2002/09/20 by Stéphane Abriet, S. Abriet, Dragi Karevski · 1 citation
Mathematics · Physics and Astronomy · #Algebraic number #Chain (unit) #Computer science #Constant (computer programming) #Criticality #Homogeneous #Ising model #Magnetic field #Magnetization #Mathematical analysis #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Stationary state #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Time evolution #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2002-00333-4
6 pages, 5 figures, accepted for publication in EPJB
arxiv created 2002/09/20 · openalex publication_date 2002/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the non-equilibrium time evolution of the average transverse magnetisation and end-to-end correlation functions of the random Ising quantum chain. Starting with fully magnetised states, either in the x or z direction, we compute numerically the average quantities. They show similar behaviour to the homogeneous chain, that is an algebraic decay in time toward a stationary state. During the time evolution, the spatial correlations, measured from one end to the other of the chain, are building up and finally at long time they reach a size-dependent constant depending on the distance from criticality. Analytical arguments are given which support the numerical results.