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Updated: May 22, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Detecting quantum critical points using bipartite fluctuations.

Stephan Rachel1, Nicolas Laflorencie, H Francis Song

  • 1Department of Physics, Yale University, New Haven, Connecticut 06520, USA.

Physical Review Letters
|May 1, 2012
PubMed
Summary
This summary is machine-generated.

Bipartite fluctuations (F) efficiently detect quantum phase transitions in quantum spin and boson systems. This method offers higher accuracy than entanglement entropy, especially in one dimension, and works in higher dimensions without prior knowledge.

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Last Updated: May 22, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Quantum Many-Body Systems

Background:

  • Detecting quantum phase transitions (QPTs) is crucial for understanding strongly correlated quantum systems.
  • Traditional methods like von Neumann entanglement entropy have limitations in accuracy and applicability.
  • Strongly correlated systems, including quantum spins and bosons, exhibit complex quantum phenomena.

Purpose of the Study:

  • To introduce and validate bipartite fluctuations (F) as an efficient tool for detecting QPTs.
  • To compare the efficacy of F against established methods like entanglement entropy.
  • To explore the applicability of F in various dimensions and for different quantum systems.

Main Methods:

  • Utilized state-of-the-art numerical techniques.
  • Employed analytical arguments to support findings.
  • Investigated paradigmatic models of quantum spins and bosons.

Main Results:

  • Bipartite fluctuations (F) provide a highly efficient method for QPT detection.
  • F achieves significantly higher accuracy in identifying quantum critical points in one dimension compared to entanglement entropy.
  • F successfully detects quantum criticality in higher dimensions, irrespective of the universality class.

Conclusions:

  • Bipartite fluctuations (F) represent a powerful and versatile tool for characterizing quantum phase transitions.
  • The method shows promise for experimental implementation in systems like quantum antiferromagnets and cold gases.
  • F offers a more accurate and broadly applicable approach to quantum criticality than existing measures.