The cholesteric twist inversion by temperature variation of a single component thermotropic liquid crystalline system was experimentally investigated and is explained by the partial twisting power model, evaluating the temperature dependent pitch of five different configurations of a benzoic acid biphenyl ester with two chiral centers. The temperature dependence of the twisting power and the ch...

Following Mathieu [Ma], Motegi [Mo] and others, we consider the class of possible composite twisted unknots as well as pairs of composite knots related by twisting. At most one composite knot can arise from a particular V -twisting of an unknot; moreover a twisting of the unknot cannot be composite if we have applied more than a single full twist. A pair of composite knots can be related throug...

In this supplement, we derive the effective one-axis twisting dynamics of an atomic ensemble coupled to a driven optical cavity [1–3]. This system has been analyzed elsewhere, but we know of no comprehensive treatment using the Lindblad master equation formalism. We also establish an equivalence between the twisting dynamics of the driven cavity scheme and the twisting dynamics of a four-photon...