10 papers
A quantitative replica-symmetric bound of Sherrington--Kirkpatrick model in the entire de Almeida--Thouless region
Seiichiro Kusuoka, Shuta Nakajima
We consider the Sherrington--Kirkpatrick model with inverse temperature and deterministic external field . Let be the replica-symmetric fixed point: $q=\mathbb E{\rm…
A note on Lata\la's argument in SK model
Seiichiro Kusuoka, Shuta Nakajima
In this note, we consider the Sherrington--Kirkpatrick model with deterministic external field. Let denote the solution of the replica-symmetric self-consistency equati…
Uniqueness of Replica-symmetric Saddle Point for Ising Perceptron
Shuta Nakajima
We study the replica-symmetric saddle point equations for the Ising perceptron with Gaussian disorder and margin . We prove that for each there is a critical cap…
Waveguide-array-based multiplexed photonic interface for atom array
Yuya Maeda, Toshiki Kobayashi, Takuma Ueno +12
The growing demand for high-capacity quantum communication and large-scale quantum computing underscores the importance of networking quantum processing units via multiplexed photo…
Moderate deviations in first-passage percolation for bounded weights
Wai-Kit Lam, Shuta Nakajima
We investigate the moderate and large deviations in first-passage percolation (FPP) with bounded weights on for . Write for the…
Quantum Chaos, Thermalization, and Non-locality
Masataka Matsumoto, Shuta Nakajima, Masahiro Nozaki +1
In this paper, we numerically investigate whether quantum thermalization occurs during the time evolution induced by a non-local Hamiltonian whose spectra exhibit integrability. Th…