Long-time and large-distance asymptotic behavior of the current–current correlators in the non-linear Schrödinger model
Year: 2011
Type: article
Abstract: We present a new method allowing one to derive the long-time and large-distance asymptotic behavior of the correlation functions of quantum integrable models from their exact representations. Starting from the form factor expansion of the correlation functions in finite volume, we explain how to reduce the complexity of the computation in the so-called interacting integrable models to the one appearing in free fermion equivalent models. We apply our method to the time-dependent zero-temperature current–current correlation function in the non-linear Schrödinger model and compute the first few terms in its asymptotic expansion. Our result goes beyond the conformal field theory based predictions: in the time-dependent case, excitations other than the ones on the Fermi surface contribute to the leading orders of the asymptotics.
Authors: K K Kozlowski, V Terras
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2053986384