Exciton transport enhancement across quantum Su-Schrieffer-Heeger lattices with quartic nonlinearity

Mendoza‐Arenas, J. J.; Rojas-Gamboa, D. F.; Plenio, Martin B.; Prior, Javier

doi:10.1103/physrevb.100.104307

Cited by 5 publications

(3 citation statements)

References 52 publications

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“…It remains as an open question whether regimes can be found where the presence of phonons actually accelerates the full relaxation of the electronic system. This connects our work to the question of how inhomogeneities in the phonon sector of an electron-phonon coupled system relax and, more generally, how different channels of energy and charge transport compete in such systems (in the context of the Su-Schrieffer-Heeger model, such questions were discussed in, e.g., [98]).…”

Section: Discussionmentioning

confidence: 65%

“…We find a strong dependence of the transient dynamics on the precise initial state and on the model parameters. As discussed in previous work [29,32,34,37,98], a main effect of an electron-phonon coupling is the slowing down of the dynamics of the electrons compared to a purely electronic system. This is attributed to the formation of polarons which renormalizes the mass of the charge carriers.…”

Section: Discussionmentioning

confidence: 80%

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Charge-density-wave melting in the one-dimensional Holstein model

et al. 2020

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We study the Holstein model of spinless fermions, which at half filling exhibits a quantum phase transition from a metallic Tomonaga-Luttinger liquid phase to an insulating charge-density-wave (CDW) phase at a critical electron-phonon coupling strength. In our work, we focus on the realtime evolution starting from two different types of initial states that are CDW ordered: (i) ideal CDW states with and without additional phonons in the system and (ii) correlated ground states in the CDW phase. We identify the mechanism for CDW melting in the ensuing real-time dynamics and show that it strongly depends on the type of initial state. We focus on the far-from-equilibrium regime and emphasize the role of electron-phonon coupling rather than dominant electronic correlations, thus complementing a previous study of photo induced CDW melting [H. Hashimoto and S. Ishihara, Phys. Rev. B 96, 035154 (2017)]. The numerical simulations are performed by means of matrix-product-state based methods with a local basis optimization (LBO). Within these techniques, one rotates the local (bosonic) Hilbert spaces adaptively into an optimized basis that can then be truncated while still maintaining a high precision. In this work, we extend the time-evolving block decimation (TEBD) algorithm with LBO, previously applied to single-polaron dynamics, to a half-filled system. We demonstrate that in some parameter regimes, a conventional TEBD method without LBO would fail. Furthermore, we introduce and use a ground-state densitymatrix renormalization group method for electron-phonon systems using local basis optimization.In our examples, we account for up to M ph = 40 bare phonons per site by working with O(10) optimal phonon modes.

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Section: Discussionmentioning

confidence: 65%

Section: Discussionmentioning

confidence: 80%

Charge-density-wave melting in the one-dimensional Holstein model

et al. 2020

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“…Further challenging continuations could involve the numerical study of timedependent spectral functions (see, e.g., [80,140]) relevant to time-dependent ARPES experiments [77,78,161,162] or to compute the optical conductivity at finite temperatures (see, e.g., Refs. [28,163,164]).…”

Section: Discussionmentioning

confidence: 99%

Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions

Jansen,

Bonča,

Heidrich-Meisner

2020

Preprint

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We investigate the thermodynamics and finite-temperature spectral functions of the Holstein polaron using a density-matrix renormalization group method. Our method combines purification and local basis optimization (LBO) as an efficient treatment of phonon modes. LBO is a scheme which relies on finding the optimal local basis by diagonalizing the local reduced density matrix. By transforming the state into this basis, one can truncate the local Hilbert space with a negligible loss of accuracy for a wide range of parameters. In this work, we focus on the crossover regime between large and small polarons of the Holstein model. Here, no analytical solution exists and we show that the thermal expectation values at low temperatures are independent of the phonon Hilbert space truncation provided the basis is chosen large enough. We then demonstrate that we can extract the electron spectral function and establish consistency with results from a finite-temperature Lanczos method. We additionally calculate the electron emission spectrum and the phonon spectral function and show that all the computations are significantly simplified by the local basis optimization. We observe that the electron emission spectrum shifts spectral weight to both lower frequencies and larger momenta as the temperature is increased. The phonon spectral function experiences a large broadening and the polaron peak at large momenta gets significantly flattened and merges almost completely into the free-phonon peak.

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Polariton-polariton interaction induced by the hopping effect between two monolayers

Gong

2024

Phys. Scr.

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Investigating the quantum many-body interaction in microcavity semiconductor systems is a significant objective in current research. Hence, in this study, Green's function was employed to investigate the hopping effect between two monolayers denoted as L and R. The interaction between excitons in L monolayer and R monolayer, characterized by spin-like properties, leads to the generation of Josephson currents and emergence of two quasiparticle branches, known as LP+ and LP- polaritons (i.e., two low polariton states). And compared with other papers, such as reference 5, the research shows that presence of hopping interaction and many-body interaction between monolayers causes significant enhancement phenomenon occurs in , which will further reduce the effective mass. This is more conducive to Bose-Einstein condensates (BEC). Furthermore, we investigated the Parity-Time symmetry (PT symmetry) of the system. The PT broken phase transition point will appear when the condition of PT symmetry is satisfied.

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Exciton transport enhancement across quantum Su-Schrieffer-Heeger lattices with quartic nonlinearity

Cited by 5 publications

References 52 publications

Charge-density-wave melting in the one-dimensional Holstein model

Charge-density-wave melting in the one-dimensional Holstein model

Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions

Polariton-polariton interaction induced by the hopping effect between two monolayers

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