English

The Hidden Phase of the Spin-Boson Model

Statistical Mechanics 2022-09-20 v2

Abstract

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact time-evolving matrix product operator approach, we investigate the phase diagram of the polarization dynamics. In addition to the known phases of damped coherent oscillatory dynamics and overdamped decay, we identify a new third region in the phase diagram for strong coupling showing an aperiodic behaviour. We determine the corresponding phase boundaries. The dynamics of the quantum two-state system herein is not coherent by itself but slaved to the oscillatory bath dynamics.

Keywords

Cite

@article{arxiv.2208.10313,
  title  = {The Hidden Phase of the Spin-Boson Model},
  author = {Florian Otterpohl and Peter Nalbach and Michael Thorwart},
  journal= {arXiv preprint arXiv:2208.10313},
  year   = {2022}
}