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Effect of long-range hopping and interactions on entanglement dynamics and many-body localization

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Moessner,  Roderich
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Singh, R., Moessner, R., & Roy, D. (2017). Effect of long-range hopping and interactions on entanglement dynamics and many-body localization. Physical Review B, 95(9): 094205. doi:10.1103/PhysRevB.95.094205.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-ADD3-7
Abstract
We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the chain hosts delocalized states at the top of the band which undergo a delocalization-localization transition with increasing disorder. We find an interesting regime in this noninteracting disordered chain where the long-time entanglement entropy scales as S(t) similar to ln t and the saturated entanglement entropy scales with system size L as S( L, t ->infinity) similar to lnL. We further study the interplay of long-range hopping and interactions on the growth of entanglement and the many-body localization (MBL) transition in this system. We develop an analogy to higher-dimensional short-range systems to compare and contrast such behavior with the physics of MBL in a higher dimension.