Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
Jingjing Niu,Tongxing Yan,Yuxuan Zhou,Ziyu Tao,Xiaole Li,Weiyang Liu,Libo Zhang,Song Liu,Zhongbo Yan,Yuanzhen Chen,Dapeng Yu +10 more
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TLDR
In this paper, 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.Citations
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First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling.
TL;DR: This Letter investigates the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and Dresselhaus spin-orbit coupling within the mean-field level at both zero and finite temperature and suggests new possibilities in interacting spin- orbit coupled systems by unifying both first- and higher-order topological superconductors in a simple but realistic microscopic model.
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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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Low-temperature environments for quantum computation and quantum simulation
TL;DR: This review article summarizes the requirement of low temperature conditions in existing experimental approaches to quantum computation and quantum simulation.
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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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Dynamically characterizing topological phases by high-order topological charges
TL;DR: In this article, the authors proposed a new theory to characterize equilibrium topological phase with non-equilibrium quantum dynamics by introducing the concept of high-order topological charges, with novel phenomena being predicted.
References
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Robust zero-energy modes in an electronic higher-order topological insulator.
S. N. Kempkes,M. R. Slot,J. J. van den Broeke,Pierre Capiod,Wladimir A. Benalcazar,Daniel Vanmaekelbergh,Dario Bercioux,Dario Bercioux,Ingmar Swart,C. Morais Smith +9 more
TL;DR: In this paper, an electronic higher-order topological insulator (HOTI) was realized by manipulating carbon monoxide molecules on a Cu(111) surface using a scanning tunnelling microscope.
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Measuring a Topological Transition in an Artificial Spin- 1 / 2 System
M. D. Schroer,Michael Kolodrubetz,William Kindel,Martin Sandberg,Jiansong Gao,Michael R. Vissers,David P. Pappas,Anatoli Polkovnikov,Konrad Lehnert,Konrad Lehnert +9 more
TL;DR: Measurements of a topological property, the Chern number (C_{1}), of a closed manifold in the space of two-level system Hamiltonians, where the two- level system is formed from a superconducting qubit are presented.
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Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
TL;DR: In this paper, an in-plane magnetic field could drive the superconductor into a second-order topological phase, which features Majorana zero modes, bound at two of the four corners of the system.
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Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
Tao Liu,James Jun He,Franco Nori +2 more
TL;DR: In this article, a second-order TSC with a 2D magnetic topological insulator proximity coupled to a high-temperature superconductor is studied, where Majorana bound states (MBSs) are localized at the corners of a square sample with gapped edge modes.
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Second Order Topological Superconductivity in $π$-Junction Rashba Layers
TL;DR: A Josephson junction bilayer consisting of two tunnel-coupled two-dimensional electron gas layers with Rashba spin-orbit interaction, proximitized by a top and bottom s-wave superconductor with phase difference ϕ close to π can be driven into a second order topological superconducting phase, hosting two Majorana corner states.