Tootfinder

This https://arxiv.org/abs/2411.07189 has been replaced.
initial toot: https://mastoxiv.page/@…

Scale-invariant dynamics in a purely deterministic Game of Life model
Scale invariance is a key feature that characterizes criticality in complex dynamical systems, which often organize into structures exhibiting no typical size and/or lifespan. While random external inputs or tunable stochastic interactions are typically required for showcasing such criticality, the question of whether scale-invariant dynamics can emerge from purely deterministic interactions remains unclear. In this work, we discover highly affirmative signatures of critical dynamics in equal-s…

This https://arxiv.org/abs/2408.01155 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Efficient conversion from fermionic Gaussian states to matrix product states
Fermionic Gaussian states are eigenstates of quadratic Hamiltonians and are widely used in quantum many-body problems. We propose a highly efficient algorithm that converts fermionic Gaussian states to matrix product states. It can be formulated for finite-size systems without translation invariance, but becomes particularly appealing when applied to infinite systems with translation invariance. If the ground states of a topologically ordered system on infinite cylinders are expressed as matrix…