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Introduction

Momentum entanglement of 1D disordered fermions Ian Mondragon-Shem, Mayukh Khan and Taylor Hughes Department of Physics, University of Illinois, Urbana-Champaign. Spatial entanglement presents some vague signatures:. Introduction. Momentum entanglement reveals the key properties sharply:.

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Introduction

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  1. Momentum entanglement of 1D disordered fermions Ian Mondragon-Shem, Mayukh Khan and Taylor Hughes Department of Physics, University of Illinois, Urbana-Champaign Spatial entanglement presents some vague signatures: Introduction Momentum entanglement reveals the key properties sharply: Objective To reveal extended states and metal-insulator transitions in 1D disordered systems using momentum entanglement Evidence of extended states Example model for study • Lattice models with correlated disorder [1]: • Random dimers • Random trimers Evidence of metal-insulator transition • Key properties of these models: • Finite fraction of extended states at resonant energies • Extended states disappear at strong enough disorder Entanglement measure So, does this happen in other systems? The important underlying feature: A Conclusion Models which suppress left-right-mover scattering leads to momentum entanglement suppression, and helps to reveal extended states and metal-insulator transitions in one dimension. B References [1] D. H. Dunlap, H.-L.Wu, and P. W. Phillips, Phys. Rev. Lett. 65, 88 (1990) [2] I. Peschel, Journal of Physics A Mathematical General 36, L205 (Apr. 2003)

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