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Many-body localization edge in the random-field Heisenberg chain
The authors study the phenomena of many-body localization in a random field Heisenberg chain. In this paper the authors use a shift-inverse exact diagonalization approach that allows them to study
Anomalous Thermalization in Ergodic Systems.
TLDR
It is found that for subdiffusively thermalizing systems the variance scales more slowly with system size than expected for diffusive systems, directly violating Berry's conjecture.
Long tail distributions near the many-body localization transition
The random field S=1/2 Heisenberg chain exhibits a dynamical many body localization transition at a critical disorder strength, which depends on the energy density. At weak disorder, the eigenstate
The ergodic side of the many‐body localization transition
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport
Shift-invert diagonalization of large many-body localizing spin chains
TLDR
Through a detailed analysis of the simulational parameters of the random field Heisenberg spin chain, this work provides a practical guide on how to perform efficient computations of parallel sparse linear algebra techniques in the MBL problem.
Bimodal entanglement entropy distribution in the many-body localization transition
We introduce the cut averaged entanglement entropy in disordered periodic spin chains and prove it to be a concave function of subsystem size for individual eigenstates. This allows us to identify
Universal behavior beyond multifractality in quantum many-body systems.
TLDR
This work develops quantum Monte Carlo schemes to overcome the notoriously difficult study of the ground state complexity for interacting many-body quantum systems, focusing on Shannon-Rényi entropies of ground states of large quantum many- body systems.
Weak-coupling continuous-time quantum Monte Carlo study of the single impurity and periodic Anderson models with s -wave superconducting baths
We apply the unbiased weak-coupling continuous time quantum Monte Carlo (CTQMC) method to review the physics of a single magnetic impurity coupled to s-wave superconducting leads described by the BCS
Extended slow dynamical regime close to the many-body localization transition
Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at
How a Small Quantum Bath Can Thermalize Long Localized Chains.
TLDR
A simple theory is presented that assumes a system to be locally ergodic unless the local relaxation time determined by Fermi's golden rule is larger than the inverse level spacing and predicts a critical value for the localization length that is perfectly consistent with the numerical calculations.
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