Transient Dynamics of Super Bloch Oscillations of a 1D Holstein Polaron under the Influence of an External AC Electric Field

Huang, Zhongkai; Hoshina, Masayuki; Ishihara, Hajime; Zhao, Yue

doi:10.1002/andp.201800303

Cited by 16 publications

(10 citation statements)

References 82 publications

(127 reference statements)

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“…A second timely motivation to study nonequilibrium problems in electron-phonon coupled systems stems from the experimental advances with time-resolved spectroscopy [47]. Such experiments have stimulated an increased interest in exploring nonequilibrium dynamics of isolated electron-phonon coupled systems theoretically [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66]. Among them, systems with a single excited electron coupled to phonons (the so-called polaron case) provide a platform for accurate numerical simulations [49,58,60,67,68], allowing us to demonstrate, for certain nonequilibrium protocols, equilibration [52,58] and indications for thermalization [61].…”

Section: Introductionmentioning

confidence: 99%

Eigenstate thermalization and quantum chaos in the Holstein polaron model

et al. 2019

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The eigenstate thermalization hypothesis (ETH) is a successful theory that provides sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried out for Hamiltonians relevant for ultracold quantum gases and single-component systems of spins, fermions, or bosons. The paradigmatic example for thermalization in solid-state physics are phonons serving as a bath for electrons. This situation is often viewed from an open-quantum system perspective. Here, we ask whether a minimal microscopic model for electron-phonon coupling is quantum chaotic and whether it obeys ETH, if viewed as a closed quantum system. Using exact diagonalization, we address this question in the framework of the Holstein polaron model. Even though the model describes only a single itinerant electron, whose coupling to dispersionless phonons is the only integrability-breaking term, we find that the spectral statistics and the structure of Hamiltonian eigenstates exhibit essential properties of the corresponding random-matrix ensemble. Moreover, we verify the ETH ansatz both for diagonal and offdiagonal matrix elements of typical phonon and electron observables, and show that the ratio of their variances equals the value predicted from random-matrix theory.

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Section: Introductionmentioning

confidence: 99%

Eigenstate thermalization and quantum chaos in the Holstein polaron model

et al. 2019

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“…The multi-D 2 Ansatz has been employed to study static properties and dynamic processes in a variety of toy models and realistic systems, demonstrating excellent numerical efficiency and accuracy in a broad parameter regime in the presence of both diagonal and off-diagonal systembath couplings [39,53,55,59,[61][62][63]. Previous studies have also demonstrated the suitability and accuracy of the multi-D 2 Ansatz for similar driven QED systems [38].…”

Section: B the Multi-d2 Ansatzmentioning

confidence: 99%

Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode

Zheng,

Shen,

Sun

et al. 2021

Preprint

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We investigate multiple photon-assisted Landau-Zener (LZ) transitions in a hybrid circuit quantum electrodynamics device in which each of two interacting transmission-line resonators is coupled to a qubit, and the qubits are driven by periodic driving fields and also coupled to a common phonon mode. The quantum state of the entire composite system is modeled using the multi-D2 Ansatz in combination with the time-dependent Dirac-Frenkel variational principle. Applying a sinusoidal driving field to one of the qubits, this device is an ideal platform to study the photon-assisted LZ transitions by comparing the dynamics of the two qubits. A series of interfering photon-assisted LZ transitions take place if the photon frequency is much smaller than the driving amplitude. Once the two energy scales are comparable, independent LZ transitions arise and a transition pathway is revealed using an energy diagram. It is found that both adiabatic and nonadiabatic transitions are involved in the dynamics. Used to model environmental effects on the LZ transitions, the common phonon mode coupled to the qubits allows for more available states to facilitate the LZ transitions. An analytical formula is obtained to estimate the short-time phonon population and produces results in reasonable agreement with numerical calculations. Equipped with the knowledge of the photonassisted LZ transitions in the system, we can precisely manipulate the qubit state and successfully generate the qubit dynamics with a square-wave pattern by applying driving fields to both qubits, opening up new venues to manipulate the states of qubits and photons in quantum information devices and quantum computers.

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“…The multiple Davydov D 2 Ansatz with multiplicity M are essentially M copies of the single Davydov D 2 Ansatz [33,34]. It is also known as the multi-D 2 Ansatz, and has been employed to study static and dynamic properties of various systems, producing excellent numerical efficiency and accuracy in a broad parameter regime in the presence of both diagonal and off-diagonal coupling [13,[26][27][28][35][36][37][38][39][40]. In this work, the multi-D 2 Ansatz is employed to treat accurately both the off-diagonal qubit-photon coupling and the diagonal qubit-phonon system-bath coupling in Eq.…”

Section: B the Multi-d2 Ansatzmentioning

confidence: 99%

Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving

Huang

Zheng

Zhang

et al. 2019

The Journal of Chemical Physics

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Recent progress on qubit manipulation allows application of periodic driving signals on qubits. In this study, a harmonic driving field is added to a Rabi dimer to engineer photon and qubit dynamics in a circuit quantum electrodynamics device. To model environmental effects, qubits in the Rabi dimer are coupled to a phonon bath with a sub-Ohmic spectral density. A non-perturbative treatment, the Dirac-Frenkel time-dependent variational principle together with the multiple Davydov D2 Ansatz is employed to explore the dynamical behavior of the tunable Rabi dimer. In the absence of the phonon bath, the amplitude damping of the photon number oscillation is greatly suppressed by the driving field, and photons can be created thanks to resonances between the periodic driving field and the photon frequency. In the presence of the phonon bath, one still can change the photon numbers in two resonators, and indirectly alter the photon imbalance in the Rabi dimer by directly varying the driving signal in one qubit. It is shown that qubit states can be manipulated directly by the harmonic driving. The environment is found to strengthen the interqubit asymmetry induced by the external driving, opening up a new venue to engineer the qubit states. arXiv:1905.06272v1 [quant-ph]

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Transient Dynamics of Super Bloch Oscillations of a 1D Holstein Polaron under the Influence of an External AC Electric Field

Cited by 16 publications

References 82 publications

Eigenstate thermalization and quantum chaos in the Holstein polaron model

Eigenstate thermalization and quantum chaos in the Holstein polaron model

Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode

Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving

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