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Communications Physics, 2023 Topological insulators hold promises to realize exotic quantum phenomena in electronic, photonic, and phononic systems. Conventionally, topological indices, such as winding numbers, have been used to predict the number of topologically protected domain ...
Amir Rajabpoor Alisepahi +3 more
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Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers [PDF]
SciPost Physics, 2022 Quantum geometry has emerged as a central and ubiquitous concept in quantum sciences, with direct consequences on quantum metrology and many-body quantum physics. In this context, two fundamental geometric quantities are known to play complementary roles:~the Fubini-Study metric, which introduces a notion of distance between quantum states defined over
Mera, Bruno +2 more
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Topological interpretation of quantum numbers [PDF]
Journal of Experimental and Theoretical Physics, 1999 It is shown how one can define vector topological charges for topological exitations of non-linear sigma-models on compact homogeneous spaces T_G and G/T_G (where G is a simple compact Lie group and T_G is its maximal commutative subgroup). Explicit solutions for some cases, their energies and interaction of different topological charges are found.
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Quantum non-Hermitian topological sensors
Physical Review Research, 2022 We investigate in the framework of quantum noise theory how the striking boundary sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be harnessed to devise novel quantum sensors.
Florian Koch, Jan Carl Budich
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Quantum topology in the ultrastrong coupling regime
Scientific Reports, 2022 The coupling between two or more objects can generally be categorized as strong or weak. In cavity quantum electrodynamics for example, when the coupling strength is larger than the loss rate the coupling is termed strong, and otherwise it is dubbed weak.
C. A. Downing, A. J. Toghill
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Exploring Relationship Between Traditional Lattices and Graph Lattices of Topological Coding
Jisuanji kexue yu tansuo, 2021 It is known that there are no polynomial quantum algorithms to solve some lattice difficult problems. Uncolored graphic lattice and colored graphic lattice are the products of multidisciplinary intersection inspired by lattice theory. A uncolored graphic
ZHANG Mingjun, YANG Sihua, YAO Bing
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Experimental classification of quenched quantum walks by dynamical Chern number
Physical Review Research, 2019 Topology has rapidly become one of the central topics in modern physics because of its ability to explain various interesting phenomena, especially in condensed matter physics.
Xiao-Ye Xu +11 more
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Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers [PDF]
Physical Review Letters, 2006 We present a topological description of quantum spin Hall effect (QSHE) in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings. We show that the topology of the band insulator can be characterized by a $2\times 2$ traceless matrix of first Chern integers.
L. Sheng +3 more
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New Journal of Physics, 2021 Magnetic topological states have attracted significant attentions due to their intriguing quantum phenomena and potential applications in topological spintronic devices.
Xiaorong Zou +6 more
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Scattering theory of topological phases in discrete-time quantum walks [PDF]
, 2014 One-dimensional discrete-time quantum walks show a rich spectrum of topological phases that have so far been exclusively analysed in momentum space. In this work we introduce an alternative approach to topology which is based on the scattering matrix of ...
Asboth, J. K. +2 more
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