Exotic correlation spread in free-fermionic states with initial patterns
arXiv:2112.13382 · doi:10.1103/PhysRevB.105.214306
Abstract
We describe a relation between the light-cone velocities after a quantum quench and the internal structure of the initial state, in the particular case of free fermions on a chain at half filling. The considered states include short-range valence bond solids, i.e., dimerized states, and long-range states such as the rainbow. In all the considered cases the correlations spread into one or a few well-defined light cones, each of them presenting an effective velocity which can be read from the form factor. Interestingly, we find that the observed velocities range from zero to the Fermi velocity and may not always be obtained from the dispersion relation for valid momenta.
arXiv comment14 pages, 9 figures
References in corpus (29)
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Real time confinement following a quantum quench to a non-integrable model
- Entanglement Entropy dynamics in Heisenberg chains
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Entanglement dynamics after quantum quenches in generic integrable systems
- "Light-cone" dynamics after quantum quenches in spin chains
- Photons that travel in free space slower than the speed of light
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Inhomogeneous field theory inside the arctic circle
- Violation of area-law scaling for the entanglement entropy in spin 1/2 chains
- Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
- Entanglement dynamics in short and long-range harmonic oscillators
- Entanglement in a periodic quench
- Quantum quenches from excited states in the Ising chain
- Entanglement over the rainbow
- From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
- More on the rainbow chain: entanglement, space-time geometry and thermal states
- Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
- Light-cone velocities after a global quench in a non-interacting model
- Entanglement-enhanced spreading of correlations
- Entanglement in correlated random spin chains, RNA folding and kinetic roughening
- Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
- Piercing the rainbow: entanglement on an inhomogeneous spin chain with a defect
- Symmetry protected phases in inhomogeneous spin chains
- Entanglement in non-critical inhomogeneous quantum chains
- Fourier-space entanglement of spin chains