Quantum Quench for inhomogeneous states in the non-local Luttinger model
arXiv:1411.7967 · doi:10.1103/PhysRevB.91.085123
Abstract
In the Luttinger model with non-local interaction we investigate, by exact analytical methods, the time evolution of an inhomogeneous state with a localized fermion added to the non interacting ground state. In absence of interaction the averaged density has two peaks moving in opposite directions with constant velocities. If the state is evolved with the interacting Hamiltonian two main effects appear. The first is that the peaks have velocities which are not constant but vary between a minimal and maximal value. The second is that a dynamical `Landau quasi-particle weight' appears in the oscillating part of the averaged density, asymptotically vanishing with time, as consequence of the fact that fermions are not excitations of the interacting Hamiltonian.
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- The Luttinger model following a sudden interaction switch-on
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Strongly correlated fermions after a quantum quench
- Quantum quench dynamics of the Luttinger model
- "Light-cone" dynamics after quantum quenches in spin chains
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Fermionization in an expanding 1D gas of hard-core bosons
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
- Luttinger liquid universality in the time evolution after an interaction quench
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Spectral properties of one-dimensional Fermi systems after an interaction quench