4 citations · 6 across the 5 of their papers we have counts for
5 papers
Wigner negativity in Krylov space and emergent semiclassicality
Vijay Balasubramanian, Pawel Caputa, Onkar Parrikar +1
We propose that the Krylov basis gives a semiclassical representation of dynamics in general large-, complex, many-body systems. As a probe of this semiclassicality, we study th…
Complexity and the Hilbert space dimension of 3D gravity
Vijay Balasubramanian, Rathindra Nath Das, Johanna Erdmenger +2
A central problem in formulating a theory of quantum gravity is to determine the size and structure of the Hilbert space of black holes. Here we use a quantum dynamical Krylov comp…
Spread complexity and the saturation of wormhole size
Vijay Balasubramanian, Javier M. Magan, Poulami Nandi +1
Recent proposals equate the size of Einstein-Rosen bridges in JT gravity to spread complexity of a dual, double-scaled SYK theory (DSSYK). We show that the auxiliary ``chord basis'…
Chaos and integrability in triangular billiards
Vijay Balasubramanian, Rathindra Nath Das, Johanna Erdmenger +1
We characterize quantum dynamics in triangular billiards in terms of five properties: (1) the level spacing ratio (LSR), (2) spectral complexity (SC), (3) Lanczos coefficient varia…
Quantum chaos, integrability, and late times in the Krylov basis
Vijay Balasubramanian, Javier M. Magan, Qingyue Wu
Quantum chaotic systems are conjectured to display a spectrum whose fine-grained features (gaps and correlations) are well described by Random Matrix Theory (RMT). We propose and d…