Twisted Group C*-Algebras as Compact Quantum Metric Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-016-0562-7
Abstract: We construct a class of compact quantum metric spaces. We prove that twisted reduced group C*-algebras for discrete groups with twisted rapid decay property are compact quantum metric spaces, which contain noncommutative tori, hyperbolic reduced… read more here.
Keywords: quantum metric; group algebras; compact quantum; metric spaces ... See more keywords
Quantum Plasmonic Nonreciprocity in Parity-Violating Magnets.
Sign Up to like & getrecommendations! Published in 2022 at "Nano letters"
DOI: 10.1021/acs.nanolett.2c03126
Abstract: The optical responses of metals are often dominated by plasmonic resonances, that is, the collective oscillations of interacting electron liquids. Here we unveil a new class of plasmons─quantum metric plasmons (QMPs)─that arise in a wide… read more here.
Keywords: quantum plasmonic; violating magnets; quantum metric; parity ... See more keywords
Quantum metric for null separated events and spacetime atoms
Sign Up to like & getrecommendations! Published in 2019 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ab0a40
Abstract: Recently, a proposal has been made to figure out the expected discrete nature of spacetime at the smallest scales in terms of atoms of spacetime, capturing their effects through a scalar $\rho$, related to their… read more here.
Keywords: separated events; null separated; quantum metric; spacetime ... See more keywords
Revealing Chern number from quantum metric
Sign Up to like & getrecommendations! Published in 2022 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ac2f2c
Abstract: Chern number is usually characterized by Berry curvature. Here, by investigating the Dirac model of even-dimensional Chern insulator, we give the general relation between Berry curvature and quantum metric, which indicates that the Chern number… read more here.
Keywords: chern number; quantum metric; revealing chern; quantum ... See more keywords
Anomalous Higgs oscillations mediated by Berry curvature and quantum metric
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.l180502
Abstract: Higgs spectroscopy, the study of Higgs bosons of a superconductor, is an emerging field in studying superconductivity. Here we show that the Berry curvature and the quantum metric of bands play a central role in… read more here.
Keywords: quantum metric; mediated berry; curvature; berry curvature ... See more keywords
Quantum-metric-enabled exciton condensate in double twisted bilayer graphene
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.l140506
Abstract: Flat-band systems are a promising platform for realizing exotic collective ground states with spontaneously broken symmetry because the electron-electron interactions dominate the kinetic energy. A state of particular interest would be the chased after interlayer-phase-coherent… read more here.
Keywords: bilayer graphene; twisted bilayer; quantum metric; double twisted ... See more keywords
Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.122.210401
Abstract: A Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is… read more here.
Keywords: metric tensor; quantum metric; topology; quantum ... See more keywords
Generalization Performance of Quantum Metric Learning Classifiers
Sign Up to like & getrecommendations! Published in 2022 at "Biomolecules"
DOI: 10.3390/biom12111576
Abstract: Quantum computing holds great promise for a number of fields including biology and medicine. A major application in which quantum computers could yield advantage is machine learning, especially kernel-based approaches. A recent method termed quantum… read more here.
Keywords: metric learning; quantum metric; quantum; number ... See more keywords