Particle-hole pairs and density-density correlations in the Lieb-Liniger model

Jacopo De Nardis; Miłosz Panfil

doi:10.1088/1742-5468/aab012

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arXiv · 1712.06581

Particle-hole pairs and density-density correlations in the Lieb-Liniger model

Jacopo De Nardis·Miłosz Panfil

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Abstract

We review the recently introduced thermodynamic form factors for pairs of particle-hole excitations on finite-entropy states in the Lieb-Liniger model. We focus on the density operator and we show how the form factors can be used for analytic computations of dynamical correlation functions. We derive a new representation for the form factors and we discuss some aspects of their structure. We rigorously show that in the small momentum limit (or equivalently, on hydrodynamic scales) a single particle-hole excitation fully saturates the spectral sum and we also discuss the contribution from two particle-hole pairs. Finally we show that thermodynamic form factors can be also used to study the ground state correlations and to derive the edge exponents.

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Jacopo De Nardis, Miłosz Panfil. 2018-05-30. Particle-hole pairs and density-density correlations in the Lieb-Liniger model. https://doi.org/10.1088/1742-5468%2Faab012

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