Integrable Mott insulators driven by finite electric field

Abstract

We develop a method for extracting the steady nonequilibrium current from studies of driven isolated systems, applying it to the model of one-dimensional Mott insulator at high temperatures. While in the nonintegrable model the nonequilibrium conditions can be accounted by internal heating, the integrability leads to a strongly nonlinear dc response with vanishingly small dc conductivity in the linear--response regime. The finding is consistent with equilibrium results for dc limit of the optical conductivity determined in the presence of a weak and decreasing perturbation.

References in corpus (11)

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Cited by in corpus (30)

• Finite-temperature transport in one-dimensional quantum lattice models
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Spin transport in the XXZ chain at finite temperature and momentum
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant 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
• Spin transport in the XXZ model at high temperatures: Classical dynamics versus quantum S=1/2 autocorrelations
• Eigenvalue statistics of reduced density matrix during driving and relaxation
• Bond disorder and breakdown of ballistic heat transport in the spin-1/2 antiferromagnetic Heisenberg chain as seen in Ca-doped SrCuO2
• Thermalization of field driven quantum systems
• Current characteristics of a one-dimensional Hubbard chain: The role of correlation and dissipation
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Coexistence of diffusive and ballistic transport in integrable quantum lattice models
• Optimal transport and von Neumann entropy in an Heisenberg XXZ chain out of equilibrium
• Mott insulator breakdown through pattern formation
• Comparison of the Iterated Equation of Motion Approach and the Density Matrix Formalism for the Quantum Rabi Model
• Peltier effect in strongly driven quantum wires
• Non-linear response to electric field in extended Hubbard models
• Relaxation of dynamically prepared out-of-equilibrium initial states within and beyond linear response theory
• Energy and particle currents in a driven integrable system
• Undamped Bloch Oscillations in the $U\to \infty$ one-dimensional Hubbard model
• Thouless approach in transport in integrable and perturbed easy-axis Heisenberg chains
• Reversal of relaxation due to dephasing environment
• Using an artificial electric field to create the analog of the red spot of Jupiter in light-heavy Fermi-Fermi mixtures of ultracold atoms
• Energy current and energy fluctuations in driven quantum wires