[12] A. Fert. Nobel Lecture: Origin, development, and future of spintronics , 2008 .
[13] Z. Q. Zhang,et al. Geometric phase and band inversion in periodic acoustic systems , 2015, Nature Physics.
[14] Stefan Nolte,et al. Observation of photonic anomalous Floquet topological insulators , 2017, Nature communications.
[15] B. Halperin. Quantized Hall conductance, current carrying edge states, and the existence of extended states in a two-dimensional disordered potential , 1982 .
[16] anonymous,et al. Comprehensive review , 2019 .
[17] M. Rudner,et al. Topological singularities and the general classification of Floquet–Bloch systems , 2015, 1506.07647.
[18] Klaus von Klitzing,et al. Quantized hall effect , 1983 .
[19] Roderich Moessner,et al. Floquet topological insulators , 2012, 1211.5623.
[20] Hideo Aoki,et al. Photovoltaic Hall effect in graphene , 2008, 0807.4767.
[21] Ebrahim Karimi,et al. Quantum walks and wavepacket dynamics on a lattice with twisted photons , 2014, Science Advances.
[22] Revealing the topology of Hofstadter bands with ultracold bosonic atoms , 2014 .
[23] Stefan Nolte,et al. Observation of a Topological Transition in the Bulk of a Non-Hermitian System. , 2015, Physical review letters.
[24] I. B. Spielman,et al. Visualizing edge states with an atomic Bose gas in the quantum Hall regime , 2015, Science.
[25] B. Gadway,et al. Observation of the topological soliton state in the Su–Schrieffer–Heeger model , 2016, Nature Communications.
[26] P. Zoller,et al. Observation of chiral edge states with neutral fermions in synthetic Hall ribbons , 2015, Science.
[27] N. R. Cooper,et al. Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms , 2014, Nature Physics.
[28] Shinsei Ryu,et al. Classification of topological quantum matter with symmetries , 2015, 1505.03535.
[29] C. Beenakker,et al. A road to reality with topological superconductors , 2016, Nature Physics.
[30] N. Goldman,et al. Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields , 2014, 1404.4373.
[31] Enrico Santamato,et al. Photon spin-to-orbital angular momentum conversion via an electrically tunable q-plate , 2010, 1010.4473.
[32] Takuya Kitagawa,et al. Exploring topological phases with quantum walks , 2010, 1003.1729.
[33] J. Kosterlitz,et al. Kosterlitz–Thouless physics: a review of key issues , 2016, Reports on progress in physics. Physical Society.
[34] Achim Rosch,et al. Real-space imaging of a topologically protected edge state with ultracold atoms in an amplitude-chirped optical lattice , 2016, Nature Communications.
[35] Qian Niu,et al. Berry phase effects on electronic properties , 2009, 0907.2021.
[36] Jiannis K. Pachos,et al. Introduction to Topological Quantum Computation , 2012 .
[37] Hideaki Obuse,et al. Bulk-boundary correspondence for chiral symmetric quantum walks , 2013, 1303.1199.
[38] A. Fert. The origin, development and future of spintronics , 2008 .
[39] Andrew G. White,et al. Observation of topologically protected bound states in photonic quantum walks , 2011, Nature Communications.
[40] F. Marquardt,et al. Topological Phases of Sound and Light , 2014, 1409.5375.
[41] Luis E. F. Foa Torres,et al. Floquet topological transitions in a driven one-dimensional topological insulator , 2015, 1506.03067.
[42] D. Thouless,et al. Quantized Hall conductance in a two-dimensional periodic potential , 1992 .
[43] L. Marrucci,et al. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. , 2006, Physical review letters.
[44] Xue-Feng Zhu,et al. Experimental demonstration of anomalous Floquet topological insulator for sound , 2016, Nature Communications.
[45] Raffaele Resta,et al. MACROSCOPIC POLARIZATION IN CRYSTALLINE DIELECTRICS : THE GEOMETRIC PHASE APPROACH , 1994 .
[46] M. Hafezi,et al. Imaging topological edge states in silicon photonics , 2013, Nature Photonics.
[47] Immanuel Bloch,et al. Direct measurement of the Zak phase in topological Bloch bands , 2012, Nature Physics.
[48] J. Asbóth,et al. Symmetries, topological phases, and bound states in the one-dimensional quantum walk , 2012, 1208.2143.
[49] Andrea Alù,et al. Floquet topological insulators for sound , 2015, Nature Communications.
[50] Marin Soljacic,et al. Topological states in photonic systems , 2016, Nature Physics.
[51] X. Qi,et al. Topological insulators and superconductors , 2010, 1008.2026.
[52] M. Segev,et al. Photonic Floquet topological insulators , 2012, Nature.
[53] Robert B. Laughlin,et al. Quantized Hall conductivity in two-dimensions , 1981 .
[54] G. Dorda,et al. New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance , 1980 .
[55] Andrew G. White,et al. Observation of topologically protected bound states in photonic quantum walks , 2011 .