Gravitational orbits, double-twist mirage, and many-body scars

Abstract

We explore the implications of stable gravitational orbits around an AdS black hole for the boundary conformal field theory. The orbits are long-lived states that eventually decay due to gravitational radiation and tunneling. They appear as narrow resonances in the heavy-light OPE when the spectrum becomes effectively continuous due to the presence of the black hole horizon. Alternatively, they can be identified with quasi-normal modes with small imaginary part in the thermal two-point function. The two pictures are related via the eigenstate thermalisation hypothesis. When the decay effects can be neglected the orbits appear as a discrete family of double-twist operators. We investigate the connection between orbits, quasi-normal modes, and double-twist operators in detail. Using the corrected Bohr-Sommerfeld formula for quasi-normal modes, we compute the anomalous dimension of double-twist operators. We compare our results to the prediction of the light-cone bootstrap, finding perfect agreement where the results overlap. We also compute the orbit decay time due to scalar radiation and compare it to the tunneling rate. Perturbatively in spin, in the light-cone bootstrap framework double-twist operators appear as a small fraction of the Hilbert space which violate the eigenstate thermalization hypothesis, a phenomenon known as many-body scars. Nonperturbatively in spin, the double-twist operators become long-lived states that eventually thermalize. We briefly discuss the connection between perturbative scars in holographic theories and known examples of scars in the condensed matter literature.

45 pages + appendices, 4 figures. v2: typos corrected and references added

References in corpus (27)

• Probing many-body dynamics on a 51-atom quantum simulator
• Holography from Conformal Field Theory
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Comments on operators with large spin
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• Eta-pairing states as true scars in an extended Hubbard Model
• Dispersive CFT Sum Rules
• Bounds for OPE coefficients on the Regge trajectory
• The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
• Group theoretic approach to many-body scar states in fermionic lattice models
• Degenerate Stars and Gravitational Collapse in AdS/CFT
• Proper time to the black hole singularity from thermal one-point functions
• Rainbow Scars: From Area to Volume Law
• No Ensemble Averaging Below the Black Hole Threshold
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Lightcone Bootstrap at higher points
• Disorder Averaging and its UV (Dis)Contents
• Holographic Correlators at Finite Temperature
• Singularities of thermal correlators at strong coupling
• Thermalization in Large-N CFTs
• Model-Dependence of Minimal-Twist OPEs in $d>2$ Holographic CFTs
• ISCOs in AdS/CFT
• CFT correlators, $\mathcal{W}$-algebras and Generalized Catalan Numbers
• The Regge limit of AdS${}_3$ holographic correlators with heavy states: towards the black hole regime

Cited by in corpus (24)

• Holographic thermal correlators from supersymmetric instantons
• Black hole perturbation theory and multiple polylogarithms
• Superdiffusive Energy Transport in Kinetically Constrained Models
• Bethe-Salpeter equation for classical gravitational bound states
• Estimating global charge violating amplitudes from wormholes
• Toward random tensor networks and holographic codes in CFT
• Thermalization and chaos in a 1+1d QFT
• Holographic open quantum systems: Toy models and analytic properties of thermal correlators
• Thermal Stress Tensor Correlators, OPE and Holography
• Holographic Quantum Scars
• Black hole bulk-cone singularities
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• Stability of the many-body scars in fermionic spin-1/2 models
• Majorana Scars as Group Singlets
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
• Freedom near Lightcone and ANEC Saturation
• Quantum Scars in Quantum Field Theory
• Newton vs. Coulomb in AdS/CFT and the Weak Gravity Conjecture
• A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
• AdS gravastar and bulk-cone singularities
• Lumos Extrema
• Unconventional superconducting correlations in fermionic many-body scars
• Certain BCS wavefunctions are quantum many-body scars