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One-particle density matrix occupation spectrum of many-body localized states after a global quench

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Lezama Mergold Love,  Talía
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Bera,  Soumya
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Bardarson,  Jens H.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Lezama Mergold Love, T., Bera, S., Schomerus, H., Heidrich-Meisner, F., & Bardarson, J. H. (2017). One-particle density matrix occupation spectrum of many-body localized states after a global quench. Physical Review B, 96(6): 060202. doi:10.1103/PhysRevB.96.060202.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002E-27F8-E
Abstract
The emergent integrability of the many-body localized phase is naturally understood in terms of localized quasiparticles. As a result, the occupations of the one-particle density matrix in eigenstates show a Fermi-liquid-like discontinuity. Here, we show that in the steady state reached at long times after a global quench from a perfect density-wave state, this occupation discontinuity is absent, reminiscent of a Fermi liquid at a finite temperature, while the full occupation function remains strongly nonthermal. We discuss how one can understand this as a consequence of the local structure of the density-wave state and the resulting partial occupation of quasiparticles. This partial occupation can be controlled by tuning the initial state and can be described by an effective temperature.