Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant electric field

Abstract

Using a variational numerical method we compute the time-evolution of the Holstein-Hubbard bipolaron from its ground state when at t=0 the constant electric field is switched on. The system is evolved taking into account full quantum effects until it reaches a quasi-stationary state. In the zero-field limit the current shows Bloch oscillations characteristic for the adiabatic regime where the electric field causes the bipolaron to evolve along the quasiparticle band. Bipolaron remains bound and the net current remains zero in this regime. At larger electric fields the system enters the dissipative regime with a finite steady-state current. Concomitantly, the bipolaron dissociates into two separate polarons. By examining different parameter regimes we show that the appearance of a finite steady-state current is inevitably followed by the dissociation of the bipolaron.

9 pages, 7 figures

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• Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
• Dynamics of screening in photo-doped Mott insulators
• 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
• Photo-induced nonequilibrium states in Mott insulators
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• Time-dependent variational principle with controlled bond expansion for matrix product states
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Thermalization after photoexcitation from the perspective of optical spectroscopy
• Nature of Bosonic Excitations revealed by high-energy charge carriers
• Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths
• Charge and spin correlations of a Peierls insulator after a quench
• Digital-analog quantum computing of fermion-boson models in superconducting circuits
• Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons
• Charge density wave breakdown in a heterostructure with electron-phonon coupling