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quant-ph2023
Nonlocal Potentials and Crystalline Order in One and Two Dimensions
Moorad Alexanian
We revisit the seminal 1968 proof of the absence of crystalline order in two dimensions and analyze the importance played in the quantum theorem by the assumption of local pair pot…
cond-mat.quant-gas2023
Nearest-Neighbor Tunneling Ansatz in the Bose-Hubbard Mode
Moorad Alexanian
A recently introduced recurrence-relation ansatz applied to the Jaynes-Cummings-Hubbard model is here applied to the Bose-Hubbard model that reduced the model to an easily soluble…
quant-ph2023
Particle-Hole Ansatz in the Jaynes-Cummings-Hubbard Model
Moorad Alexanian
A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordi…