One-Half Topological Number in Entangled Quantum Physics [PDF]
Physical Review B, 2023 A topological phase can be engineered in quantum physics from the Bloch sphere of a spin-1/2 showing an hedgehog structure as a result of a radial magnetic field. We elaborate on a relation between the formation of an entangled wavefunction at one pole, in a two-spins model, and an interesting pair of one-half topological numbers.
Karyn Le Hur
semanticscholar +7 more sources
Nondissipative drag conductance as a topological quantum number [PDF]
Physical Review B, 2001 4 pages, no figure. Title modified and significant revision made to the text.
Kun Yang, A. H. MacDonald
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Polarization as a topological quantum number in graphene [PDF]
Physical Review B, 2014 Graphene, with its quantum Hall topological (Chern) number reflecting the massless Dirac particle, is shown to harbor yet another topological quantum number. This is obtained by combining Streda's general formula for the polarization associated with a second topological number in the Diophantine equation for the Hofstadter problem, and the adiabatic ...
Hideo Aoki, Yasuhiro Hatsugai
semanticscholar +6 more sources
Stabilizing multiple topological fermions on a quantum computer [PDF]
npj Quantum Information, 2022 In classical and single-particle settings, non-trivial band topology always gives rise to robust boundary modes. For quantum many-body systems, however, multiple topological fermions are not always able to coexist, since Pauli exclusion prevents ...
Jin Ming Koh +4 more
doaj +2 more sources
Topological quantum number and critical exponent from conductance fluctuations at the quantum Hall plateau transition [PDF]
, 2011 The conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy.
Ion Cosma Fulga +3 more
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Quantum non-Hermitian topological sensors [PDF]
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
doaj +2 more sources
Scattering formula for the topological quantum number of a disordered multimode wire [PDF]
, 2011 The topological quantum number Q of a superconducting or chiral insulating wire counts the number of stable bound states at the end points. We determine Q from the matrix r of reflection amplitudes from one of the ends, generalizing the known result in ...
Ion Cosma Fulga +3 more
openalex +3 more sources
Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators [PDF]
Physical Review Letters, 2021 12 pages, 9 ...
Qing-Xian Lv +11 more
openaire +5 more sources
Bright single-photon skyrmion sources in bullseye cavities [PDF]
NanophotonicsOptical skyrmions, as structured light fields endowed with discrete topological numbers, open new opportunities for high-density encoding, robust information transport, and quantum light–matter interactions.
Ma Jiantao +5 more
doaj +2 more sources
Quantum algorithm for persistent Betti numbers and topological data analysis [PDF]
Quantum, 2022 Topological data analysis (TDA) is an emergent field of data analysis. The critical step of TDA is computing the persistent Betti numbers. Existing classical algorithms for TDA are limited if we want to learn from high-dimensional topological features because the number of high-dimensional simplices grows exponentially in the size of the data.
Ryuuichirou Hayakawa*
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