We have developed Time-dependent Exact Diagonalization (ED) and adaptive Time-dependent Density Matrix Renormaliation (t-DMRG) methods.
1. Using t-ED and t-DMRG, we study dipolar hardcore Bosonic and Fermionic systems to find onset and distance of various quantum exotic phases and phase transitions, including thermal and many-body systems and Anderson localisations when other interactions /disorder/impurity potential are turned on.
2. t-ED and t-DMRG are used to study various non-linear and high field coefficients and frequencies appropriately considering terms in the Hamiltonianfor quantum systems
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