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Article
Physics, Multidisciplinary
Kazuki Doi et al.
Summary: We study holographic entanglement entropy in dS/CFT and timelike entanglement entropy in CFTs, which both take complex values and are related via analytical continuation. We argue that they should be correctly understood as pseudoentropy. We find that the imaginary part of pseudoentropy implies an emergence of time in dS/CFT.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Particles & Fields
Ze Li et al.
Summary: In this paper, the pseudo entropy of timelike subregions is studied by generalizing the previous smooth space-like extremal surface to include time-like segments, leading to complex-valued area. It is found that, when computing timelike entanglement entropy holographically using such piecewise smooth extremal surfaces, the complex area is not unique in general. To address this, the original holographic proposal for spacelike entanglement entropy is generalized to select a unique area from all allowed space-like+time-like piecewise smooth extremal surfaces for a timelike subregion. Several concrete examples are given to demonstrate the validity of this proposal.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Kazuki Doi et al.
Summary: We introduce a new measure of information called the timelike entanglement entropy (EE), which transforms a spacelike boundary subregion into a timelike one through Wick rotation. We provide an explicit definition of the timelike EE in 2d field theories and perform numerical computations that support the analytic continuation of the replica method for CFTs. We argue that the timelike EE is equivalent to the pseudo entropy, which is the von Neumann entropy of a reduced transition matrix, and suggests the existence of an emergent time described by the imaginary part of the pseudo entropy.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Xin Jiang et al.
Summary: In the context of dS3/CFT2, a timelike entanglement entropy defined by the renormalization group flow is proposed and found to match exactly with the length of a timelike geodesic in dS3. The counterpart of this timelike entanglement entropy in AdS(3) is a spacelike one that extends into the bulk of AdS(3). This discovery indicates the existence of precisely three entanglement entropies in both AdS(3)/CFT2 and dS(3)/CFT2, providing sufficient information to reconstruct the three-dimensional bulk geometry.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
K. Narayan
Summary: We refine previous investigations on de Sitter space and extremal surfaces anchored at the future boundary I+. These surfaces require extra data or boundary conditions in the past and have real and positive areas, except for an overall -i factor relative to spacelike surfaces in AdS. By considering two aspects of time-entanglement in toy models, we find entirely positive structures in a future-past thermofield double type state and complex-valued entropy in the time evolution operator and reduced transition amplitudes.
Article
Physics, Particles & Fields
Yasuaki Hikida et al.
Summary: We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that this correspondence includes various gravity limits and dualities associated with SU(2) and SU(N) WZW models. We confirm the correctness of this correspondence and study two-point functions and entanglement entropy. We also discuss the possible spectrum and quantum corrections in the gravity theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yasuaki Hikida et al.
Summary: This letter proposes a holographic duality for classical gravity on a three-dimensional de Sitter space and presents evidence in terms of classical partition function and conformal field theory.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Ali Mollabashi et al.
Summary: Pseudo-entropy, a quantity dependent on initial and final states, exhibits novel properties such as saturation behavior and non-positivity of difference compared to averaged entanglement entropy. It can serve as a new quantum order parameter, detecting whether states are in the same quantum phase or not. This was numerically observed in free-scalar field theories and the Ising spin chain.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Tatsuma Nishioka et al.
Summary: The paper introduces the concept of topological pseudo entropy and examines its applications in Chern-Simons gauge theory. It demonstrates the equivalence between topological pseudo entropy and interface entropy, and also finds that the topological interface entropy for rational CFTs has a contribution identical to the topological entanglement entropy on a torus.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Yoshifumi Nakata et al.
Summary: A new quantity called pseudo-entropy is introduced in this paper as a generalization of entanglement entropy via postselection, with potential applications as order parameters in quantum many-body systems. The geometric computation of pseudo-entropy in the AdS/CFT correspondence is explored, along with its properties and classifications in qubit systems. Additionally, the quantum information theoretic meaning of pseudo-entropy in specific examples is discussed, as well as its calculation in various scenarios including the presence of local operator excitations in different CFT models.
Article
Physics, Multidisciplinary
Ali Mollabashi et al.
Summary: In this paper, properties of pseudoentropy in quantum field theories and spin systems are explored, revealing basic properties such as area-law behavior, saturation behavior, and the nonpositivity of difference between the pseudoentropy and averaged entanglement entropy. Numerical analysis and analytical arguments support these properties, with exceptions found in certain cases.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Physics, Particles & Fields
Peng Wang et al.
EUROPEAN PHYSICAL JOURNAL C
(2020)
Article
Astronomy & Astrophysics
Dionysios Anninos et al.
CLASSICAL AND QUANTUM GRAVITY
(2017)
Article
Astronomy & Astrophysics
K. Narayan
Article
Astronomy & Astrophysics
K. Narayan
Article
Astronomy & Astrophysics
K. Narayan
Editorial Material
Astronomy & Astrophysics
Yoshiki Sato
Review
Physics, Multidisciplinary
Pasquale Calabrese et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2009)
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Physics, Particles & Fields
Shinsei Ryu et al.
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Physics, Multidisciplinary
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PHYSICAL REVIEW LETTERS
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Physics, Particles & Fields
J Maldacena
JOURNAL OF HIGH ENERGY PHYSICS
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Physics, Multidisciplinary
R Bousso
REVIEWS OF MODERN PHYSICS
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Physics, Particles & Fields
A Strominger
JOURNAL OF HIGH ENERGY PHYSICS
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Physics, Multidisciplinary
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PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
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