Drude Weight for the Lieb-Liniger Bose Gas

By B. Doyon, Herbert Spohn. 2017

146 citations recorded by the source corpus.

Based on the method of hydrodynamic projections we derive a concise formula for the Drude weight of the repulsive Lieb-Liniger $\delta$-Bose gas. Our formula contains only quantities which are obtainable from the thermodynamic Bethe ansatz. The Drude weight is an infinite-dimensional matrix, or bilinear functional: it is bilinear in the currents, and each current may refer to a general linear combination of the conserved charges of the model. As a by-product we obtain the dynamical two-point correlation functions involving charge and current densities at small wavelengths and long times, and in addition the scaled covariance matrix of charge transfer. We expect that our formulas extend to other integrable quantum models.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b26e9bc3c28ef7f1e50ab3bf450d6dba1fdd3232

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In Atomic and Molecular Physics, and Optics

1. B. Doyon
2. D. Bernard
3. J. Nardis
4. Pasquale Calabrese
5. J. Caux

In Geometry and Topology

1. D. Bernard
2. B. Doyon
3. Pasquale Calabrese

Citations in the corpus

• Lecture notes on Generalised Hydrodynamics (2019, background): “Thus [88],”
• Diffusion in generalized hydrodynamics and quasiparticle scattering (2018, background): “By using the non-linear relations between the Lagrange multiplier β j and the root densities ρp(θ ) of a generic GGE, one finds [141] ˆ dx 〈qi(x , t)q j(0,0)〉 = − ∂ 〈qi〉 ∂ β j = − ˆ dθ ρp(θ ) ∂ β j hi(θ ) (3.”