In condensed matter physics and black hole physics, the Sachdev–Ye–Kitaev (SYK) model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form.
[2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a close relation with the discrete model of AdS/CFT.
Many condensed matter systems, such as quantum dot coupled to topological superconducting wires,[4] graphene flake with irregular boundary,[5] and kagome optical lattice with impurities,[6] are proposed to be modeled by it.
Some variants of the model are amenable to digital quantum simulation,[7] with pioneering experiments implemented in nuclear magnetic resonance.
which are fermion operators satisfying conditions: Let
be random variables whose expectations satisfy: Then the SYK model is defined as Note that sometimes an extra normalization factor is included.
is included to coincide with the most popular form.