Adiabatic Elimination and Sub-space Evolution of Open Quantum Systems
Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform the construction of effective operators in frequency space, and using the final value theorem or alternatively the Keldysh theorem, we provide a correction for the trace of the density matrix which takes into account the non trace-preserving character of the evolution. We illustrate our results with two different systems, ones where the eliminated fast subspace is constituted by a continuous set of states and ones with discrete states. Furthermore, we sh…
Enantiospecific Response in Cross-Polarization Solid-State Nuclear Magnetic Resonance of Optically Active Metal Organic Frameworks.
We report herein on a NMR-based enantiospecific response for a family of optically active metal-organic frameworks. Cross-polarization of the 1H-13C couple was performed, and the intensities of the 13C nuclei NMR signals were measured to be different for the two enantiomers. In a direct-pulse experiment, which prevents cross-polarization, the intensity difference of the 13C NMR signals of the two nanostructured enantiomers vanished. This result is due to changes of the nuclear spin relaxation times due to the electron spin spatial asymmetry induced by chemical bond polarization involving a chiral center. These experiments put forward on firm ground that the chiral-induced spin selectivity e…
CCDC 1990183: Experimental Crystal Structure Determination
Related Article: Eider San Sebastian, Javier Cepeda, Uxua Huizi-Rayo, Alessio Terenzi, Daniel Finkelstein-Shapiro, Daniel Padro, Jose Ignacio Santos, Jon M. Matxain, Jesus M. Ugalde, Vladimiro Mujica|2020|J.Am.Chem.Soc.|142|17989|doi:10.1021/jacs.0c04537
CCDC 1990182: Experimental Crystal Structure Determination
Related Article: Eider San Sebastian, Javier Cepeda, Uxua Huizi-Rayo, Alessio Terenzi, Daniel Finkelstein-Shapiro, Daniel Padro, Jose Ignacio Santos, Jon M. Matxain, Jesus M. Ugalde, Vladimiro Mujica|2020|J.Am.Chem.Soc.|142|17989|doi:10.1021/jacs.0c04537