28 citations · 28 across the 6 of their papers we have counts for
6 papers · 1 filter
Unfolded Krylov complexity: universal chaotic dynamics without false positives
Johanna Erdmenger, Kyoung-Bum Huh, Hyun-Sik Jeong +1
A central challenge in diagnosing quantum chaos is to distinguish genuine many-body scrambling from kinematic effects of the spectrum. Krylov state complexity, or spread complexity…
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…
Probing the Chaos to Integrability Transition in Double-Scaled SYK
Sergio E. Aguilar-Gutierrez, Rathindra Nath Das, Johanna Erdmenger +1
We investigate how a thermodynamical first-order phase transition affects the dynamical chaotic behaviour of a given model. To this effect, we analyze the model of Berkooz, Brukner…
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…
Spread complexity and localization in -symmetric systems
Aranya Bhattacharya, Rathindra Nath Das, Bidyut Dey +1
We present a framework for investigating wave function spreading in -symmetric quantum systems using spread complexity and spread entropy. We consider a tight-binding…
Spread complexity for measurement-induced non-unitary dynamics and Zeno effect
Aranya Bhattacharya, Rathindra Nath Das, Bidyut Dey +1
Using spread complexity and spread entropy, we study non-unitary quantum dynamics. For non-hermitian Hamiltonians, we extend the bi-Lanczos construction for the Krylov basis to the…