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Quantum Mutual Information as a Probe for Many-Body Localization
Giuseppe De Tomasi1, Soumya Bera1, Jens H Bardarson1
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187-Dresden, Germany.
Physical Review Letters
|January 21, 2017
Summary
Quantum mutual information (QMI) effectively detects metal-insulator transitions and distinguishes many-body localization (MBL) phases. It reveals localization lengths and shows distinct dynamical behaviors after quantum quenches.
Area of Science:
- Condensed matter physics
- Quantum information theory
Background:
- Many-body localization (MBL) is a phenomenon where interacting quantum systems fail to thermalize.
- Distinguishing MBL from Anderson insulators is crucial for understanding quantum disorder effects.
Purpose of the Study:
- To demonstrate the utility of quantum mutual information (QMI) as a probe for MBL.
- To detect metal-insulator transitions and differentiate MBL from Anderson insulator phases.
Main Methods:
- Calculating QMI in the localized phase to observe its distance dependence.
- Analyzing the dynamical spread of QMI after a global quantum quench.
Main Results:
- QMI exhibits exponential decay with distance in the localized phase, defining a correlation length.
- This correlation length converges to the single-particle localization length.
- QMI shows distinct dynamical signatures: no spread in Anderson insulators, logarithmic growth in MBL phases.
Conclusions:
- QMI is a powerful tool for characterizing MBL and related phase transitions.
- The spatial decay and dynamical spread of QMI provide clear indicators for MBL detection.
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