scholarly journals Engineering fragile topology in photonic crystals: Topological quantum chemistry of light

2019 ◽  
Vol 1 (3) ◽  
Author(s):  
María Blanco de Paz ◽  
Maia G. Vergniory ◽  
Dario Bercioux ◽  
Aitzol García-Etxarri ◽  
Barry Bradlyn
Keyword(s):  
Photonic Crystals ◽  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Topological quantum chemistry

Nature ◽  
2017 ◽  
Vol 547 (7663) ◽  
pp. 298-305 ◽  
Author(s):  
Barry Bradlyn ◽  
L. Elcoro ◽  
Jennifer Cano ◽  
M. G. Vergniory ◽  
Zhijun Wang ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Graph theory data for topological quantum chemistry

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
M. G. Vergniory ◽  
L. Elcoro ◽  
Zhijun Wang ◽  
Jennifer Cano ◽  
C. Felser ◽  
...  
Keyword(s):  
Graph Theory ◽  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Author Correction: Topological quantum chemistry

Nature ◽  
2020 ◽  
Vol 582 (7812) ◽  
pp. E14-E14
Author(s):  
Barry Bradlyn ◽  
L. Elcoro ◽  
Jennifer Cano ◽  
M. G. Vergniory ◽  
Zhijun Wang ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Towards a topological quantum chemistry description of correlated systems: The case of the Hubbard diamond chain

2021 ◽  
Vol 104 (19) ◽  
Author(s):  
Mikel Iraola ◽  
Niclas Heinsdorf ◽  
Apoorv Tiwari ◽  
Dominik Lessnich ◽  
Thomas Mertz ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Correlated Systems ◽  
Topological Quantum

scholarly journals Band connectivity for topological quantum chemistry: Band structures as a graph theory problem

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Barry Bradlyn ◽  
L. Elcoro ◽  
M. G. Vergniory ◽  
Jennifer Cano ◽  
Zhijun Wang ◽  
...  
Keyword(s):  
Graph Theory ◽  
Quantum Chemistry ◽  
Theory Problem ◽  
Band Structures ◽  
Topological Quantum

scholarly journals Band Representations and Topological Quantum Chemistry

2020 ◽  
Vol 12 (1) ◽  
Author(s):  
Jennifer Cano ◽  
Barry Bradlyn
Keyword(s):  
Quantum Chemistry ◽  
Momentum Space ◽  
Condensed Matter ◽  
Annual Review ◽  
Publication Date ◽  
Symmetry Groups ◽  
Future Developments ◽  
Topological Quantum ◽  
Symmetry Constraints ◽  
Topological Crystalline Insulators

In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties of crystal symmetry groups in position and momentum space. Next, we introduce the concept of a band representation, which quantifies the symmetry of topologically trivial band structures. By combining band representations with symmetry constraints on the connectivity of bands in momentum space, we show how topologically nontrivial bands can be cataloged and classified. We present several examples of new topological phases discovered using this paradigm and conclude with an outlook toward future developments. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 12 is March 10, 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

scholarly journals Topological protection of continuous frequency entangled biphoton states

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Zhen Jiang ◽  
Yizhou Ding ◽  
Chaoxiang Xi ◽  
Guangqiang He ◽  
Chun Jiang
Keyword(s):  
Photonic Crystals ◽  
Four Wave Mixing ◽  
Quantum States ◽  
Wave Mixing ◽  
Special Interests ◽  
Topological Quantum ◽  
Entangled Quantum States ◽  
Entangled Photon Pairs ◽  
Simulation Results ◽  
Continuous Frequency

Abstract Topological quantum optics that manipulates the topological protection of quantum states has attracted special interests in recent years. Here we demonstrate valley photonic crystals implementing topologically protected transport of the continuous frequency entangled biphoton states. We numerically simulate the nonlinear four-wave mixing interaction of topological valley kink states propagating along the interface between two valley photonic crystals. We theoretically clarify that the signal and idler photons generated from the four-wave mixing interaction are continuous frequency entangled. The numerical simulation results imply that the entangled biphoton states are robust against the sharp bends and scattering, giving clear evidence of topological protection of entangled photon pairs. Our proposal paves a concrete way to perform topological protection of entangled quantum states operating at telecommunication wavelengths.

scholarly journals Topological Quantum Optics Using Atomlike Emitter Arrays Coupled to Photonic Crystals

2020 ◽  
Vol 124 (8) ◽  
Author(s):  
J. Perczel ◽  
J. Borregaard ◽  
D. E. Chang ◽  
S. F. Yelin ◽  
M. D. Lukin
Keyword(s):  
Photonic Crystals ◽  
Quantum Optics ◽  
Topological Quantum

scholarly journals Publisher's Note: Graph theory data for topological quantum chemistry [Phys. Rev. E 96 , 023310 (2017)]

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
M. G. Vergniory ◽  
L. Elcoro ◽  
Zhijun Wang ◽  
Jennifer Cano ◽  
C. Felser ◽  
...  
Keyword(s):  
Graph Theory ◽  
Quantum Chemistry ◽  
Topological Quantum
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