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Open Quantum Systems Decoherence Quantum Simulation

Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling

arXiv
Authors: Alexander L. Burin

Year

2014

Paper ID

47271

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

Many-body localization in a disordered system of interacting spins coupled by the long-range interaction 1/R^α is investigated combining analytical theory considering resonant interactions and a finite size scaling of exact numerical solutions with a number of spins N. The numerical results for a one-dimensional system are consistent with the general expectations of analytical theory for d-dimensional system including the absence of localization in the infinite system at α<2d and a universal scaling of a critical energy disordering Wc propto N^{frac{2d-α}{d}}. %The finite size effect on the interaction stimulated delocalization of energy in the ensemble of interacting two level systems in amorphous solids at low temperature is discussed.

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  • Many-body localization in a disordered system of interacting spins coupled by the long-range interaction 1/R^α is investigated combining analytical theory considering resonant...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.7990 [2] arXiv https://arxiv.org/abs/1409.7990 [3] Publisher https://arxiv.org/abs/1409.7990

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