Entanglement scaling of excited states in large one-dimensional many-body localized systems
arXiv:1511.02205 · doi:10.1103/PhysRevB.93.245129
Abstract
We study the properties of excited states in one-dimensional many-body localized (MBL) systems using a matrix product state algorithm. First, the method is tested for a large disordered non-interacting system, where for comparison we compute a quasi-exact reference solution via a Monte Carlo sampling of the single-particle levels. Thereafter, we present extensive data obtained for large interacting systems of L~100 sites and large bond dimensions chi~1700, which allows us to quantitatively analyze the scaling behavior of the entanglement S in the system. The MBL phase is characterized by a logarithmic growth (L)~log(L) over a large scale separating the regimes where volume and area laws hold. We check the validity of the eigenstate thermalization hypothesis. Our results are consistent with the existence of a mobility edge.
References in corpus (15)
- The density-matrix renormalization group in the age of matrix product states
- Many body localization and thermalization in quantum statistical mechanics
- Anderson Transitions
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- Many body localization in Heisenberg XXZ magnet in a random field
- Integrals of motion in the Many-Body localized phase
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Ergodicity breaking in a model showing many-body localization
- Quantum Quenches, Thermalization and Many-Body Localization
- Many-body localisation implies that eigenvectors are matrix-product states
- Quantum revivals and many-body localization
- Finite temperature transport in disordered Heisenberg chains
- Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions
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