Holographic Quantum Scars
arXiv:2212.05962 · doi:10.21468/SciPostPhys.15.3.106
Abstract
We discuss a construction of quantum many-body scars in the context of holography. We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct scarred states. By studying their Loschmidt amplitude, we evaluate the states' periodic properties. A geometrical interpretation allows us to compute the expectation value of the stress tensor and entanglement entropy of these scarred states. We show that their holographic dual is related by a diffeomorphism to empty AdS, even for energies above the black hole threshold. We also demonstrate that expectation values in the scarred states are generally non-thermal and that their entanglement entropy grows with the energy as in contrast to for the typical (bulk) states. Furthermore, we identify fixed points on the CFT plane associated with divergent or vanishing entanglement entropy in the limit where the scarred states have infinite energy.
22 pages + References, 3 figures; The updated version contains new references, added footnotes 4, 11 and 13, and a new remark after the introduction
References in corpus (41)
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- Phenomenology of fully many-body-localized systems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- Hilbert Space Fragmentation and Commutant Algebras
- Observation of many-body scarring in a Bose--Hubbard quantum simulator
- Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
- Quantum Quench from a Thermal Initial State
- Weak Ergodicity Breaking in the Schwinger Model
- Operator growth in 2d CFT
- Geometric approach to inhomogeneous Floquet systems
- Gravitational orbits, double-twist mirage, and many-body scars
- Quantum Many-Body Scars and Quantum Criticality
- Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula
- Phases of scrambling in eigenstates
- Non-Gaussianities in the Statistical Distribution of Heavy OPE Coefficients and Wormholes
- OPE statistics from higher-point crossing
- The fine structure of heating in a quasiperiodically driven critical quantum system
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- From Symmetries to Commutant Algebras in Standard Hamiltonians
- Special-case closed form of the Baker-Campbell-Hausdorff formula
- On the light-ray algebra in conformal field theories
- Phases and dynamics of ultracold bosons in a tilted optical lattice
- Entanglement and geometry from subalgebras of the Virasoro algebra
- Thermalization and chaos in a 1+1d QFT
- ISCOs in AdS/CFT
- Holographic solar systems and hydrogen atoms: non-relativistic physics in AdS and its CFT dual
- An algorithm for the Baker-Campbell-Hausdorff formula
- Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement
- On Local and Integrated Stress-Tensor Commutators
- Marginal quenches and drives in Tomonaga-Luttinger liquids
- Gravity duals of cyclic RG flows, with strings attached
- Time-periodicities in holographic CFTs
- Quantum Scars in Quantum Field Theory
- Integrable Floquet systems related to logarithmic conformal field theory
- Dual Algebraic Pairs and Polynomial Lie Algebras in Quantum Physics: Foundations and Geometric Aspects
Cited by in corpus (11)
- A principle of maximum ignorance for semiclassical gravity
- Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
- Quantum many-body scars in spin models with multibody interactions
- Stability of the many-body scars in fermionic spin-1/2 models
- Majorana Scars as Group Singlets
- Weak chaos and mixed dynamics in the string S-matrix
- Driven Non-Unitary Dynamics of Quantum Critical Systems
- Remarks on effects of projective phase on eigenstate thermalization hypothesis
- Certain BCS wavefunctions are quantum many-body scars
- Periodic revivals from supersymmetry in a fermionic kinetically constrained model
- Unconventional superconducting correlations in fermionic many-body scars