2017/04/30 by Jacopo De Nardis, Miłosz Panfil, Andrea Gambassi +3 · 2 citations
Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Canonical ensemble #Cold Atom Physics and Bose-Einstein Condensates #Dimension (graph theory) #Dissipation #Excited state #Fluctuation-dissipation theorem #Gibbs state #Hamiltonian (control theory) #Integrable system #Mathematical physics #Mathematics #Physics #Quantum #Quantum fluctuation #Quantum many-body systems #Quantum mechanics #Quantum system #Quantum, superfluid, helium dynamics #Statistical physics #Thermal #Thermal fluctuations #Thermodynamics #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.21468/scipostphys.3.3.023
published as SciPost Phys. 3, 023 (2017) · 17 pages + appendices
arxiv created 2017/07/03 · openalex publication_date 2017/09/27 · arxiv updated 2017/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum integrable models display a rich variety of non-thermal excited states with unusual properties. The most common way to probe them is by performing a quantum quench, i.e., by letting a many-body initial state unitarily evolve with an integrable Hamiltonian. At late times these systems are locally described by a generalized Gibbs ensemble with as many effective temperatures as their local conserved quantities. The experimental measurement of this macroscopic number of temperatures remains elusive. Here we show that they can be obtained for the Bose gas in one spatial dimension by probing the dynamical structure factor of the system after the quench and by employing a generalized fluctuation-dissipation theorem that we provide. Our procedure allows us to completely reconstruct the stationary state of a quantum integrable system from state-of-the-art experimental observations.