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Power-Law Entanglement Spectrum in Many-Body Localized Phases
Maksym Serbyn1, Alexios A Michailidis2, Dmitry A Abanin3
1Department of Physics, University of California, Berkeley, California 94720, USA.
Physical Review Letters
|October 30, 2016
Summary
Many-body localized systems exhibit power-law entanglement spectra, distinguishing them from other quantum phases. This finding offers new insights into exotic orders and critical behavior in quantum systems.
Area of Science:
- Quantum Information Theory
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Entanglement spectrum provides deeper insights than von Neumann entropy.
- Understanding exotic orders and critical behavior in quantum systems is crucial.
Purpose of the Study:
- Investigate the entanglement spectrum of strongly disordered systems in the many-body localized phase.
- Determine if power-law entanglement spectra can distinguish many-body localized systems from other quantum phases.
Main Methods:
- Analysis of power-law entanglement spectra in many-body localized systems.
- Comparison with ergodic systems, gapped integrable models, and critical points.
- Large-scale exact diagonalization.
- Development of a matrix-product state algorithm for accessing eigenstates.
Main Results:
- Strongly disordered systems in the many-body localized phase exhibit power-law entanglement spectra.
- Power-law spectra arise from numerous local integrals of motion.
- This spectral feature differentiates many-body localized systems from ergodic and gapped systems.
Conclusions:
- Power-law entanglement spectra are a hallmark of many-body localization.
- The findings have implications for variational studies of highly excited eigenstates.
- This work provides a new tool for characterizing quantum phases.
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