2008/06/30 by Adilet Imambekov, L. I. Glazman, Leonid I. Glazman · 1 citation
Physics and Astronomy · #Class (philosophy) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensed matter physics #Function (biology) #Linear response theory #Luttinger liquid #Nonlinear system #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spectrum (functional analysis) #Spin (aerodynamics) #Statistical physics #Strong Light-Matter Interactions #Theoretical physics #cond-mat.str-el
paper · pdf · doi:10.1126/science.1165403
published as Science 323, 228 (2009) · final published version with supporting online material
openalex publication_date 2008/11/28 · arxiv created 2009/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
One-dimensional quantum fluids are conventionally described by using an effective hydrodynamic approach known as Luttinger liquid theory. As the principal simplification, a generic spectrum of the constituent particles is replaced by a linear one, which leads to a linear hydrodynamic theory. We show that to describe the measurable dynamic response functions one needs to take into account the nonlinearity of the generic spectrum and thus of the resulting quantum hydrodynamic theory. This nonlinearity leads, for example, to a qualitative change in the behavior of the spectral function. The universal theory developed in this article is applicable to a wide class of one-dimensional fermionic, bosonic, and spin systems.