mathematical-physics / Mathematical Physics, Random Matrices
For the Sachdev-Ye-Kitaev Hamiltonian on $n$ Majorana modes with $k$-body interactions, the paper proves $\mathbb{E}\|H\|_{op} = (1-o(1))\sqrt{2n}/k$ for super-constant $k \le o(\sqrt{n})$, confirming predictions of Garcia-Garcia, Jia and Verbaarschot and answering a question of Feng, Tian and Wei.
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For the Sachdev-Ye-Kitaev Hamiltonian on $n$ Majorana modes with $k$-body interactions, the paper proves $\mathbb{E}\|H\|_{op} = (1-o(1))\sqrt{2n}/k$ for super-constant $k \le o(\sqrt{n})$, confirming predictions of Garcia-Garcia, Jia and Verbaarschot and answering a question of Feng, Tian and Wei.
Research memory
For the Sachdev-Ye-Kitaev Hamiltonian on $n$ Majorana modes with $k$-body interactions, the paper proves $\mathbb{E}\|H\|_{op} = (1-o(1))\sqrt{2n}/k$ for super-constant $k \le o(\sqrt{n})$, confirming predictions of Garcia-Garcia, Jia and Verbaarschot and answering a question of Feng, Tian and Wei.
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