Parametric instability in periodically driven Luttinger liquids
arXiv:1206.2504 · doi:10.1103/PhysRevB.86.054304
Abstract
We analyze the properties of a Luttinger liquid under the influence of a periodic driving of the interaction strength. Irrespective of the details the driven system develops an instability due to a parametric resonance. For slow and fast driving, however, we identify intermediate long-lived meta-stable states at constant time-averaged internal energies. Due to the instability perturbations in the fermionic density are amplified exponentially leading to the buildup of a superlattice. The momentum distribution develops a terrace structure due to scattering processes that can be associated with the absorption of quanta of the driving frequency.
7 pages, 4 figures
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- The Luttinger model following a sudden interaction switch-on
- Universal theory of nonlinear Luttinger liquids
- Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
- Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
- Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
- Quenching Bloch oscillations in a strongly correlated material
- Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
- Nonlinear current response of an isolated system of interacting fermions
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Photo-induced Tomonaga-Luttinger-like liquid in a Mott insulator
- Interference of parametrically driven one-dimensional ultracold gases