79 citations · 748 across the 44 of their papers we have counts for
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cond-mat.quant-gas2021★ 1 cited
The variational theorem for the scattering length in low dimensions and its applications to universal systems
Alexander Yu. Cherny
The variational theorem for the scattering length [Cherny and Shanenko, Phys. Rev. E 62, 1646 (2000)] is extended to one and two dimensions. It is shown that the arising singularit…
cond-mat.quant-gas2021★ 3 cited
Tan's adiabatic sweep theorem from the variational theorem for the scattering length
Alexander Yu. Cherny
It is shown that variation of the one-particle dispersion in a universal many-body system enables us to obtain Tan's adiabatic sweep theorem and its generalization. The derivation…
cond-mat.dis-nn2021★ 3 cited
Anderson localization of excitations in disordered Gross-Pitaevskii lattices
Yagmur Kati, Mikhail V. Fistul, Alexander Yu. Cherny +1
We examine the one-dimensional Gross-Pitaevskii lattice at zero temperature in the presence of uncorrelated disorder. We obtain analytical expressions for the thermodynamic propert…