Dynamics of the spin–boson system

Manfred Winterstetter, Ulrich Weiß

Mikhail Gennag'evich Vasin, S. V. Remizov, Andrey A. Elistratov

Eliana Fiorelli, Pietro Rotondo, Federico Carollo +2 more

This paper presents a non-perturbative method to study dissipative spin-boson systems and, thus, allows access to the strong-coupling regime. Following the integration of the bosonic degrees of freedom, the spin dynamics can be described in terms of a classical stochastic process which, for some choices of the parameters, approximates the thermal dynamics of a fully-connected system

R. Steib, J. L. Schoendorff, H. J. Korsch +1 more

H. T. Ng

We study the nonequilibrium dynamics of two-component bosonic atoms in a one-dimensional optical lattice in the presence of spin-orbit coupling. In the Mott-insulating regime, the two-component bosonic system at unity filling can be described by the quantum spin $XXZ$ model. The atoms are initially prepared in their lower spin states. The system becomes out of equilibrium by suddenly introducing spin-orbit coupling to the atoms. The system shows the relaxation and nonstationary dynamics, respectively, in the different interaction regimes. We find that the time average of magnetization is useful to characterize the many-body dynamics. The effects of even and odd numbers of sites are discussed. Our result sheds light on nonequilibrium dynamics due to the interplay between spin-orbit coupling and atomic interactions.

T. Tsuzuki

We first extend the dynamic compensation theorem of infrared divergence for the case of finite temperatures and then obtain the exact partition function of the spin-boson system, which is different from the previous ones. We find that there exists no thermodynamic equivalence between the spin-boson system and the Kondo system in general and that such equivalence is restricted to the case of high temperature limit.