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Ground State Entanglement in Long-Range Systems

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Speaker(s) / Presenter(s):
Debarghya Chackraborty (UK)

I will talk about our work investigating the scaling of entanglement entropy in ground states of long-range systems. We study free fermionic lattice models in one-spatial dimension where the hopping and pairing terms decay as a power law with exponent α. In disordered models, we find fractal scaling of entanglement approaching a volume-law as α goes to zero. In models with a continuum limit, the scaling is constrained by predictions from the low-energy theory. There is no universality in the critical α beyond which area-law scaling of local systems is restored. These features are expected to persist in more general system

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