English

Measurement-induced integer families of critical dynamical scaling in quantum many-body systems

Quantum Gases 2023-08-15 v1 Statistical Mechanics

Abstract

A quantum many-body system can undergo transitions in the presence of continuous measurement. In this work, we find that a generic class of critical dynamical scaling behavior can emerge at these measurement-induced transitions. Remarkably, depending on the symmetry that can be respected by the system, different integer families of dynamical scaling can emerge. The origin of these scaling families can be traced back to the presence of hierarchies of high order exceptional points in the effective non-Hermitian descriptions of the systems. Direct experimental observation of this class of dynamical scaling behavior can be readily achieved using ultracold atoms in optical lattices or through intermediate-scale quantum computing systems.

Keywords

Cite

@article{arxiv.2308.06567,
  title  = {Measurement-induced integer families of critical dynamical scaling in quantum many-body systems},
  author = {Zuo Wang and Shi-Liang Zhu and Li-Jun Lang and Liang He},
  journal= {arXiv preprint arXiv:2308.06567},
  year   = {2023}
}

Comments

4.5 pages (3 figures) + supplemental material (7 figures)