Two particle excited states entanglement entropy in a one-dimensional ring

Abstract

The properties of the entanglement entropy (EE) of two particle excited states in a one-dimensional ring are studied. For a clean system we show analytically that as long as the momenta of the two particles are not close, the EE is twice the value of the EE of any single particle state. For almost identical momenta the EE is lower than this value. The introduction of disorder is numerically shown to lead to a decrease in the median EE of a two particle excited state, while interactions (which have no effect for the clean case) mitigate the decrease. For a ring which is of the same size as the localization length, interaction increase the EE of a typical two particle excited state above the clean system EE value.

6 pages, 4 figures, accepted for publication in PRB

References in corpus (5)

• Localization of interacting fermions at high temperature
• Quantum Quenches, Thermalization and Many-Body Localization
• Level statistics of disordered spin-1/2 systems and its implications for materials with localized Cooper pairs
• Finite Size Corrections to Entanglement in Quantum Critical Systems
• von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems

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