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This strategy offers an optimal procedure for generating stationary entangled states of coupled systems of photons and atoms.
Current methods of generating stationary random fields having power-law spectra are based on fast Fourier transforming an array of random numbers with zero mean and unit variance to wave space.
These states that appear in the energy range corresponding to the gap of a pristine N = 5 A-GNRs[24, 32] correspond to a constructive interference of the electron wavefunctions inside the heterostructure, which can travel forth and back generating stationary (well-like) states.
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We look into randomized sampling techniques which generate stationary samples.
The structure of the transition matrices of these specific systems is explored and a computational algorithm is developed to generate stationary distribution for different values of the system characteristics.
Average values from samples AF_S were divided by values generated from samples THY_S to generate stationary-phase AF/THY ratios (S).
This equation has a random fixed point in the sense of random dynamical systems generating a stationary solution known as the stationary Ornstein-Uhlenbeck process (see [35, 36] for more details).
Taylor series solutions to a generalized Burgers' equation are generated for stationary noise signals.
We generated 10 000 stationary [derived from Equation (5)] and 10 000 non-stationary periodic signals [derived from Equation (6)] by the following steps: (i) taking τ by 0.1-h sampling interval in [20 h, 28 h), (ii) at each period, taking ϕ by 2π/25 sampling interval in [0, 2π) and (iii) at each period and phase, taking SNR of 5 1, 4 1, 3 1, 2 1 and 1 1.
The number of bacterial generations was calculated from the number of cell divisions required to generate the stationary phase cfu/ml−1 from the starting inoculum.
We show that the radiation pressure generates the stationary entanglement of three bipartite subsystems, i.e., field-mechanical mirror, field-BEC and mechanical mirror-atoms.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com