2014/05/10 by А. М. Чеботарев, A. M. Chebotarev, Chebotarev, A. M. +3
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.48550/arxiv.1405.2473
18 pages
openalex publication_date 2014/05/10 · arxiv created 2014/05/15 · arxiv updated 2014/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present a pure algebraic construction of the normal factorization of multimode squeezed states and calculate their inner products. This procedure allows one to orthonormalize bases generated by squeezed states. We calculate several correct representations of the normalizing constant for the normal factorization, discuss an analogue of the Maslov index for squeezed states, and show that the Jordan decomposition is a useful mathematical tool for problems with degenerate Hamiltonians. As an application of this theory we consider a non-trivial class of squeezing problems which are solvable in any dimension.