117 citations · 808 across the 28 of their papers we have counts for
28 papers
Bäcklund Transformation for the BC-Type Toda Lattice
Vadim Kuznetsov, Evgeny Sklyanin
We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its…
Eigenproblem for Jacobi matrices: hypergeometric series solution
Vadim B. Kuznetsov, Evgeny K. Sklyanin
We study the perturbative power-series expansions of the eigenvalues and eigenvectors of a general tridiagonal (Jacobi) matrix of dimension d. The(small) expansion parameters are b…
Integrable dynamics of coupled Fermi-Bose condensates
Emil A. Yuzbashyan, Vadim B. Kuznetsov, Boris L. Altshuler
We study the mean-field dynamics of a fermionic condensate interacting with a single bosonic mode (a generalized Dicke model). This problem is integrable and can be mapped onto a c…
Nonequilibrium Cooper pairing in the nonadiabatic regime
Emil A. Yuzbashyan, Boris L. Altshuler, Vadim B. Kuznetsov +1
We obtain a complete solution for the mean-field dynamics of the BCS paired state with a large, but finite number of Cooper pairs in the non-adiabatic regime. We show that the prob…
Factorization of symmetric polynomials
Vadim B. Kuznetsov, Evgeny K. Sklyanin
We construct linear operators factorizing the three bases of symmetric polynomials: monomial symmetric functions m(x), elementary symmetric polynomials E(x), and Schur functions s(…
Solution for the dynamics of the BCS and central spin problems
Emil A. Yuzbashyan, Boris L. Altshuler, Vadim B. Kuznetsov +1
We develop an explicit description of a time-dependent response of fermionic condensates to perturbations. The dynamics of Cooper pairs at times shorter than the energy relaxation…