2015/10/06 by Balázs Dóra, Roderich Moessner
Computer Science · Physics and Astronomy · #Amplitude #Boson #Cold Atom Physics and Bose-Einstein Condensates #Electron #Excited state #Geometric phase #Ground state #Luttinger liquid #Phase (matter) #Physics #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Robustness (evolution) #Scattering #Symmetry breaking #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.075127
published as Phys. Rev. B 93, 075127 (2016) · 5 pages, 1 figure
arxiv created 2015/10/06 · openalex publication_date 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Luttinger liquids (LLs) are one-dimensional systems with well-understood instabilities due to Umklapp or backscattering. We study a generalization of the Luttinger model, which incorporates a time reversal symmetry breaking interaction producing a complex forward scattering amplitude (g2 process). The resulting low energy state is still a LL and belongs to the family of interacting Schulz-Shastry models. Remarkably, it becomes increasingly robust against additional perturbations---for purely imaginary g2, both Umklapp and local backscattering are always irrelevant. Changing the phase of the interaction generates a nontrivial Berry phase, with a universal geometric phase difference between ground and a one boson excited state depending only on the LL parameter.