Mott, Floquet, and the response of periodically driven Anderson insulators

Abstract

We consider periodically driven Anderson insulators. The short time behavior for weak, monochromatic, uniform electric fields is given by linear response theory and was famously derived by Mott. We go beyond this to consider both long times---which is the physics of Floquet late time states---and strong electric fields. This results in a `phase diagram' in the frequency-field strength plane, in which we identify four distinct regimes. These are: a linear response regime dominated by pre-existing Mott resonances, which exists provided Floquet saturation is not reached within a period; a non-linear perturbative regime, which exhibits multiphoton-absorption in response to the field; a near-adiabatic regime, which exhibits a primarily reactive response spread over the entire sample and is insensitive to pre-existing resonances; and finally an enhanced dissipative regime.

15 pages, 9 figures

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Many-body localization in periodically driven systems
• Many-Body Localization in a Quasiperiodic System
• Equilibration and Order in Quantum Floquet Matter
• Two universality classes for the many-body localization transition
• Localization and transport in a strongly driven Anderson insulator
• Controlling conductance statistics of quantum wires by driving ac fields
• Dielectric response of Anderson and pseudogapped insulators
• Localization length versus level repulsion in 1-D driven disordered quantum wires
• Wave function correlations and the AC conductivity of disordered wires beyond the Mott-Berezinskii law

Cited by in corpus (6)

• Asymptotically exact theory for nonlinear spectroscopy of random quantum magnets
• Flow Equations for Disordered Floquet Systems
• Localization of matter waves in lattice systems with moving disorder
• Suppressing quantum effects by optically driven nonequilibrium phonons
• Transition between anomalous and Anderson localization in systems with non-diagonal disorder driven by time-periodic fields
• Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: a relay-race mechanism