Operationally accessible entanglement of one dimensional spinless fermions

For indistinguishable itinerant particles subject to a superselection rule fixing their total number, a portion of the entanglement entropy under a spatial bipartition of the ground state is due to particle fluctuations between subsystems and thus is inaccessible as a resource for quantum informatio...

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Bibliographic Details
Published in:arXiv.org 2019-05
Main Authors: Barghathi, Hatem, Casiano-Diaz, Emanuel, Adrian Del Maestro
Format: Article
Language:English
Subjects:
Accessibility
Charge density waves
Data processing
Entropy
Fermions
Phase diagrams
Phase transitions
Quantum entanglement
Quantum phenomena
Subsystems
Variation
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Summary:For indistinguishable itinerant particles subject to a superselection rule fixing their total number, a portion of the entanglement entropy under a spatial bipartition of the ground state is due to particle fluctuations between subsystems and thus is inaccessible as a resource for quantum information processing. We quantify the remaining operationally accessible entanglement in a model of interacting spinless fermions on a one dimensional lattice via exact diagonalization and the density matrix renormalization group. We find that the accessible entanglement exactly vanishes at the first order phase transition between a Tomonaga-Luttinger liquid and phase separated solid for attractive interactions and is maximal at the transition to the charge density wave for repulsive interactions. Throughout the phase diagram, we discuss the connection between the accessible entanglement entropy and the variance of the probability distribution describing intra-subregion particle number fluctuations.
ISSN:2331-8422
DOI:10.48550/arxiv.1905.03312