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Updated: Jul 8, 2025
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
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Spectral Response of Disorder-Free Localized Lattice Gauge Theories
Nilotpal Chakraborty1, Markus Heyl1,2, Petr Karpov1
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, Dresden 01187, Germany.
Physical Review Letters
|December 15, 2023
Summary
Disorder-free localization in lattice gauge theories creates distinct spectral function peaks. This fragmentation halts information spreading, aiding differentiation from paramagnetic phases in frustrated magnets.
Area of Science:
- Condensed matter physics
- Quantum field theory
Background:
- Disorder-free localization (DFL) is a quantum phenomenon observed in certain lattice gauge theories.
- DFL leads to unique behaviors not seen in conventional disordered systems.
Purpose of the Study:
- Characterize the spectral functions of lattice gauge theories in the DFL phase.
- Investigate the impact of DFL on information spreading.
- Provide methods to experimentally distinguish DFL from other phases.
Main Methods:
- Analytical estimation of spectral functions.
- Numerical cluster expansion techniques.
- Calculation of the dynamic structure factor (transverse component).
- Analysis of unequal time commutators for information spreading.
Main Results:
- Spatially averaged spectral functions exhibit sharp peaks and vanish at zero frequency in DFL.
- DFL causes fragmentation into finite clusters, leading to discrete spectra.
- Information spreading halts due to real-space fragmentation.
- Local spectral functions of finite clusters show discrete peaks matching analytical estimates.
Conclusions:
- The observed spectral features are characteristic signatures of the DFL phase.
- DFL fundamentally alters information dynamics compared to conventional phases.
- These findings offer experimental discriminators for DFL in frustrated magnets realizing emergent gauge theories.
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