Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space

Autor: Miguel Baltazar, Iván F. Valtierra, Andrei B. Klimov

Publikováno v: Entropy, Vol 24, Iss 11, p 1580 (2022)

We derive the explicit differential form for the action of the generators of the SU(1,1) group on the corresponding s-parametrized symbols. This allows us to obtain evolution equations for the phase-space functions on the upper sheet of the two-sheet

Externí odkaz: https://doaj.org/article/4236a1af464145b3831fe2da2116234a

$\mathcal {P}\mathcal {T}$-symmetry in Compact Phase Space for a Linear Hamiltonian

Autor: Adrian Ortega, Thomas Gorin, Mario Gaeta, Iván F. Valtierra

Publikováno v: International Journal of Theoretical Physics. 60:3286-3305

We study the time evolution of a $\mathcal {P}\mathcal {T}$ -symmetric, non-Hermitian quantum system for which the associated phase space is compact. We focus on the simplest non-trivial example of such a Hamiltonian, which is linear in the angular m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba4784ad162d3232bd2ce4876585148f
https://doi.org/10.1007/s10773-021-04905-x

Quasiprobability currents on the sphere

Autor: Luis L. Sánchez-Soto, Andrei B. Klimov, Iván F. Valtierra, Gerd Leuchs

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We present analytic expressions for the $s$-parametrized currents on the sphere for both unitary and dissipative evolutions. We examine the spatial distribution of the flow generated by these currents for quadratic Hamiltonians. The results are appli

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0aed01604e6062d9ece2497766ebe03

The Wigner flow on the sphere

Autor: Luis L. Sánchez-Soto, Gerd Leuchs, Andrei B. Klimov, Iván F. Valtierra, Popo Yang, Ray-Kuang Lee, Shin-Tza Wu

Publikováno v: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
Physica Scripta
E-Prints Complutense. Archivo Institucional de la UCM
instname

We derive a continuity equation for the evolution of the SU(2) Wigner function under nonlinear Kerr evolution. We give explicit expressions for the resulting quantum Wigner current, and discuss the appearance of the classical limit. We show that the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2af9bbf66c596152e71d68a3894179d

Correlation transfer in large-spin chains

Autor: J. L. Romero, Iván F. Valtierra, Andrei B. Klimov

It is shown that transient spin-spin correlations in one-dimensional spin S>>1 chain can be enhanced for initially factorized and individually squeezed spin states. Such correlation transfer form "internal" to "external" degrees of freedom can be wel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df922b97443eb84a73faa3cc6be34f9d
http://arxiv.org/abs/1605.09476