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ВИДЕОТЕКА |
Международная конференция «QP 34 – Quantum Probability and Related Topics»
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On the normal form of multimode squeezings A. M. Chebotarev, T. V. Tlyachev, A. E. Teretenkov, V. V. Belokurov M. V. Lomonosov Moscow State University |
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Аннотация: We describe the solution of algebraic equations for the coefficients of the normal factorization $$ U_t=e^{i\widehat H t}=e^{s_t}e^{-\frac{1}{2}(a^\dagger,R_ta^\dagger)-(g_t,a^\dagger)}\,e^{(a^\dagger,C_t a)}\,e^{\frac{1}{2} (a,\overline\rho_t a)+(\overline f_t,a)} $$ of the unitary group $$ \widehat H= \frac{i}{2}((a^\dagger,Aa^\dagger)-(a,\overline A a))+(a^\dagger,B a)+i(a^\dagger,h)-i(a,\overline h) $$ in terms of the matrices Язык доклада: английский |