4 papers
Algebras for generalized entanglement wedges
Abhisek Sahu, Jeremy van der Heijden, Mark Van Raamsdonk +1
In asymptotically AdS spacetimes, the mathematical structure of the set of entanglement wedges reflects the algebraic structure of the underlying holographic description. For more…
Quantum Symmetry and Geometry in Double-Scaled SYK
Jeremy van der Heijden, Erik Verlinde, Jiuci Xu
The emergence of the quantum -matrix in the double-scaled SYK model points to an underlying quantum group structure. In this work, we identify the quantum group $\mathcal{U}_q(\…
Modular chaos, operator algebras, and the Berry phase
Jan de Boer, Bahman Najian, Jeremy van der Heijden +1
Modular Berry transport associates a geometric phase to a zero mode ambiguity in a family of modular operators. In holographic settings, this phase was shown to encode nontrivial i…
The universality class of the first levels in low-dimensional gravity
Alexander Altland, Jeremy van der Heijden, Tobias Micklitz +2
We investigate the physics of a small group of quantum states defined above the sharply defined ground state of a chaotic ensemble. This `universality class of the first levels' (U…