TY - JOUR

T1 - Lindbladian dynamics of the Sachdev-Ye-Kitaev model

AU - Kulkarni, Anish

AU - Numasawa, Tokiro

AU - Ryu, Shinsei

N1 - Funding Information:
We thank K. Kawabata and J. Li for useful discussions. This work is supported by JST CREST (Grant No. JPMJCR19T3), by the National Science Foundation under Award No. DMR-2001181, and by a Simons Investigator Grant from the Simons Foundation (Award No. 566116). This work is supported by the Gordon and Betty Moore Foundation through Grant No. GBMF8685 toward the Princeton theory program.
Publisher Copyright:
© 2022 American Physical Society.

PY - 2022/8/15

Y1 - 2022/8/15

N2 - We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators. Here, the linear jump operators are nonrandom, while the quadratic jump operators are sampled from a Gaussian distribution. In the limit of large N, where N is the number of Majorana fermion operators, and also in the limit of large N and M, where M is the number of jump operators, the SYK Lindbladians are analytically tractable, and we obtain their stationary Green's functions, from which we can read off the decay rate. For finite N, we also study the distribution of the eigenvalues of the SYK Lindbladians.

AB - We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators. Here, the linear jump operators are nonrandom, while the quadratic jump operators are sampled from a Gaussian distribution. In the limit of large N, where N is the number of Majorana fermion operators, and also in the limit of large N and M, where M is the number of jump operators, the SYK Lindbladians are analytically tractable, and we obtain their stationary Green's functions, from which we can read off the decay rate. For finite N, we also study the distribution of the eigenvalues of the SYK Lindbladians.

UR - http://www.scopus.com/inward/record.url?scp=85137671581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85137671581&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.106.075138

DO - 10.1103/PhysRevB.106.075138

M3 - Article

AN - SCOPUS:85137671581

SN - 2469-9950

VL - 106

JO - Physical Review B

JF - Physical Review B

IS - 7

M1 - 075138

ER -