Topological Inverse Band Theory in Waveguide Quantum Electrodynamics. [PDF]
Physical Review Letters, 2023 Topological phases play a crucial role in the fundamental physics of light-matter interaction and emerging applications of quantum technologies. However, the topological band theory of waveguide QED systems is known to break down, because the energy ...
Yongguan Ke +4 more
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Nonlinearity-induced topological phase transition characterized by the nonlinear Chern number [PDF]
Nature Physics, 2023 As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize the robust properties of condensed-matter systems immune to the existence of disorder.
K. Sone +4 more
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Zero modes of velocity field and topological invariant in quantum torus
Results in Physics, 2021 We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
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Analyzing Prospects for Quantum Advantage in Topological Data Analysis [PDF]
PRX Quantum, 2022 Lloyd et al. were first to demonstrate the promise of quantum algorithms for computing Betti numbers, a way to characterize topological features of data sets.
D. Berry +9 more
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Simulation of Interaction-Induced Chiral Topological Dynamics on a Digital Quantum Computer. [PDF]
Physical Review Letters, 2022 Chiral edge states are highly sought after as paradigmatic topological states relevant to both quantum information processing and dissipationless electron transport.
Jin Ming Koh, Tommy Tai, Ching Hua Lee
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Quantum Simulation of Topological Zero Modes on a 41-Qubit Superconducting Processor. [PDF]
Physical Review Letters, 2022 Quantum simulation of different exotic topological phases of quantum matter on a noisy intermediate-scale quantum (NISQ) processor is attracting growing interest. Here, we develop a one-dimensional 43-qubit superconducting quantum processor, named Chuang-
Yun-hao Shi +23 more
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Topological phases protected by shifted sublattice symmetry in dissipative quantum systems [PDF]
Physical review B, 2022 Dissipative dynamics of quantum systems can be classified topologically based on the correspondence between the Lindbladian in the Gorini-Kossakowski-Sudarshan-Lindblad equation and the non-Hermitian Hamiltonian in the Schr¨odinger equation. While general
M. Kawasaki, Ken Mochizuki, H. Obuse
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Tunable zero modes and quantum interferences in flat-band topological insulators [PDF]
Quantum, 2021 We investigate the interplay between Aharonov-Bohm (AB) caging and topological protection in a family of quasi-one-dimensional topological insulators, which we term CSSH ladders.
J. Zurita, C. Creffield, G. Platero
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Multi-critical topological transition at quantum criticality
Scientific Reports, 2021 The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter.
Ranjith R. Kumar +3 more
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Connectomes and properties of quantum entanglement
Journal of High Energy Physics, 2023 Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quantum ...
Dmitry Melnikov
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