Perturbing a quantum black hole

Abstract

We analyze the analytic structure of correlators in the field theory dual to the quantum Bañados-Teitelboim-Zanelli (qBTZ) black hole, a braneworld model incorporating exact backreaction from quantum conformal matter. We first compute the quasi-normal mode (QNM) spectrum of operators with dimension $\Delta$ and spin $s=0,\pm 1/2$. The leading QNMs and their overtones display qualitatively different behavior depending on the branch of qBTZ solution, which corresponds to distinct CFT states: branch 1 is a conical singularity dressed with a horizon while branch 2 is a quantum-corrected BTZ black hole. Consequently, the relaxation of probe matter effectively differentiates the CFT states and identifies the corresponding bulk descriptions. We then turn to pole-skipping locations where Green's functions are not unique. At these points, frequency is proportional to temperature, but momentum exhibits complex temperature dependence due to quantum effects. Under the assumption that the pole-skipping point closest to the origin reflects quantum chaos, we infer the likely behavior of the quantum Lyapunov exponent and butterfly velocity in the dual theory. Finally, we examine pole collisions in complex momentum space, showing that quantum corrections imprint a unique signature on the analytic structure of the poles in retarded Green's functions, resulting in level-crossing phenomena that differ notably from the level-touching phenomena in the uncorrected BTZ geometry.

V2 - Published version. 28 images. 70 pgs. Restructured to focus main document on results

References in corpus (20)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Massive Gravity in Three Dimensions
• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• Real-time response in AdS/CFT with application to spinors
• On the convergence of the gradient expansion in hydrodynamics
• Holographic entanglement entropy and gravitational anomalies
• The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
• Black holes in dS${}_3$
• On Butterfly effect in Higher Derivative Gravities
• On the interplay between magnetic field and anisotropy in holographic QCD
• Pole-skipping and zero temperature
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
• Couplings between Chern-Simons gravities and 2p-branes
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Transient dynamics of quasinormal mode sums
• On the Butterfly Effect in 3D Gravity
• Reconstruction of the quasinormal spectrum from pole-skipping
• Thermodynamic bounce effect in quantum BTZ black hole

Cited by in corpus (2)

• Echoes and quasi-normal modes of perturbations around Schwarzchild traversable wormholes
• Timelike entanglement and central charge for quantum BTZ black holes