Related Experiment Video
Updated: Jun 22, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Statistics of Schmidt coefficients and the simulability of complex quantum systems
Hannah Venzl1, Andrew J Daley, Florian Mintert
1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.
Abstract:
We show that the transition from regular to chaotic spectral statistics in interacting many-body quantum systems has an unambiguous signature in the distribution of Schmidt coefficients dynamically generated from a generic initial state, and thus limits the efficiency of the time-dependent density-matrix renormalization-group algorithm. We investigate this mechanism on the tilted Bose-Hubbard model; however the emergence of universal spectral properties allows translation of our conclusions to generic many-body quantum systems.
Related Concept Videos
Fundamental Theorem of Algebra
Calculation of First-Law Quantities II
Singularity Functions for Shear
Complex Zeros
State Space Representation
Consider an RLC circuit, a...
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.