Zeros of the partition function and dynamical singularities in spin-glass systems

ELC International Meeting on Inference, Computation, and Spin Glasses

Takahashi, K.^1 ; Obuchi, T.^2,3

Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan^1

Cybermedia Center, Osaka University, Osaka 560-0043, Japan^2

CNRS, Laboratoire de Physique Theórique, ENS, 24 rue Lhomond, 75005 Paris, France^3

关键词: Complex parameter;    Dynamical singularities;    Partition functions;    Quantum dynamics;    Replica symmetry breakings;    Spin-glass phase;    Spin-glass systems;    Two dimensional distribution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/473/1/012023/pdf
DOI  :  10.1088/1742-6596/473/1/012023

来源: IOP

【 摘 要 】

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 mean-field systems, we show that two-dimensional distributions of zeros of the partition function in a complex parameter plane are characteristic feature of random systems. The results of several models indicate that the concept of chaos in the spin-glass state is different from that of the replica symmetry breaking. We discuss that a chaotic phase at imaginary temperature is different from the spin-glass phase and is accessible by quantum dynamics in a quenching protocol.