Time evolution and decoherence of a spin-1/2 particle coupled to a spin bath in thermal equilibrium

The time evolution of a spin-1/2 particle under the influence of a locally applied external magnetic field, and interacting with anisotropic spin environment in thermal equilibrium at temperature $T$ is studied. The exact analytical form of the reduced density matrix of the central spin is calculated explicitly for finite number of bath spins. The case of an infinite number of environmental spins is investigated using the convergence of the rescaled bath operators to normal Gaussian random variables. In this limit, we derive the analytical form of the components of the Bloch vector for antiferromagnetic interactions within the bath, and we investigate the short-time and long-time behavior of reduced dynamics. The effect of the external magnetic field, the anisotropy and the temperature of the bath on the decoherence of the central spin is discussed.Comment: 17 pages, 13 figures (compressed), one table. To appear in Phys. Rev.

Religious Styles Predict Interreligious Prejudice: A Study of German Adolescents with the Religious Schema Scale

Streib H, Klein C. Religious Styles Predict Interreligious Prejudice: A Study of German Adolescents with the Religious Schema Scale. International Journal for the Psychology of Religion. 2014;24(2):151-163.Based on a sample of 340 German adolescents age 12 to 25, this article presents an analysis of the effects of religion on two instances of interreligious prejudice: anti-Islamic and anti-Semitic prejudice. Reflecting the emergent interest in implementing a perspective of religious maturity and religious development into research on religion and prejudice, the present study has included the Religious Schema Scale (RSS) which, with its three subscales, Truth of Texts & Teachings (ttt), Fairness, Tolerance & Rational Choice (ftr), and Xenosophia/Interreligious Dialog (xenos), differentiates religious styles. Regression analyses indicate the superior explanatory power of the RSS in comparison to other measures of religiosity. The RSS subscale ttt relates to and predicts anti-Islamic and anti-Semitic prejudice, whereas ftr and xenos relate to and predict disagreement with interreligious prejudice. Results of an analysis of variance using high agreement on ttt, ftr, and xenos for group construction indicate a decrease in interreligious prejudice in relation to religious development

Dynamical decoupling of unbounded Hamiltonians

We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical decoupling, is known to work for bounded interactions, but physical environments such as bosonic heat baths are usually modelled with unbounded interactions, whence here we initiate a systematic study of dynamical decoupling for unbounded operators. We develop a sufficient decoupling criterion for arbitrary Hamiltonians and a necessary decoupling criterion for semibounded Hamiltonians. We give examples for unbounded Hamiltonians where decoupling works and the limiting evolution as well as the convergence speed can be explicitly computed. We show that decoupling does not always work for unbounded interactions and provide both physically and mathematically motivated examples.Comment: 18 pages, 3 figure

Zur mathematischen Theorie der Druckverbreiterung von Spektrallinien

Das Thema dieser Arbeit ist die Ableitung und Diskussion einer Formel von P. W. ANDERSON. Das statistische Modell eines unendlich ausgedehnten Gases bestehend aus gleichartigen, voneinander unabhängigen Teilchen wird aufgestellt und daraus die Formel hergeleitet. Wie die Diskussion des Linienprofils ergibt, gilt die quasistatische Approximation auf den Linienßügeln. Mit der Stoßapproximation in der Linienmitte hat man nur zu rechnen, falls die mittlere Anzahl der Teilchen innerhalb des Weißkopf-Radius sehr klein gegen 1 ist