Generalized Su-Schrieffer-Heeger Model in One Dimensional Optomechanical Arrays

Xu, Xun-Wei; Zhao, Yan-Jun; Wang, Hui; Chen, Ai-Xi; Liu, Yuxi

doi:10.3389/fphy.2021.813801

Cited by 9 publications

(5 citation statements)

References 93 publications

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“…It would be of interest to apply the analysis to other polaron models, such as the Su-Schrieffer-Heeger model 26 which has direct bearing on topological soliton states 27 , topological insulators, and one-dimensional optomechanical arrays. 28…”

Section: Discussionmentioning

confidence: 99%

Correlating exciton coherence length, localization, and its optical lineshape. I. a finite temperature solution of the Davydov soliton model

Bittner¹,

Silva²,

Shah³

et al. 2022

Preprint

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The lineshape of spectroscopic transitions offer windows into the local environment of a system. Here, we present a novel approach for connecting the lineshape of a molecular exciton to finite-temperature lattice vibrations within the context of the Davydov soliton model (A. S. Davydov and N. I. Kislukha, Phys. Stat. Sol. 59,465(1973)). Our results are based upon a numerically exact, self-consistent treatment of the model in which thermal effects are introduced as fluctuations about the zero-temperature localized soliton state. We find that both the energy fluctuations and the localization can be described in terms of a parameter-free, reduced description by introducing a critical temperature below which exciton self-trapping is expected to be stable. Above this temperature, the self-consistent ansatz relating the lattice distortion to the exciton wavefunction breaks down. Our theoretical model coorelates well with both experimental observations on molecular J-aggregate and resolves one of the critical issues concerning the finite temperature stability of soliton states in alpha-helices and protein peptide chains.

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Section: Discussionmentioning

confidence: 99%

Correlating exciton coherence length, localization, and its optical lineshape. I. a finite temperature solution of the Davydov soliton model

Bittner¹,

Silva²,

Shah³

et al. 2022

Preprint

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show abstract

“…Subsequently, we utilize the standard linearization process, i.e., the operators a n and m n are replaced by a n = a n +δ a n = α n +δ a n and m n = m n +δ m n = β n +δ m n , respectively. [45,68] Through taking out "δ " for all fluctuation operators δ a n and δ m n , the Hamiltonian is given by…”

Section: The Cavity-magnon Systemmentioning

confidence: 99%

High-fidelity topological quantum state transfers in a cavity–magnon system

et al. 2023

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We propose a scheme for realizing high-fidelity topological state transfer via the topological edge states in a one-dimensional cavity-magnon system. We find that the cavity-magnon system can be mapped analytically into the generalized Su-Schrieffer-Heeger model with tunable cavity-magnon coupling. It can be shown that the edge state can be served as a quantum channel to realize the photonic and magnonic state transfers by adjusting the coupling strength between adjacent cavity modes. Further, our scheme can realize the quantum state transfer between photonic state and magnonic state by changing the cavity-magnon coupling strength. With the numerical simulation, we quantitatively show that the photonic, magnonic and magnon-to-photon state transfers can be achieved with high fidelity in the cavity-magnon system. Spectacularly, three different types of quantum state transfer schemes can be even transformed into each other in a controllable fashion. The Su-Schrieffer-Heeger model based on the cavity-magnon system provides us a tunable platform to engineer the transport of photon and magnon, which may have potential applications in topological quantum processing.

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“…Subsequently, we utilize the mean field approximation method to analyse the steady-state dynamics of the cavity-magnon lattice. In other words, the operators a n and m n are replaced by a n = a n + δa n = α n + δa n and m n = m n + δm n = β n + δm n , respectively [67]. After dropping the notation "δ" for all the fluctuation operators δa n (δm n ) [46], the Hamiltonian is given by…”

Section: The Cavity-magnon Chainmentioning

confidence: 99%

Topological state transfers in cavity-magnon system

Bao¹,

Guo²,

Tan³

2022

Preprint

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We propose an experimentally feasible scheme for realizing quantum state transfer via the topological edge states in a one-dimensional cavity-magnon lattice. We find that the cavity-magnon system can be mapped analytically into the generalized Su-Schrieffer-Heeger model with tunable cavity-magnon coupling. It can be shown that the edge state can be served as a quantum channel to realize the photonic and magnonic state transfers by adjusting the cavity-cavity coupling strength. Further, our scheme can realize the quantum state transfer between photonic state and magnonic state by changing the amplitude of the intracell hopping. With a numerical simulation, we quantitatively show that the photonic, magnonic and magnon-to-photon state transfers can be achieved with high fidelity in the cavity-magnon lattice. Spectacularly, the three different types of quantum state transfer schemes can be even transformed to each other in a controllable fashion. This system provides a novel way of realizing quantum state transfer and can be implemented in quantum computing platforms.

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Generalized Su-Schrieffer-Heeger Model in One Dimensional Optomechanical Arrays

Cited by 9 publications

References 93 publications

Correlating exciton coherence length, localization, and its optical lineshape. I. a finite temperature solution of the Davydov soliton model

Correlating exciton coherence length, localization, and its optical lineshape. I. a finite temperature solution of the Davydov soliton model

High-fidelity topological quantum state transfers in a cavity–magnon system

Topological state transfers in cavity-magnon system

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