Time dependent entanglement entropy in SYK models and page curve
نویسندگان
چکیده
In this work new interaction terms between two SYK models are proposed, which allow to define an picture such that it is possible calculate exactly the vacuum state's time evolution. It shown evolves as a dependent $SU(2)$ squezed state. The entanglement entropy calculated and has same form of Page curve Black Hole formation evaporation.
منابع مشابه
Entanglement entropy in top - down models
We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy ...
متن کاملThe Entanglement Entropy of Solvable Lattice Models
We consider the spin κ/2 analogue of the XXZ quantum spin chain. We compute the entanglement entropy S associated with splitting the infinite chain into two semi-infinite pieces. In the scaling limit, we find S ≃ cκ 6 ln(ξ) + g + · · · . Here ξ is the correlation length and cκ = 3κ κ+2 is the central charge associated with the ŝl2 WZW model at level κ. g is the boundary entropy of the WZW model...
متن کاملReduced density matrices and entanglement entropy in free lattice models
We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a certain free-particle Hamiltonian. We discuss the derivation of this result, the character of the Hamiltonian and its eigenstates, the single-particle spectra and...
متن کاملScalable web page entanglement
We present a proxy-based system for augmenting the capabilities of the World Wide Web. Our system adds two-way association links and automatically removes these links when they break, while the existing web features only one-way links and lingering broken links. Several web augmentation systems have been developed in the past that add two-way links. Our key contribution is in terms of link mana...
متن کاملQuantum Entanglement and Entropy
Entanglement is the fundamental quantum property behind the now popular field of quantum transport of information. This quantum property is incompatible with the separation of a single system into two uncorrelated subsystems. Consequently, it does not require the use of an additive form of entropy. We discuss the problem of the choice of the most convenient entropy indicator, focusing our atten...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 2021
ISSN: ['0370-2693', '1873-2445']
DOI: https://doi.org/10.1016/j.physletb.2021.136340