Multiply quantized vortices in trapped Bose-Einstein condensates are studied using the Bogoliubov theory. Suitable combinations of a localized pinning potential and an external rotation of the system are found to energetically stabilize, both locally and globally, vortices with multiple circulation quanta. We present a phase diagram for stable multiply quantized vortices in terms of the angular...

IV. Quantum anomalous Hall effect in a T -violating topological insulator model 10 A. 1d model 10 B. 2d model 12 C. Quantized Hall conductivity of the 2d bulk system topological invariant 13 1. Bulk eigen-states 13 2. Coupling to an external constant electric field Adiabatic eigen-states 14 3. Time-dependent perturbation theory based on adiabatic eigen-states 14 4. Adiabatic current 15 5. Hall ...

The two most aspects of any image based steganographic system are the quality of the stego-image & the capacity of the cover image. A lossless data hiding scheme is presented based on quantized coefficients of discrete wavelet transform (DWT) in the frequency domain to embed secret message. Using the quantized DWT based method, we embed secret data into the successive zero coefficients of the m...

It is revealed that there is a link between the quantization approach employed and the dimension of the vector parameter which can be accurately estimated by a quantized estimation system. A critical quantity called inestimable dimension for quantized data (IDQD) is introduced, which doesn’t depend on the quantization regions and the statistical models of the observations but instead depends on...

The implementation of Tomlinson-Harashima (TH) pre-coding for multiuser MIMO systems based on quantized channel state information (CSI) at the transmitter side. Compared with the results in [1], our scheme applies to more general system setting where the number of users in the system can be less than or equal to the number of transmit antennas. We also study the achievable average sum rate of t...

This paper introduces a method to achieve reltive error control in Quantized State System (QSS) methods. Based on the use of logarithmic quantization, the proposed methodology solves the problem of quantum selection. Keywords— Quantization Based Integration, Continuous System Simulation.