2009/09/30 by Claudia De Grandi, C. De Grandi, V. Gritsev +3 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.81.012303
published as Phys. Rev. B 81, 012303 (2010) · 4 pages, significant changes, references added
arxiv created 2009/11/26 · openalex publication_date 2010/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the dynamical response of a system to a sudden change of the tuning parameter \ensuremathλ starting (or ending) at the quantum critical point. In particular, we analyze the scaling of the excitation probability, number of excited quasiparticles, heat and entropy with the quench amplitude, and the system size. We extend the analysis to quenches with arbitrary power law dependence on time of the tuning parameter, showing a close connection between the scaling behavior of these quantities with the singularities of the adiabatic susceptibilities of order m at the quantum critical point, where m is related to the power of the quench. Precisely for sudden quenches, the relevant susceptibility of the second order coincides with the fidelity susceptibility. We discuss the generalization of the scaling laws to the finite-temperature quenches and show that the statistics of the low-energy excitations becomes important. We illustrate the relevance of those results for cold-atom experiments.