Dynamical phase transitions, characterized by non-analytic behaviors in time domain, extend the equilibrium phase transitions to far-from-equilibrium situations 1, 2 . Furthermore, it's predicted that the dynamical phase transitions can be precisely identified by discontinuities of Pancharatnam geometric phase during the time evolution, even in a general nonadiabatic and non-cyclic process 3-5 . Here, we report the observation of dynamical phase transitions via directly measuring Pancharatnam geometric phase in a quenched topological nanomechanical system. We present a flexible strategy based on eight strong-coupled high-quality-factor nanomechanical oscillators to realize an one-dimensional reconfigurable lattice described by the Su-Schrieffer-Heeger Hamiltonian. Due to the chiral symmetry, the dynamical phase of the time-evolved state quenching from an initial topological edge state is 1 arXiv:1807.04483v2 [quant-ph]
We report on coplanar waveguides (CPWs) designed for optically detected magnetic resonance of nitrogen-vacancy (NV) centers in diamonds. A broad band up to 15.8 GHz has been realized, which ensures that the electron spins can be manipulated under external magnetic fields up to 5000 G. The conversion factor of CPW has been measured by Rabi nutation experiments, which ranges from 6.64 G W to 10.60 G W in the frequency band from 0.76 GHz to 17.3 GHz. Broadband CPWs also provide high quality control pulses due to the minimization of the distortion. These characteristics will find potential applications in NV-based quantum information processing and single spin magnetometry.
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