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Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder
Giacomo Morpurgo1,2,3, Laurent Sanchez-Palencia4, Thierry Giamarchi1
1University of Geneva, Department of Quantum Matter Physics, 1205 Geneva, Switzerland.
Correlated disorder in one-dimensional systems significantly shifts quantum localization transitions. This study reveals unique scaling behaviors deviating from conventional models, impacting interacting quantum systems.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Statistical physics
Background:
- Disorder-induced localization is a key phenomenon in quantum systems.
- Correlated disorder introduces complexities beyond traditional random disorder models.
- Understanding these effects is crucial for designing novel quantum materials and devices.
Purpose of the Study:
- To investigate the localization transition in a 1D system with colored-noise disorder.
- To analyze the impact of correlations on the localization transition point and scaling behavior.
- To explore potential applications in cold atom experiments with optical disorder.
Main Methods:
- Utilized two complementary renormalization group procedures.
- Derived the phase diagram of the system.
- Performed numerical analysis of localization length scaling.
Main Results:
- Identified a significant shift in the localization transition point due to correlated disorder.
- Revealed a novel scaling behavior of the localization length with disorder strength.
- Demonstrated deviations from conventional localization phenomena.
Conclusions:
- Correlated disorder fundamentally alters localization transitions in interacting quantum systems.
- The findings provide new insights into the behavior of quantum particles in disordered environments.
- The study offers a theoretical framework applicable to experimental systems like cold atoms.
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