超冷気体を使ってSachdev‐Ye‐Kitaev模型を作りだし精査する: 量子重力の実験的研究へ向けて

A bstract It is known that, for a range of chemical potentials, the infrared behavior of the complex Sachdev-Ye-Kitaev (cSYK) model is governed by a 1D Nearly Conformal Field Theory (NCFT 1 ), thereby realizing a continuous line of NCFTs. A finite chemical potential μ introduces an asymmetry parameter $\mathcal{E}$ E into the cSYK fermion two-point function in the conformal limit. In this work, we compute the cSYK four-point function in the conformal limit for an arbitrary value of $\mathcal{E}$ E at leading order in 1/ N . We show that the result is fully consistent with the NCFT 1 structure of the cSYK model and use it to extract the structure constants for correlation functions of two complex fermions with bilinear operators.A bstract It is known that, for a range of chemical potentials, the infrared behavior of the complex Sachdev-Ye-Kitaev (cSYK) model is governed by a 1D Nearly Conformal Field Theory (NCFT 1 ), thereby realizing a continuous line of NCFTs. A finite chemical potential μ introduces an asymmetry parameter $$ \mathcal{E} $$ E into the cSYK fermion two-point function in the conformal limit. In this work, we compute the cSYK four-point function in the conformal limit for an arbitrary value of $$ \mathcal{E} $$ E at leading order in 1/ N . We show that the result is fully consistent with the NCFT 1 structure of the cSYK model and use it to extract the structure constants for correlation functions of two complex fermions with bilinear operators.

arXiv:2601.04330Journal of High Energy PhysicsSep 2, 20260 citations

Kitaev量子スピン液体の汎関数繰り込み群による研究

Kiyu Fukui

Mar 19, 20210 citations

The Sachdev-Ye-Kitaev model and free Majorana variational states

Daniel Ish, Mark Srednicki

Through a mixture of analytic and numerical techniques, we explore the optimal approximation by a free Majorana state to individual disorder realizations of the Sachdev-Ye-Kitaev model, along with a generalization of it. We elucidate the properties of the known time-reversal symmetry breaking phase in the generalized model, finding strong evidence of "spin glass" order. For the Sachdev-Ye-Kitaev model itself, our results are inconclusive but suggest a similar order may be present at zero temperature.Through a mixture of analytic and numerical techniques, we explore the optimal approximation by a free Majorana state to individual disorder realizations of the Sachdev-Ye-Kitaev model, along with a generalization of it. We elucidate the properties of the known time-reversal symmetry breaking phase in the generalized model, finding strong evidence of "spin glass" order. For the Sachdev-Ye-Kitaev model itself, our results are inconclusive but suggest a similar order may be present at zero temperature.

arXiv:2006.00728Jun 1, 20200 citations

\mathcal{E}

E into the cSYK fermion two-point function in the conformal limit. In this work, we compute the cSYK four-point function in the conformal limit for an arbitrary value of

\mathcal{E}

E at leading order in 1/ N . We show that the result is fully consistent with the NCFT 1 structure of the cSYK model and use it to extract the structure constants for correlation functions of two complex fermions with bilinear operators.