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A Method of Calculating the Density Matrix for a System of Interacting Bosons in Coherent‐state Basis
Author(s) -
Trung T. V.,
Schütte F.J.
Publication year - 1977
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19774890405
Subject(s) - basis (linear algebra) , boson , physics , operator (biology) , coherent states , density matrix , fock state , unitary state , matrix (chemical analysis) , state (computer science) , statistical physics , parametric statistics , field (mathematics) , quantum mechanics , representation (politics) , fock space , computer science , quantum , mathematics , algorithm , statistics , pure mathematics , repressor , law , politics , gene , materials science , chemistry , composite material , biochemistry , geometry , political science , transcription factor
The time‐dependent behaviour of a system of several interacting boson modes is described in coherent state basis. In the Schrödinger picture the unitary time development operator is used. The variation of the density operator for the whole system is described for arbitrary situations (even such without P ‐representation). The method is applied to the parametric amplification process with strong pump field.