Phase space methods in finite quantum systems.
Year: 2009
Type: dissertation
Abstract: Quantum systems with finite Hilbert space where position x and momentum \np take values in Z(d) (integers modulo d) are considered. Symplectic tranformations \nS(2¿,Z(p)) in ¿-partite finite quantum systems are studied and \nconstructed explicitly. Examples of applying such simple method is given \nfor the case of bi-partite and tri-partite systems. The quantum correlations \nbetween the sub-systems after applying these transformations are discussed \nand quantified using various methods. An extended phase-space x¿p¿X¿P \nwhere X, P ¿ Z(d) are position increment and momentum increment, is introduced. \nIn this phase space the extended Wigner and Weyl functions are \ndefined and their marginal properties are studied. The fourth order interference \nin the extended phase space is studied and verified using the extended \nWigner function. It is seen that for both pure and mixed states the fourth \norder interference can be obtained.
Author: Hilal Al Hadhrami
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1522609036