English

Thermalization and disentanglement with a nonlinear Schr\"{o}dinger equation

Quantum Physics 2022-12-06 v2

Abstract

We study a recently proposed modified Schr\"{o}dinger equation having an added nonlinear term. For the case where a stochastic term is added to the Hamiltonian, the fluctuating response is found to resemble the process of thermalization. Disentanglement induced by the added nonlinear term is explored for a system made of two coupled spins. A butterfly-like effect is found near fully entangled states of the spin-spin system. A limit cycle solution is found when one of the spins is externally driven.

Keywords

Cite

@article{arxiv.2211.16039,
  title  = {Thermalization and disentanglement with a nonlinear Schr\"{o}dinger equation},
  author = {Eyal Buks},
  journal= {arXiv preprint arXiv:2211.16039},
  year   = {2022}
}