Topologically Protected Quantum Coherence in a Superatom

Nie, Wei; Peng, Zhaohui; Nori, Franco; Liu, Yuxi

doi:10.1103/physrevlett.124.023603

Cited by 51 publications

(30 citation statements)

References 98 publications

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“…Blended orbitals clearly offer novel possibilities not yet fully explored. Moreover, such blended nonbonding orbitals seem to be what is described [ 36–38 ] in the physics literature as “topological insulators,” which nevertheless conduct along the boundary, and to be, [ 91–97 ] a “topologically protected” feature (see also, refs. [62,65]).…”

Section: Edge States On Translationally Symmetric Graphene Boundariesmentioning

confidence: 99%

Conjugated‐carbon nanostructures: Emergences

Klein

Ortiz

Bytautas

2020

Int J of Quantum Chemistry

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General emergent features of conjugated-carbon nanostructures are sought. Here, "general" indicates applicability over a broad class of such structures, including graphene and buckytubes, possibly with boundaries or other sorts of defects or decorations, or rather general substructures of graphene or of buckytubes. In addition, "emergent" means that different characteristics and properties are novel and are evidenced from different models, for example, from resonance theory and Hückel theory, preferably with evidence that the features persist upon elaboration. One robust emergent feature is "Dirac cones" in the band structure of graphene and some related materials. Another interesting feature is novel "blended" boundary orbitals that are delocalized longitudinally along the boundary direction while being variably localized in the transverse direction. Furthermore, defects at the ends of polymer chains may be localized or delocalized depending on local features-although the ideas apply more widely to different conjugated-carbon structures including molecules. Explicit formulas are derived to elucidate the asymptotic behavior of unpaired electron density at the ends of selected benzenoid polymers and its relation to the associated HOMO-LUMO gap. Our approach offers a general framework to understand ab initio results, which may, at first sight, appear to be unconventional or counterintuitive to some common ideas of bonding patterns in conjugated carbon nanostructures. K E Y W O R D S carbon nanostructures, electronic structure for conjugated carbon nanostructures, graphene 1 | INTRODUCTION The human use of conjugated-carbon nanostructures predates recorded history, with coal, charcoal, and peat used as fuels or as feedstock for colorants. Within the last two centuries, different benzenoids (often derived from coal) played an important role in the industrial revolution, providing feedstocks, dyes, plastics, and drugs, and also played a central role in the development of organic chemistry and the general idea of molecular structure.

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Section: Edge States On Translationally Symmetric Graphene Boundariesmentioning

confidence: 99%

Conjugated‐carbon nanostructures: Emergences

Klein

Ortiz

Bytautas

2020

Int J of Quantum Chemistry

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“…Depending on the specific geometry of the system, the scattering coefficients can be readily obtained by taking the mean value of the field operators in Eqs. ( 17)- (18) for hanger-type resonators, or in Eqs. ( 37)- (38) for necklace-or bridge-type resonators.…”

Section: The Bridge-type λ/2 Resonatorsmentioning

confidence: 99%

“…Understanding the scattering coefficients of superconducting microwave resonators is crucial to the study of superconducting quantum circuits [1]. Owing to the high design flexibility and the strong interactions, a variety of novel photon transport properties emerge when coupling a microwave resonator to other circuit components [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. For example, it is shown that a dissipative atom can completely reflect the photons propagating along a 1D waveguide with no loss [2][3][4], although the physical size of the atom is much smaller than the wavelength of the propagating microwave field.…”

Section: Introductionmentioning

confidence: 99%

The scattering coefficients of superconducting microwave resonators: II. System-bath approach

Chen¹,

Partanen²,

Fesquet³

et al. 2021

Preprint

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We describe a unified quantum approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. We also generalize the method to a chain of resonators in either hanger-or necklace-type, and reveal interesting transport properties similar to a photonic crystal. It is shown that both the quantum and classical analyses provide consistent results, and they together form a solid basis for analyzing the decoherence effect in a general microwave resonator. These results pave the way for designing and applying superconducting microwave resonators in complex circuits, and should stimulate the interest of distinguishing different decoherence mechanisms of a resonator mode beyond free energy relaxation.

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“…For example, many-body localization [37,38], Mott insulator of photons [40] and correlated quantum walk [41] are observed in 1D qubit arrays. With these experimental achievements, superconducting qubit systems are hopeful to simulate topological matter [42][43][44][45][46].…”

mentioning

confidence: 99%

“…Vacuum Rabi splitting for resonant coupling between the cavity and edge modes-. To show how to manipulate the qubit array by the quantized field in the cavity, we rewrite the states |A i and |B i of qubits A and B in the ith unit cell via eigenstates |Ψ j in the singleexcitation subspace of the qubit array [46], i.e.,…”

mentioning

confidence: 99%

Bandgap-assisted quantum control of topological edge states in a cavity

Nie

Liu

2020

Phys. Rev. Research

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Quantum matter with exotic topological order has potential applications in quantum computation. However, in present experiments, the manipulations on topological states are still challenging. We here propose an architecture for quantum control of topological matter. We consider a topological superconducting qubit array with Su-Schrieffer-Heeger (SSH) Hamiltonian which couples to a microwave cavity. The light-matter interactions are analyzed by exploiting topological bandgap in the qubit array. With proper cavity-qubits couplings, edge states and topological phase transition can be spectroscopically probed by the cavity. And the reflection spectrum shows a signature of vacuum Rabi splitting for edge states. Moreover, with the protection of topological bandgap, cavity induces nonlocal interaction between edge states. Quantum interference of emissions from two edge states is discussed. Our work may pave a way for topological quantum state engineering.

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Topologically Protected Quantum Coherence in a Superatom

Cited by 51 publications

References 98 publications

Conjugated‐carbon nanostructures: Emergences

Conjugated‐carbon nanostructures: Emergences

The scattering coefficients of superconducting microwave resonators: II. System-bath approach

Bandgap-assisted quantum control of topological edge states in a cavity

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