Measuring the Winding Number in a Large-Scale Chiral Quantum Walk

Physical Review Letters
Xiao-Ye XuGuang-Can Guo

Abstract

We report the experimental measurement of the winding number in an unitary chiral quantum walk. Fundamentally, the spin-orbit coupling in discrete time quantum walks is implemented via a birefringent crystal collinearly cut based on a time-multiplexing scheme. Our protocol is compact and avoids extra loss, making it suitable for realizing genuine single-photon quantum walks at a large scale. By adopting a heralded single photon as the walker and with a high time resolution technology in single-photon detection, we carry out a 50-step Hadamard discrete-time quantum walk with high fidelity up to 0.948±0.007. Particularly, we can reconstruct the complete wave function of the walker that starts the walk in a single lattice site through the local tomography of each site. Through a Fourier transform, the wave function in quasimomentum space can be obtained. With this ability, we propose and report a method to reconstruct the eigenvectors of the system Hamiltonian in quasimomentum space and directly read out the winding numbers in different topological phases (trivial and nontrivial) in the presence of chiral symmetry. By introducing nonequivalent time frames, we show that whole topological phases in a periodically driven system can a...Continue Reading

References

Aug 1, 1993·Physical Review. a·Y AharonovN Zagury
Aug 16, 2006·Physical Review Letters·D N ShengF D M Haldane
Mar 5, 2009·Physical Review Letters·M S Rudner, L S Levitov
Apr 7, 2010·Physical Review Letters·A SchreiberCh Silberhorn
Jan 15, 2011·Physical Review Letters·David GrossJens Eisert
Jun 4, 2011·Physical Review Letters·A SchreiberCh Silberhorn
Nov 24, 2011·Nature Communications·Yun-Feng HuangGuang-Can Guo
Mar 10, 2012·Science·Andreas SchreiberChristine Silberhorn
Jun 8, 2012·Nature Communications·Takuya KitagawaAndrew G White
Apr 16, 2013·Physical Review Letters·M HeylS Kehrein
Sep 14, 2013·Nature Communications·Youn-Chang JeongYoon-Ho Kim
Oct 15, 2013·Physical Review Letters·Alexandre Dauphin, Nathan Goldman
Apr 22, 2014·Physical Review Letters·O ViyuelaM A Martin-Delgado
Aug 12, 2014·Physical Review Letters·Philipp HaukeAndré Eckardt
Aug 8, 2015·Physical Review Letters·Julia M ZeunerAlexander Szameit
Nov 26, 2015·Science Advances·Filippo CardanoLorenzo Marrucci
Apr 23, 2016·Nature Communications·Filippo CardanoLorenzo Marrucci
Oct 1, 2016·Physical Review Letters·Ying HuJan Carl Budich
Apr 15, 2017·Physical Review Letters·V V RamaseshN Y Yao
Jun 2, 2017·Nature Communications·Filippo CardanoPietro Massignan
Jan 18, 2018·Physical Review Letters·Xiang ZhanPeng Xue

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Citations

Feb 23, 2020·Physical Review Letters·Dizhou XieBo Yan
Jan 30, 2020·Light, Science & Applications·Xiao-Ye XuGuang-Can Guo
Oct 31, 2020·Physical Review Letters·Feng MeiSuotang Jia
Jan 20, 2021·Light, Science & Applications·Xiao-Ye XuGuang-Can Guo

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