|Out of equilibrium process in Ising quantum chains|
|Platini T., Karevski D.|
|Journal of Physics: Conference Series 40 (2006) 93|
|DOI : 10.1088/1742-6596/40/1/011|
In this paper we present the results obtained concerning the relaxation behaviour of a non equilibrium Ising quantum chain. In particular, we have focues our attention into the transverse magnetization. The out-of-equilibriumness is generated by setting up an initial thermal inhomogeneity. We present two different initial conditions: a completely factorized state, where all the spins are thermalized independently and second a system-bath case, where half of the chain called the system is thermalized at a temperature Ts and the remaining half is at a temperature T b. In both cases, the magnetization profiles are calculated either analytically or numerically and show a scaling behaviour. It is also found that in the two-temperature case the magnetization relaxes in quantized steps in the strong transverse field region.