Many-Body Localization Characterized from a One-Particle Perspective
We show that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of ρ) are localized in the many-body localized phase and spread out when one enters the delocalized p...
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| Veröffentlicht in: | Physical review letters 2015-07, Vol.115 (4), p.046603-046603, Article 046603 |
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| container_title | Physical review letters |
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| creator | Bera, Soumya Schomerus, Henning Heidrich-Meisner, Fabian Bardarson, Jens H |
| description | We show that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of ρ) are localized in the many-body localized phase and spread out when one enters the delocalized phase, while the occupation spectrum (the set of eigenvalues of ρ) reveals the distinctive Fock-space structure of the many-body eigenstates, exhibiting a steplike discontinuity in the localized phase. The associated one-particle occupation entropy is small in the localized phase and large in the delocalized phase, with diverging fluctuations at the transition. We analyze the inverse participation ratio of the natural orbitals and find that it is independent of system size in the localized phase. |
| doi_str_mv | 10.1103/physrevlett.115.046603 |
| format | Article |
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| subjects | Density Discontinuity Inverse Localization Occupation Orbitals Phase transformations Position (location) |
| title | Many-Body Localization Characterized from a One-Particle Perspective |
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