58 citations · 336 across the 38 of their papers we have counts for
7 papers · 1 filter
Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
Tomoyuki Obuchi, Sei Suzuki, Kazutaka Takahashi
We propose a new computational method of the Loschmidt amplitude in a generic spin system on the basis of the complex semiclassical analysis on the spin-coherent state path integra…
Relative species abundance of replicator dynamics with sparse interactions
Tomoyuki Obuchi, Yoshiyuki Kabashima, Kei Tokita
A theory of relative species abundance on sparsely-connected networks is presented by investigating the replicator dynamics with symmetric interactions. Sparseness of a network inv…
Role of the Finite Replica Analysis in the Mean-Field Theory of Spin Glasses
Tomoyuki Obuchi
In this thesis, we review and examine the replica method from several viewpoints. The replica method is a mathematical technique to calculate general moments of stochastic variable…
Learning probabilities from random observables in high dimensions: the maximum entropy distribution and others
Tomoyuki Obuchi, Simona Cocco, Rémi Monasson
We consider the problem of learning a target probability distribution over a set of binary variables from the knowledge of the expectation values (with this target distribution…
Zeros of the partition function and dynamical singularities in spin-glass systems
Kazutaka Takahashi, Tomoyuki Obuchi
We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in…
Dynamical Singularities of Glassy Systems in a Quantum Quench
Tomoyuki Obuchi, Kazutaka Takahashi
We present a prototype of behavior of glassy systems driven by quantum dynamics in a quenching protocol by analyzing the random energy model in a transverse field. We calculate sev…