Localization properties and high-fidelity state transfer in hopping models with correlated disorder

Almeida, G. M. A.; Mendes, C.V.C.; Lyra, M. L.; Moura, F. A. B. F. de

doi:10.1016/j.aop.2018.09.003

Cited by 10 publications

(3 citation statements)

References 67 publications

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“…The very coexistence between localized and delocalized states that emerges from the above and similar frameworks provides with the idea of engineering extended states in a disordered background [13,23,27,31,36]. While individual chains with correlated disorder already offers a great deal of selective transport properties-that can be used, for instance, in entanglement distribution [52,53] and quantum-state transfer [54,55] protocols-laterally-coupled channels add more possibilities, given the strength of the interchain hopping as it is able to mix modes with totally different profiles.…”

Section: Discussionmentioning

confidence: 98%

Localization properties of a two-channel 3D Anderson model

Souza

Almeida

Mucciolo³

2020

J. Phys.: Condens. Matter

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We study two coupled 3D lattices, one of them featuring uncorrelated on-site disorder and the other one being fully ordered, and analyze how the interlattice hopping affects the localizationdelocalization transition of the former and how the latter responds to it. We find that moderate hopping pushes down the critical disorder strength for the disordered channel throughout the entire spectrum compared to the usual phase diagram for the 3D Anderson model. In that case, the ordered channel begins to feature an effective disorder also leading to the emergence of mobility edges but with higher associated critical disorder values. Both channels become pretty much alike as their hopping strength is further increased, as expected. We also consider the case of two disordered components and show that in the presence of certain correlations among the parameters of both lattices, one obtains a disorder-free channel decoupled from the rest of the system.

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Section: Discussionmentioning

confidence: 98%

Localization properties of a two-channel 3D Anderson model

Souza

Almeida

Mucciolo³

2020

J. Phys.: Condens. Matter

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“…In addition to uncorrelated Gaussian disorder, we also investigated the influence of correlated disorder of on-site energies (diagonal disorder) on the fidelity of the transfer protocols for the SSH chain. More precisely, we considered the following power-law correlation [39]:…”

Section: Robustness Against Spatially Correlated Disordermentioning

confidence: 99%

Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with next-to-nearest-neighbor interactions

D'Angelis

Pinheiro

Guéry-Odelin

et al. 2020

Phys. Rev. Research

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We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbor (NNN) interactions. The proposed quantum protocol combines a rapid change in the topological edge state, induced by a modulation of nearest-neighbor interactions, with a fine-tuning of NNN interactions operating a counterdiabatic driving which cancels nonadiabatic excitations. We use this shortcut technique on the edge states in order to obtain a quantum state transfer on a single dimerized chain and also through an interface that connects two dimerized Su-Schrieffer-Heeger chains with different topological order. We investigate the robustness of this protocol against both uncorrelated and correlated disorder and demonstrate its strong resilience to the former. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability. In comparison to traditional adiabatic methods, the short transfer time enabled by the NNN protocol in the SSH chains drastically improves the fidelity of the quantum state transfer.

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Section: Robustness Against Correlated Disordermentioning

confidence: 99%

Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions

D'Angelis,

Pinheiro,

Guéry-Odelin

et al. 2020

Preprint

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We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbour (NNN) interactions. The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions, with a fine tuning of NNN interactions operating a counteradiabatic driving. The latter cancels nonadiabatic excitations from the edge state multiplicity to the energy bands. We use this shortcut technique for topological pumping of edge states on a single dimerized chain and also through an interface that connects two dimerized Su-Schrieffer-Heeger chains with different topological order. We investigate the robustness of this protocol against both uncorrelated and correlated disorder, and demonstrate its strong resilience to the former in comparison to traditional adiabatic protocols for topological chains. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.

show abstract

Localization properties and high-fidelity state transfer in hopping models with correlated disorder

Cited by 10 publications

References 67 publications

Localization properties of a two-channel 3D Anderson model

Localization properties of a two-channel 3D Anderson model

Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with next-to-nearest-neighbor interactions

Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions

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