Experimental simulation of the Unruh effect on an NMR quantum simulator

A triad mode resonance, or three-wave resonance, is typical of dynamical systems with quadratic nonlinearities. Suspended cables are found to be rich in triad mode resonant dynamics. In this paper, modulation equations for cable’s triad resonance are formulated by the multiple scale method. Dynamic conservative quantities, i.e., mode energy and Manley-Rowe relations, are then constructed. Equilibrium/dynamic solutions of the modulation equations are obtained, and full investigations into their stability and bifurcation characteristics are presented. Various bifurcation behaviors are detected in cable’s triad resonant responses, such as saddle-node, Hopf, pitchfork and period-doubling bifurcations. Nonlinear behaviors, like jump and saturation phenomena, are also found in cable’s responses. Based upon the bifurcation analysis, two interesting properties associated with activation of cable’s triad resonance are also proposed, i.e., energy barrier and directional dependence. The first gives the critical amplitude of high-frequency mode to activate cable’s triad resonance, and the second characterizes the degree of difficulty for activating cable’s triad resonance in two opposite directions, i.e., with positive or negative internal detuning parameter.     

Enhanced recognition of non-complementary hybridization by single-LNA-modified oligonucleotide probes

Locked nucleic acid (LNA) is a deoxyribonucleotide analogue with an unusual ‘locked’ furanose conformation. LNA-modified oligonucleotide probes have demonstrated an enhanced binding affinity towards their complementary strands; however, their potential to discriminate non-complementary hybridization of mismatches has not been explored. In this study, we investigated the effect of the chemical nature of LNA nucleobases on the hybridization stability and the capability of LNA-modified oligonucleotides to discriminate the LNA:DNA mismatched base pairs. It was observed that LNA modification indeed improves the discrimination capability of oligonucleotides by increasing the melting temperature differences between the complementary duplexes and hybrids containing mismatches. Particularly, LNA purines offer a greater potential to recognize the mismatches than LNA pyrimidines and DNA purines. Real-time PCR experiments further confirmed that LNA modifications at the 3′-end are more effective. The results and conclusions in this study provide useful information for hybridization-based nucleic acid analysis where designing sound oligonucleotide probes is crucial to the success of the analyses.   Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.