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Lectures on entanglement in quantum field theory
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Lectures on entanglement in quantum field theory
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These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four chapters covering the following subjects: Entanglement in quantum field theory, Irreversibility theorems, Energy-entropy bounds, Entanglement and symmetries.
Forward citations
Cited by 17 Pith papers
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Mutual Information from Modular Flow in General CFTs
A hierarchy of approximations to the mutual information in CFTs is derived from modular flow and two-point functions of primaries, providing a high-precision formula for arbitrary ball separations that supersedes prev...
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of double-scaled SYK yield transfer matrices for orthogonal polynomials whose semiclassical chord dynamics map to ER bridges and new geometric transitions in sine dilaton gravity.
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Probing chiral topological states with permutation defects
Permutation defects between wavefunction replicas yield multipartite entanglement measures that capture the chiral central charge from bulk states in chiral topological phases.
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Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap
Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.
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Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity
Timelike entanglement first law holds in Lovelock gravity about AdS, with both entropy and modular Hamiltonian variations carrying the same coupling factor that renormalizes Newton's constant in the linearized equations.
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Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity
In Lovelock gravity duals of holographic CFTs, the timelike entanglement first law for hyperbolic regions is equivalent to the linearized bulk field equations about AdS, via a universal renormalization factor.
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Exact calculation of entanglement negativity for a 1+1D massless scalar field using phase space methods
Exact computation of logarithmic negativity between arbitrary compact regions in 1+1D massless scalar field vacuum via Kähler structure diagonalization of partially-transposed complex structure, reformulated as comple...
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The negativity core of a 1+1D massless scalar quantum field
Analytic computation of logarithmic negativity and closed-form negativity cores for vacuum entanglement between two bounded regions in 1+1D free massless scalar QFT.
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Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-ener...
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Entanglement first law for timelike entanglement entropy and linearized Einstein's equation
For timelike boundary regions, the entanglement first law ΔS = Δ⟨H⟩ is equivalent, by the paper's proof, to the linearized Einstein equations around AdS.
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specif...
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Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory
Derives new state-independent lower bounds on semi-local integrals of null energy flux in QFTs of two and higher dimensions using QNEC, strong subadditivity, and modular Hamiltonians.
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Symmetry resolved entanglement in Lifshitz field theories
Symmetry-resolved entanglement in Lifshitz theories shows approximate equipartition among charge sectors for scalars at large z with configurational entropy dominant, while fermions show genuine equipartition only at ...
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Topological entanglement entropy meets holographic entropy inequalities
Derives conditions for TEE probes, generalizes cyclic and multi-information quantities, and verifies holographic entropy inequalities for gapped topological states.
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Symmetry resolved entanglement in Lifshitz field theories
In Lifshitz scalar chains, charge-resolved entanglement becomes approximately equipartitioned at large z with configurational entropy dominating; in Lifshitz fermion chains, equipartition holds only at z=1 and fluctua...
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Information Loss in Generalized Symmetry Breaking
Anyon condensation is encoded as a conditional expectation between operator algebras, and the information it erases, measured by relative entropy, is claimed to be bounded by the log of the condensate's quantum dimension.
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