2019/04/30 by Colin Rylands, Natan Andrei · 13 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Amplitude #Ansatz #Bethe ansatz #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Distribution function #Lattice (music) #Luttinger liquid #Non-equilibrium thermodynamics #Optical lattice #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #Work (physics) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.100.064308
published in Physical review. B./Physical review. B 100(6) (American Physical Society) · 7 pages, 2 figures
arxiv created 2019/05/02 · openalex publication_date 2019/08/26 · arxiv updated 2019/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A classic example of a quantum quench concerns the release of an interacting Bose gas from an optical lattice. The local properties of quenches such as this have been extensively studied; however, the global properties of these nonequilibrium quantum systems have received far less attention. Here we study several aspects of global nonequilibrium behavior by calculating the amount of work done by the quench as measured through the work distribution function. Using Bethe ansatz techniques, we determine the Loschmidt amplitude and work distribution function of the Lieb-Liniger gas after it is released from an optical lattice. We find the average work and its universal edge exponents from which we determine the long-time decay of the Loschmidt echo and highlight striking differences caused by the interactions as well as changes in the geometry of the system. We extend our calculation to the attractive regime of the model and show that the system exhibits properties similar to the super-Tonks-Girardeau gas. Finally, we examine the prominent role played by bound states in the work distribution and show that, with low probability, they allow for work to be extracted from the quench.