2013/03/31 by Balázs Dóra, Frank Pollmann, József Fortágh +1 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Cold Atom Physics and Bose-Einstein Condensates #Exponent #Luttinger liquid #Mathematical physics #Mathematics #Measure (data warehouse) #Orthogonality #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Qubit #Superfluidity #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.111.046402
published as Phys. Rev. Lett. 111, 046402 (2013) · 6 pages, 3 figures
arxiv created 2013/05/08 · openalex publication_date 2013/07/23 · arxiv updated 2013/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the many-body generalization of the orthogonality catastrophe by studying the generalized Loschmidt echo of Luttinger liquids (LLs) after a global change of interaction. It decays exponentially with system size and exhibits universal behavior: the steady state exponent after quenching back and forth n times between 2 LLs (bang-bang protocol) is 2n times bigger than that of the adiabatic overlap and depends only on the initial and final LL parameters. These are corroborated numerically by matrix-product state based methods of the XXZ Heisenberg model. An experimental setup consisting of a hybrid system containing cold atoms and a flux qubit coupled to a Feshbach resonance is proposed to measure the Loschmidt echo using rf spectroscopy or Ramsey interferometry.