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SUMMARY:Local quenches and quantum chaos from higher spin perturbations (Q
uantum Spacetime Seminar)
DTSTART;VALUE=DATE-TIME:20170824T043000Z
DTEND;VALUE=DATE-TIME:20170824T053000Z
DTSTAMP;VALUE=DATE-TIME:20171120T074137Z
UID:indico-event-5827@cern.ch
DESCRIPTION:We study local quenches in 1+1 dimensional conformal field the
ories at large-c by operators carrying higher spin charge. Viewing such st
ates as solutions in Chern-Simons theory\, representing infalling massive
particles with spin-three charge in the BTZ background\, we use the Wilson
line prescription to compute the single-interval entanglement entropy (EE
) and scrambling time following the quench. We find that the change in EE
is finite (and real) only if the spin-three charge q is bounded by the ene
rgy of the perturbation E\, as |q|/c E2/C2. We show that the Wilson line/E
E correlator deep in the quenched regime and its expansion for small quenc
h widths overlaps with the Regge limit for chaos of the out-of-time-ordere
d correlator. We further find that the scrambling time for the two-sided m
utual information between two intervals in the thermofield double state in
creases with increasing spin-three charge\, diverging when the bound is sa
turated. For larger values of the charge\, the scrambling time is shorter
than for pure gravity and controlled by the spin-three Lyapunov exponent 4
π/β. In a CFT with higher spin chemical potential\, dual to a higher spi
n black hole\, we find that the chemical potential must be bounded to ensu
re that the mutual information is a concave function of time and entanglem
ent speed is less than the speed of light. In this case\, a quench with ze
ro higher spin charge yields the same Lyapunov exponent as pure Einstein g
ravity.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5
827
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5827
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