Quantum Phases of Three-Dimensional Chiral Topological Insulators on a Spin Quantum Simulator.
Tao Xin,Yishan Li,Yu-ang Fan,Xuanran Zhu,Yingjie Zhang,Xinfang Nie,Jun Li,Qihang Liu,Dawei Lu +8 more
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TLDR
In this article, the topological properties of three-dimensional topological insulators in the chiral unitary symmetry class were investigated using the nuclear magnetic resonance system, where a dynamical quenching approach was adopted and the dynamical bulk-boundary correspondence in the momentum space was observed.Abstract:
The detection of topological phases of matter has become a central issue in recent years. Conventionally, the realization of a specific topological phase in condensed matter physics relies on probing the underlying surface band dispersion or quantum transport signature of a real material, which may be imperfect or even absent. On the other hand, quantum simulation offers an alternative approach to directly measure the topological invariant on a universal quantum computer. However, experimentally demonstrating high-dimensional topological phases remains a challenge due to the technical limitations of current experimental platforms. Here, we investigate the three-dimensional topological insulators in the AIII (chiral unitary) symmetry class, which yet lack experimental realization. Using the nuclear magnetic resonance system, we experimentally demonstrate their topological properties, where a dynamical quenching approach is adopted and the dynamical bulk-boundary correspondence in the momentum space is observed. As a result, the topological invariants are measured with high precision on the band-inversion surface, exhibiting robustness to the decoherence effect. Our Letter paves the way toward the quantum simulation of topological phases of matter in higher dimensions and more complex systems through controllable quantum phases transitions.read more
Citations
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Simulation of higher-order topological phases and related topological phase Transitions in a Superconducting Qubit
Jingjing Niu,Tongxing Yan,Tongxing Yan,Yuxuan Zhou,Ziyu Tao,Xiaole Li,Weiyang Liu,Libo Zhang,Hao Jia,Liu Song,Zhongbo Yan,Yuanzhen Chen,Dapeng Yu +12 more
TL;DR: In this article, a simulation of a two-dimensional second-order topological phase in a superconducting qubit was carried out, where the pseudo-spin texture was measured in momentum space of the bulk for the first time.
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Unified Theory to Characterize Floquet Topological Phases by Quench Dynamics.
TL;DR: It is shown that the quench dynamics exhibits emergent topological patterns in (d-1)-dimensional momentum subspaces where Floquet bands cross, from which the Floquet topological invariants are directly obtained.
Journal ArticleDOI
Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces
TL;DR: In this article, the authors propose a dynamics-based characterization of one large class of Z-type HOTPs without specifically relying on any crystalline symmetry considerations, and connect quantum quench dynamics with nested configurations of the so-called band inversion surfaces (BISs) of momentum-space Hamiltonians as a sum of operators from the Clifford algebra.
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Quantum Dynamical Characterization and Simulation of Topological Phases With High-Order Band Inversion Surfaces
TL;DR: In this article, an extension of the celebrated bulk-boundary correspondence is proposed and a quantum simulator built with NV centers is experimentally used to prove an enhanced capability for studying topological physics.
Journal ArticleDOI
Topological holographic quench dynamics in a synthetic frequency dimension.
TL;DR: In this paper, a pseudospin model is constructed with ring resonators in a synthetic lattice formed by frequencies of light, and the quench dynamics is induced by initializing a trivial state, which evolves under a topological Hamiltonian.
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Supplementary information for "Quantum supremacy using a programmable superconducting processor"
Frank Arute,Kunal Arya,Ryan Babbush,Dave Bacon,Joseph C. Bardin,Rami Barends,Rupak Biswas,Sergio Boixo,Fernando G. S. L. Brandão,David A. Buell,B. Burkett,Yu Chen,Zijun Chen,Ben Chiaro,Roberto Collins,William Courtney,Andrew Dunsworth,Edward Farhi,Brooks Foxen,Austin G. Fowler,Craig Gidney,Marissa Giustina,R. Graff,Keith Guerin,Steve Habegger,Matthew P. Harrigan,Michael J. Hartmann,Alan Ho,Markus R. Hoffmann,Trent Huang,Travis S. Humble,Sergei V. Isakov,Evan Jeffrey,Zhang Jiang,Dvir Kafri,Kostyantyn Kechedzhi,Julian Kelly,Paul V. Klimov,Sergey Knysh,Alexander N. Korotkov,Fedor Kostritsa,David Landhuis,Mike Lindmark,Erik Lucero,Dmitry I. Lyakh,Salvatore Mandrà,Jarrod R. McClean,Matt McEwen,Anthony Megrant,Xiao Mi,Kristel Michielsen,Masoud Mohseni,Josh Mutus,Ofer Naaman,Matthew Neeley,Charles Neill,Murphy Yuezhen Niu,Eric Ostby,Andre Petukhov,John Platt,Chris Quintana,Eleanor Rieffel,Pedram Roushan,Nicholas C. Rubin,Daniel Sank,Kevin J. Satzinger,Vadim Smelyanskiy,Kevin Sung,Matthew D. Trevithick,Amit Vainsencher,Benjamin Villalonga,Theodore White,Z. Jamie Yao,Ping Yeh,Adam Zalcman,Hartmut Neven,John M. Martinis +76 more
TL;DR: In this paper, an updated version of supplementary information to accompany "Quantum supremacy using a programmable superconducting processor", an article published in the October 24, 2019 issue of Nature, is presented.