Drude Weight for the Lieb-Liniger Bose Gas
Benjamin Doyon, Herbert Spohn
SciPost Phys. 3, 039 (2017) · published 15 December 2017
- doi: 10.21468/SciPostPhys.3.6.039
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Abstract
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.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.3.6.039
TI - Drude Weight for the Lieb-Liniger Bose Gas
PY - 2017/12/15
UR - https://scipost.org/SciPostPhys.3.6.039
JF - SciPost Physics
JA - SciPost Phys.
VL - 3
IS - 6
SP - 039
A1 - Doyon, Benjamin
AU - Spohn, Herbert
AB - 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.
ER -@Article{10.21468/SciPostPhys.3.6.039,
title={{Drude Weight for the Lieb-Liniger Bose Gas}},
author={Benjamin Doyon and Herbert Spohn},
journal={SciPost Phys.},
volume={3},
pages={039},
year={2017},
publisher={SciPost},
doi={10.21468/SciPostPhys.3.6.039},
url={https://scipost.org/10.21468/SciPostPhys.3.6.039},
}
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