Nonlinear current response of an isolated system of interacting fermions

Abstract

Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a non-integrable case at finite temperatures the major effect of nonlinearity can be taken into account within the linear response formalism extended by a renormalization of the kinetic energy due to the Joule heating. On the other hand, integrable systems show on constant driving a different universality with a damped oscillating current whereby the frequency is related but not equal to the Bloch oscillations.

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Cited by in corpus (40)

• Nonequilibrium dynamical mean-field theory and its applications
• Long-time behavior of periodically driven isolated interacting lattice systems
• Many-Body Localization in the Age of Classical Computing
• Spin-current autocorrelations from single pure-state propagation
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Damping of Bloch oscillations in the Hubbard model
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Sudden expansion of Mott insulators in one dimension
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Field-induced polaron formation in the Holstein-Hubbard model
• Nonequilibrium steady states of the electric-field-driven Mott insulator: Thermalization, emergent Wannier-Stark ladder, and dielectric breakdown
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Ultrafast separation of photo-doped carriers in Mott antiferromagnets
• Integrable Mott insulators driven by finite electric field
• Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant electric field
• Distinctive response of many-body localized systems to strong electric field
• Parametric instability in periodically driven Luttinger liquids
• Coexistence of Anomalous and Normal Diffusion in Integrable Mott Insulators
• Dielectric breakdown of Mott insulators -- doublon production and doublon heating
• Interacting Fermionic Atoms in Optical Lattices Diffuse Symmetrically Upwards and Downwards in a Gravitational Potential
• Unusual Two-stage Dynamics of the Spin-Lattice Polaron Formation
• Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
• Eigenvalue statistics of reduced density matrix during driving and relaxation
• Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Emergent dipole moment conservation and subdiffusion in tilted chains
• Long-living prethermalization in nearly integrable spin ladders
• Peltier effect in strongly driven quantum wires
• Stark-Many body localization in interacting infinite dimensional systems
• Damping of Bloch oscillations: Variational solutions of the Boltzmann equation beyond linear response
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
• Non-linear response to electric field in extended Hubbard models
• Bloch oscillations in the spin-1/2 XXZ chain
• Energy and particle currents in a driven integrable system
• Undamped Bloch Oscillations in the $U\to \infty$ one-dimensional Hubbard model
• Reversal of relaxation due to dephasing environment
• Einstein relation for subdiffusive relaxation in Stark chains
• Energy current and energy fluctuations in driven quantum wires