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Open Quantum Systems Decoherence Quantum Simulation

Numerical Studies on Correlations in Dynamics and Localization of Two Interacting Particles in Lattices

arXiv
Authors: Tirthaprasad Chattaraj

Year

2018

Paper ID

7412

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools. Both 1D and 2D systems are considered. In 1D lattices with long-range hopping, differences between dynamics of attractively and repulsively interacting particles are noted. For calculations of 2D systems, a recursion based numerical algorithm for two-particle Greens functions is implemented which provides accurate results. Using this algorithm, spectral properties of 2D Hubbard and Hofstadter models is computed, along with localization parameters of 2D disordered systems.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1809.09982 [2] arXiv https://arxiv.org/abs/1809.09982 [3] Publisher https://arxiv.org/abs/1809.09982

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