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Higher-Form Symmetries under Weak Measurement.

Kaixiang Su1, Nayan Myerson-Jain1, Chong Wang2

  • 1Department of Physics, University of California, Santa Barbara, California 93106, USA.

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Summary
This summary is machine-generated.

Weak local quantum measurements can drive phase transitions in systems with spontaneously broken higher-form symmetries. These transitions suppress symmetry breaking and reduce charge fluctuations, with some exhibiting self-duality.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • Symmetries play a crucial role in understanding quantum systems.
  • Higher-form symmetries are generalizations of familiar symmetries with unique properties.
  • The effect of local quantum measurements on symmetry breaking is an active area of research.

Purpose of the Study:

  • To investigate the fate of quantum states with spontaneously broken higher-form symmetries under weak local quantum measurements.
  • To determine if such measurements can induce phase transitions.
  • To analyze the properties of these transitions and their relation to symmetry breaking.

Main Methods:

  • Analysis of quantum states with spontaneously broken higher-form symmetries.
  • Application of weak local quantum measurements.
  • Utilizing duality tools to analyze phase transitions.
  • Investigating fixed points and self-duality properties.

Main Results:

  • Weak local quantum measurements can drive a phase transition in systems with spontaneously broken higher-form symmetries.
  • The phase transition suppresses the spontaneous breaking of the 1-form symmetry.
  • Symmetry charge fluctuations are weakened by these measurements.
  • Some transitions exhibit a line of fixed points with self-duality.

Conclusions:

  • Weak measurements can fundamentally alter the symmetry properties of quantum systems.
  • The study reveals a novel mechanism for inducing phase transitions via measurement.
  • The findings offer insights into the interplay between quantum measurement, symmetry, and phase transitions, with potential implications for quantum information and condensed matter physics.