Quantum Boltzmann equation for strongly correlated electrons

Picano, Antonio; Li, Jiajun; Eckstein, Martin

doi:10.1103/physrevb.104.085108

Cited by 20 publications

(8 citation statements)

References 66 publications

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“…Quantum Boltzmann equation -After the quantum phonon is replaced with a classical stochastic one, one still has to solve the electron impurity model with a time-dependent term ∝ X cl j (t)n j . The time evolution of the electronic system, on each lattice site, is provided by a quantum Boltzmann equation (QBE) for the local energy distribution function F j (ω, t) = G < j (ω, t)/(2πiA j (ω, t)) [42]. The QBE gives an equation ∂ t F j (ω, t) = I j,ω [F ] for the evolution of the distribution, with scattering integral:…”

Section: Methodsmentioning

confidence: 99%

“…In the simulations, we explicitly treat 128 representative sites on the A and B sublattices, which give access on the full distribution of local properties. In order to solve the electron dynamics on timescales which are much longer than the intrinsic electron hopping time, we use a quantum Boltzmann equation consistent with DMFT [42]. The simulation of the electron dynamics is done here explicitly because a priori it is not clear whether electrons locally thermalize in the disordered state.…”

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confidence: 99%

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Inhomogeneous disordering at a photo-induced charge density wave transition

Picano¹,

Grandi²,

Eckstein³

2021

Preprint

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Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the order parameter evolves coherently, with small fluctuations along an average trajectory. Recent experiments, however, indicate that some systems can support a different scenario, named ultrafast inhomogeneous disordering, where the average order parameter is no longer representative of the state on the atomic scale. Here we theoretically show that ultrafast disordering can occur in a paradigmatic model for a Peierls instability if atomic scale inhomogeneities of both the electronic structure and the charge density wave order parameter are taken into account. The latter is achieved using a non-equilibrium generalization of statistical dynamical mean-field theory, coupled to stochastic differential equations for the order parameter.

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Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

Inhomogeneous disordering at a photo-induced charge density wave transition

Picano¹,

Grandi²,

Eckstein³

2021

Preprint

Self Cite

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“…A similar approach is often employed in studies of weakly interacting dynamical systems [129][130][131]. Here, we generalize this approach to the strongly interacting case, without imposing the "onshell" approximation [132]. Crucially, such an approximation would not correctly capture interband scattering, which occurs through high-order processes in U .…”

Section: B the Kinetic Equation And Population Dynamicsmentioning

confidence: 99%

Universal transport in periodically driven systems without long-lived quasiparticles

Esin¹,

Kuhlenkamp²,

Refael³

et al. 2022

Preprint

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An intriguing regime of universal charge transport at high entropy density has been proposed for periodically driven interacting one-dimensional systems with Bloch bands separated by a large single-particle band gap. For weak interactions, a simple picture based on well-defined Floquet quasiparticles suggests that the system should host a quasisteady state current that depends only on the populations of the system's Floquet-Bloch bands and their associated quasienergy winding numbers.Here we show that such topological transport persists into the strongly interacting regime where the single-particle lifetime becomes shorter than the drive period. Analytically, we show that the value of the current is insensitive to interaction-induced band renormalizations and lifetime broadening when certain conditions are met by the system's non-equilibrium distribution function. We show that these conditions correspond to a quasisteady state. We support these predictions through numerical simulation of a system of strongly interacting fermions in a periodically-modulated chain of Sachdev-Ye-Kitaev dots. Our work establishes universal transport at high entropy density as a robust far from equilibrium topological phenomenon, which can be readily realized with cold atoms in optical lattices.

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“…Here the hopping amplitude t ij is the Fourier transform of the dispersion k , and the Coulomb repulsion appears only in the Hubbard interaction U . For weak time-dependent interactions U (t) such models exhibit prethermalization, i.e., on intermediate time scales a metastable state is attained in which quasiparticles are formed, the scattering of which then subsequently leads to thermalization [26,27,28,29,30]. As an application, the prethermalization regime can be used to limit the heating of periodically driven systems [8,9,11].…”

Section: Introduction 1photoexcitation Of Correlated Electronsmentioning

confidence: 99%

Photoinduced prethermalization phenomena in correlated metals

Alexander,

Kollar

2022

Preprint

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We study prethermalization phenomena in weakly interacting Hubbard systems after electric-field pump pulses with finite duration. We treat the Hubbard interaction U up to second order, applying the prethermalization paradigm for time-dependent interaction protocols, and the electric field strength beyond linear order. A scaling behavior with pulse duration is observed for the absorbed energy as well as individual prethermalized momentum occupation numbers, which we attribute to the leading quadratic orders in interaction and electric field. We show that a pronounced non-thermal momentum distribution can be created with pump pulses of suitable resonance frequencies, and discuss how to distinguish them from thermal states.

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Quantum Boltzmann equation for strongly correlated electrons

Cited by 20 publications

References 66 publications

Inhomogeneous disordering at a photo-induced charge density wave transition

Inhomogeneous disordering at a photo-induced charge density wave transition

Universal transport in periodically driven systems without long-lived quasiparticles

Photoinduced prethermalization phenomena in correlated metals

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