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Double Local Quenches in 2D CFTs and Gravitational Force

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arxiv 1905.08265 v3 pith:SGY5CUAL submitted 2019-05-20 hep-th cond-mat.stat-mech

Double Local Quenches in 2D CFTs and Gravitational Force

Pawel Caputa , Tokiro Numasawa , Teppei Shimaji , Tadashi Takayanagi , Zixia Wei This is my paper
classification hep-th cond-mat.stat-mech
keywords localquenchesdoublecftsenergyfindforcegravitational
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we extensively study the dynamics of excited states created by instantaneous local quenches at two different points, i.e., double local quenches. We focus on setups in two dimensional holographic and free Dirac fermion CFTs. We calculate the energy stress tensor and entanglement entropy for double joining and splitting local quenches. In the splitting local quenches we find an interesting oscillating behaviors. Finally, we study the energy stress tensor in double operator local quenches. In all these examples, we find that, in general, there are non-trivial interactions between the two local quenches. Especially, in holographic CFTs, the differences of the above quantities between the double local quench and the simple sum of two local quenches tend to be negative. We interpret this behavior as merely due to gravitational force in their gravity duals.

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Cited by 3 Pith papers

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    Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's enta...

  2. Dynamical Entanglement Phase Transitions in Holographic CFTs

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    In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.

  3. Random matrix theory signatures in free field theory

    hep-th 2025-07 unverdicted novelty 6.0

    In finite-volume massive free scalar field theory after local quench, spacing ratios of two-point function extrema follow GOE statistics and an extrema-based form factor shows RMT dip-ramp-plateau.