Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Anegawa, Takanori"'
We consider the thermal behavior of a large number of matrix degrees of freedom in the planar limit. We work in $0+1$ dimensions, with $D$ matrices, and use $1/D$ as an expansion parameter. This can be thought of as a non-commutative large-$D$ vector
Externí odkaz:
http://arxiv.org/abs/2409.05981
Autor:
Anegawa, Takanori, Watanabe, Ryota
We investigate Krylov complexity of the fermion chain operator which consists of multiple Majorana fermions in the double-scaled SYK (DSSYK) model with finite temperature. Using the fact that Krylov complexity is computable from two-point functions,
Externí odkaz:
http://arxiv.org/abs/2407.13293
Autor:
Anegawa, Takanori, Tamaoka, Kotaro
We study timelike and conventional entanglement entropy as potential probes of black hole singularities via the AdS/CFT correspondence. Using an analytically tractable example, we find characteristic behavior of holographic timelike entanglement entr
Externí odkaz:
http://arxiv.org/abs/2406.10968
Krylov complexity has been proposed as a diagnostic of chaos in non-integrable lattice and quantum mechanical systems, and if the system is chaotic, Krylov complexity grows exponentially with time. However, when Krylov complexity is applied to quantu
Externí odkaz:
http://arxiv.org/abs/2401.04383
We study a model of fermions with random couplings similar to conventional SYK with $N$ number of flavours of fermions, at large $N$. Unlike the conventional SYK model, which has all-to-all couplings, the model we study, which we call local SYK, has
Externí odkaz:
http://arxiv.org/abs/2306.01285
Autor:
Anegawa, Takanori, Iizuka, Norihiro, Mukherjee, Arkaprava, Sake, Sunil Kumar, Trivedi, Sandip P.
Publikováno v:
JHEP 11(2023)234
We study a system of $N$ qubits with a random Hamiltonian obtained by drawing coupling constants from Gaussian distributions in various ways. This results in a rich class of systems which include the GUE and the fixed $q$ SYK theories. Our motivation
Externí odkaz:
http://arxiv.org/abs/2305.07505
Autor:
Anegawa, Takanori, Iizuka, Norihiro
We study the holographic complexity in de Sitter spacetime, especially how the hyperfast growth of holographic complexity in de Sitter spacetime is affected under a small and early perturbation. The perturbed geometry is de Sitter spacetime with shoc
Externí odkaz:
http://arxiv.org/abs/2304.14620
We study the late time behavior of $n$-point spectral form factors (SFFs) in two-dimensional Witten-Kontsevich topological gravity, which includes both Airy and JT gravities as special cases. This is conducted in the small $\hbar$ expansion, where $\
Externí odkaz:
http://arxiv.org/abs/2303.10314
Volume complexity in dS$_2$ remains $O(1)$ up to a critical time, after which it suddenly diverges. On the other hand, for the dS$_2$ solution in JT gravity there is a linear dilaton which smoothly grows towards the future infinity. From the dimensio
Externí odkaz:
http://arxiv.org/abs/2303.05025
We previously proposed that entanglement across a planar surface can be obtained from the partition function on a Euclidean hourglass geometry. Here we extend the prescription to spherical entangling surfaces in conformal field theory. We use the pre
Externí odkaz:
http://arxiv.org/abs/2205.01137