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On holographic time-like entanglement entropy
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On holographic time-like entanglement entropy
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In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value. This paper finds that, if one tries to use such kind of piecewise smooth extremal surfaces to compute time-like entanglement entropy holographically, the complex area is not unique in general. We then generalize the original holographic proposal of space-like entanglement entropy to pick up a unique area from all allowed ``space-like+time-like'' piecewise smooth extremal surfaces for a time-like subregion. We will give some concrete examples to show the correctness of our proposal.
Forward citations
Cited by 11 Pith papers
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Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion
In AdS3, dS3, and AdS4 hyperbolic examples, the Kontsevich-Segal-Witten criterion uniquely selects a three-piece complex contour for timelike extremal surfaces, while timelike strips in AdS4 violate the criterion near...
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Temporal Entanglement from Twist Correlators in 2d Conformal Field Theory and Holography
Timelike entanglement entropy in 2d CFT is defined by time-ordered twist correlators, whose holographic saddles are complex geodesics with smallest real length, and whose imaginary part counts causal-diamond crossings...
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Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents
Late-time linear growth of holographic TEE is governed by an interior critical surface Ac whose existence is guaranteed by NEC under Kasner asymptotics, with vacuum maximizing real growth and minimizing imaginary part.
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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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Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes
Timelike entanglement and subregion complexity detect the cap–horizon transition of localized AdS3×S3×T4 black poles via fixed-boundary-interval Lorentzian branch selection, effects absent in BTZ and large-r limits.
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Extracting conformal data from Loschmidt echoes after critical quenches
Boundary-CFT scaling dimensions and central charge can be reconstructed from the system-size dependence and phase of Loschmidt echoes after a critical quench, bypassing ground-state preparation.
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Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents
In asymptotically AdS black holes with space-like singularities, late-time linear growth of time-like entanglement entropy is governed by a critical extremal surface inside the event horizon, with growth rates bounded...
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Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents
Late-time TEE growth in asymptotically AdS black holes with space-like singularities is governed by a critical extremal surface inside the horizon, with real/imaginary growth rates bounded by Schwarzschild-AdS under e...
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Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems
Generic ergodic Hamiltonian dynamics in quantum Ising chains exhibits a long mesoscopic regime in temporal entanglement that deviates from random-circuit universality, suggesting slow spectral reorganization of the in...
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Photon spheres and bulk probes in $\text{AdS}_3$/$\text{CFT}_2$: the quantum BTZ black hole
Conditions for boundary-anchored geodesics are derived in all branches of the quantum BTZ black hole, supporting a conjecture that photon spheres enable space-like connections between time-like separated boundary points.
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