English

Optimal correlations in many-body quantum systems

Quantum Physics 2012-06-20 v3 Statistical Mechanics

Abstract

Information and correlations in a quantum system are closely related through the process of measurement. We explore such relation in a many-body quantum setting, effectively bridging between quantum metrology and condensed matter physics. To this aim we adopt the information-theory view of correlations, and study the amount of correlations after certain classes of Positive-Operator-Valued Measurements are locally performed. As many-body system we consider a one-dimensional array of interacting two-level systems (a spin chain) at zero temperature, where quantum effects are most pronounced. We demonstrate how the optimal strategy to extract the correlations depends on the quantum phase through a subtle interplay between local interactions and coherence.

Keywords

Cite

@article{arxiv.1112.3280,
  title  = {Optimal correlations in many-body quantum systems},
  author = {Luigi Amico and Davide Rossini and Alioscia Hamma and Vladimir E. Korepin},
  journal= {arXiv preprint arXiv:1112.3280},
  year   = {2012}
}

Comments

5 pages, 5 figures + supplementary material. To be published in PRL

R2 v1 2026-06-21T19:51:20.749Z