The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
Susskind,Scrambling in Double-Scaled SYK and De Sitter Space,2205.00315
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A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
An SYK-based quantum system reproduces semiclassical correlators of quantum fields in rigid de Sitter space and non-trivial OTOC features including a doubled Lyapunov exponent.
Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.
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The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
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Provable quantum thermalization without statistical averages
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
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Towards a microscopic description of de Sitter dynamics
An SYK-based quantum system reproduces semiclassical correlators of quantum fields in rigid de Sitter space and non-trivial OTOC features including a doubled Lyapunov exponent.
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Von Neumann Algebras in Double-Scaled SYK
Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.