TY - JOUR
T1 - Universal scaling laws for correlation spreading in quantum systems with short- and long-range interactions
AU - Cevolani, Lorenzo
AU - Despres, Julien
AU - Carleo, Giuseppe
AU - Tagliacozzo, Luca
AU - Sanchez-Palencia, Laurent
PY - 2018/7/5
Y1 - 2018/7/5
N2 - The spreading of correlations after a quantum quench is studied in a wide class of lattice systems, with short- and long-range interactions. Using a unifying quasiparticle framework, we unveil a rich structure of the correlation cone, which encodes the footprints of several microscopic properties of the system. When the quasiparticle excitations propagate with a bounded group velocity, we show that the correlation edge and correlation maxima move with different velocities that we derive. For systems with a divergent group velocity, especially relevant for long-range interacting systems, the correlation edge propagates slower than ballistic. In contrast, the correlation maxima propagate faster than ballistic in gapless systems but ballistic in gapped systems. Our results shed light on existing experimental and numerical observations and pave the way to the next generation of experiments. For instance, we argue that the dynamics of correlation maxima can be used as a witness of the elementary excitations of the system.
AB - The spreading of correlations after a quantum quench is studied in a wide class of lattice systems, with short- and long-range interactions. Using a unifying quasiparticle framework, we unveil a rich structure of the correlation cone, which encodes the footprints of several microscopic properties of the system. When the quasiparticle excitations propagate with a bounded group velocity, we show that the correlation edge and correlation maxima move with different velocities that we derive. For systems with a divergent group velocity, especially relevant for long-range interacting systems, the correlation edge propagates slower than ballistic. In contrast, the correlation maxima propagate faster than ballistic in gapless systems but ballistic in gapped systems. Our results shed light on existing experimental and numerical observations and pave the way to the next generation of experiments. For instance, we argue that the dynamics of correlation maxima can be used as a witness of the elementary excitations of the system.
KW - quantum quench
KW - microscopic properties
KW - ballistic
KW - correlation maxima
UR - http://www.scopus.com/inward/record.url?scp=85049809822&partnerID=8YFLogxK
UR - https://hal.archives-ouvertes.fr/hal-01532720
U2 - 10.1103/PhysRevB.98.024302
DO - 10.1103/PhysRevB.98.024302
M3 - Article
AN - SCOPUS:85049809822
VL - 98
JO - Physical Review B: Condensed Matter and Materials Physics
JF - Physical Review B: Condensed Matter and Materials Physics
SN - 1098-0121
M1 - 024302
ER -