Many-body Localization in Clean Chains with Long-Range Interactions

Chen Cheng
Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Statistical Mechanics (cond-mat.stat-mech), Quantum Physics (quant-ph)
Physical Review B 108, 155113 (2023)
2023-06-18 16:00:00
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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