Zobrazeno 1 - 10
of 1 384
pro vyhledávání: '"Random Systems"'
Autor:
Ryota Watanabe
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 10, Pp 1-15 (2024)
Abstract We consider the double scaling limit of a model of Pauli spin operators recently studied in Hanada et al. [1] and evaluate the moments of the Hamiltonian by the chord diagrams. We find that they coincide with those of the double scaled SYK m
Externí odkaz:
https://doaj.org/article/d54c03c05bcf413b909bda7d0724aca9
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-46 (2024)
Abstract We formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and naturally incorporates laboratories. The l
Externí odkaz:
https://doaj.org/article/d4c8faecce6f43a1b9e10b184525b2c8
Autor:
Siddharth Jindal, Pavan Hosur
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-59 (2024)
Abstract The eigenstate thermalization hypothesis (ETH) is the leading conjecture for the emergence of statistical mechanics in generic isolated quantum systems and is formulated in terms of the matrix elements of operators. An analog known as the er
Externí odkaz:
https://doaj.org/article/53eb0418928e4295a007f7a0d7883ef1
Autor:
Federico Camia, Yu Feng
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-25 (2024)
Abstract It is believed that the large-scale geometric properties of two-dimensional critical percolation are described by a logarithmic conformal field theory, but it has been challenging to exhibit concrete examples of logarithmic singularities and
Externí odkaz:
https://doaj.org/article/cb852ebfdce146f991ac70b0e19e3d0f
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-49 (2024)
Abstract We consider N $$ \mathcal{N} $$ = 2, 4 supersymmetric SYK models that have a peculiar low energy behavior, with the entropy going like S = S 0 + (constant)T a , where a ≠ 1. The large N equations for these models are a generalization of eq
Externí odkaz:
https://doaj.org/article/31bb0e267d164b07a68790e499739602
Autor:
Yiyang Jia
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-34 (2024)
Abstract We construct a family of near-CFT1 models with a conserved U(1) charge, whose basic degrees of freedom are canonical bosons. The Sachdev-Ye-Kitaev (SYK) model — the first microscopic model that realizes the near-CFT1 dynamics — is based
Externí odkaz:
https://doaj.org/article/1acb5213d8e7420da313a418ac92655e
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-41 (2024)
Abstract We show how to capture both the non-unitary Page curve and replica wormhole-like contributions that restore unitarity in a toy quantum system with random dynamics. The motivation is to find the simplest dynamical model that captures this asp
Externí odkaz:
https://doaj.org/article/d4c9dba37e154beb80eb5dbc6c809296
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 6, Pp 1-45 (2024)
Abstract We propose a novel indicator for chaotic quantum scattering processes, the scattering form factor (ScFF). It is based on mapping the locations of peaks in the scattering amplitude to random matrix eigenvalues, and computing the analog of the
Externí odkaz:
https://doaj.org/article/056cdec766314e64bf78097e7447b3da
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 5, Pp 1-45 (2024)
Abstract Quantifying complexity in quantum systems has witnessed a surge of interest in recent years, with Krylov-based measures such as Krylov complexity (C K ) and Spread complexity (C S ) gaining prominence. In this study, we investigate their int
Externí odkaz:
https://doaj.org/article/e332e8ab09a04822a605ecec5759274c
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 5, Pp 1-30 (2024)
Abstract We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically a
Externí odkaz:
https://doaj.org/article/8a54e42ca09040cdac977b9564655a71