Exotic correlation spread in free-fermionic states with initial patterns
- URL: http://arxiv.org/abs/2112.13382v4
- Date: Fri, 17 Jun 2022 13:59:17 GMT
- Title: Exotic correlation spread in free-fermionic states with initial patterns
- Authors: Sudipto Singha Roy, Giovanni Ram\'irez, Silvia N. Santalla, Germ\'an
Sierra, Javier Rodr\'iguez-Laguna
- Abstract summary: We describe a relation between the light-cone velocities after a quantum quench and the internal structure of the initial state.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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