2009/08/27 by U. Divakaran, Uma Divakaran, V. Mukherjee +5
Physics and Astronomy · #Dynamics (music) #Gapless playback #Line (geometry) #Multicritical point #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum fluctuation #Quantum many-body systems #Quantum phases #Quenching (fluorescence) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1007/978-3-642-11470-0_3
16 pages, 7 figures, an updated version will be published in "Quantum Quenching, Annealing and Computation", Eds. A. Das, A. Chandra and B. K. Chakrabarti, Lect. Notes in Phys., Springer, Heidelberg (2009, to be published)
arxiv created 2009/08/27 · openalex publication_date 2010/01/01 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this review, we study the quenching dynamics of a one-dimensional XY Hamiltonian in a transverse field under linear variation of different parameters of the Hamiltonian so that the system is driven through various critical points and gapless lines. It is observed that the density of defects falls off as a power law with the quenching rate 1/τ where the power law is determined by the dimensionality of the underlying lattice and the critical exponents associated with the quantum critical point as predicted by Kibble-Zurek scaling. However, we show that when the system is driven through a multicritical point or along a gapless line, Kibble Zurek scaling needs to be modified. We discuss generalized scaling forms of the defect density for the above two situations.