Physics – Condensed Matter
Scientific paper
1996-03-06
Nucl.Phys. B474 (1996) 602-640
Physics
Condensed Matter
2 References corrected, three added. Discussion of the Screening cloud modified. 42 pages, harvmac, epsf and 6 figures
Scientific paper
10.1016/0550-3213(96)00234-9
We show how to compute analytically time and space dependent correlations in one dimensional quantum integrable systems with an impurity. Our approach is based on a description of these systems in terms of massless scattering of quasiparticles. Correlators follow then from matrix elements of local operators between multiparticle states, the ``massless form factors''. Although an infinite sum of these form factors has to be considered in principle, we find that for current, spin, and energy operators, only a few (typically two or three) are necessary to obtain an accuracy of more than $1\%$, for {\bf arbitrary coupling strength}, that is all the way from short to large distances. As examples we compute, at zero temperature, the frequency dependent conductance in a Luttinger liquid with impurity, the spectral function in the double well problem of dissipative quantum mechanics and part of the space dependent succeptibility in the Kondo model .
Lesage François
Saleur Herbert
Skorik Sergei
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