Many-body Localization in Clean Chains with Long-Range Interactions
- URL: http://arxiv.org/abs/2306.10691v1
- Date: Mon, 19 Jun 2023 04:06:06 GMT
- Title: Many-body Localization in Clean Chains with Long-Range Interactions
- Authors: Chen Cheng
- Abstract summary: Author numerically investigates thermalization and many-body localization in translational invariant quantum chains.
The long-time dynamics is dominated by the homogeneity eigenstates and eventually reach degenerate in real space.
On the other hand, the entanglement entropy exhibits the size-dependence beyond the area law for the same reason, even deep in the localized state.
- Score: 2.538209532048867
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The strong long-range interaction leads to localization in the closed quantum
system without disorders. Employing the exact diagonalization method, the
author numerically investigates thermalization and many-body localization in
translational invariant quantum chains with finite Coulomb interactions. In the
computational basis, excluding all trivial degeneracies, the
interaction-induced localization is well demonstrated in aspects of level
statistics, eigenstate expectation values, and the Anderson localization on
graphs constructed of the many-body basis. The nature of localization for
generic eigenstates is attributed to the quasi-disorder from the power-law
interactions. However, due to the real-space symmetries, the long-time dynamics
is dominated by the degenerate eigenstates and eventually reach homogeneity in
real space. On the other hand, the entanglement entropy exhibits the
size-dependence beyond the area law for the same reason, even deep in the
localized state, indicating an incomplete localization in real space.
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