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27 VAdith Sai Aramthottil (Jagiellonian University)
Phenomenology of many-body localization in bond-disordered spin chains
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20-22.02.2024 - Workshop on Quantum Simulators of the Future: From Dynamical Gauge Fields to Lattice Gauge Theories | (smr 3922)

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Open Data

Current: /2212.07107

Arxiv link

We investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow, suggesting, at short times, an occurrence of many-body localization. Considering longer time scales, we show that the latter is a transient effect and that, eventually, the impurity spreads sub-diffusively and induces a gradual delocalization of the Anderson insulator. The phenomenology of the system in the considered regime of slow dynamics includes a sub-diffusive growth of mean square displacement of the impurity, power-law decay of density correlation functions of the Anderson insulator and a power-law growth of entanglement entropy in the system. We observe a similar regime of slow dynamics also when the disorder in the system is replaced by a sufficiently strong quasi-periodic potential.

The datasets described below were used to produce all figures in the linked arXiv paper.

Figure 1. Slow dynamics of the c-boson. Jupyter notebook creating plots of Fig. 1 is fig1.ipynb; it employs data stored in directory ./fig1/

Figure 2. Slow dynamics of d-bosons, initially, the c-boson is placed on the leftmost site of the chain. Jupyter notebook creating plots of Fig. 2 is fig2.ipynb; it employs data stored in directory ./fig2/

Figure 3. Entanglement entropy S(t) in the system. Jupyter notebook creating plots of Fig. 3 is fig3.ipynb; it employs data stored in directory ./fig3/

Figure 4. Slow dynamics in presence of quasi-periodic potential. Jupyter notebook creating plots of Fig. 4 is fig4.ipynb; it employs data stored in directory ./fig4/

Figure 5. Convergence of TDVP vs numerically exact results from Chebyshev time propagation scheme. Jupyter notebook creating plots of Fig. 5 is fig5.ipynb; it employs data stored in directory ./fig5/

Figure 6. Slow dynamics of d-bosons, initially, the c-boson is placed in the middle of the chain. Jupyter notebook creating plots of Fig. 6 is fig6.ipynb; it employs data stored in directory ./fig6/

[Parent Directory]
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fig1.ipynb229kB
fig2.ipynb222kB
fig3.ipynb202kB
fig4.ipynb110kB
fig5.ipynb134kB
fig6.ipynb96kB