Two-mode squeezed state quantisation and semiclassical portraits

Kód výsledku v IS VaVaI

RIV/61389005:_____/22:00558302 - isvavai.cz

Výsledek na webu

https://doi.org/10.1016/j.aop.2022.168888

DOI - Digital Object Identifier

10.1016/j.aop.2022.168888

Jazyk výsledku

angličtina

Název v původním jazyce

Two-mode squeezed state quantisation and semiclassical portraits

Popis výsledku v původním jazyce

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work we define a squeezed state quantisation in two dimensions using several families of squeezed states for one- and two-mode configurations. The completeness relations of the squeezed states are exploited in order to tackle the quantisation and semiclassical analysis of a constrained position dependent mass model with harmonic potential. The effects of the squeezing parameters on the resulting operators and phase space functions are studied, and configuration space trajectories are compared between the classical and semiclassical models.

Název v anglickém jazyce

Two-mode squeezed state quantisation and semiclassical portraits

Popis výsledku anglicky

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work we define a squeezed state quantisation in two dimensions using several families of squeezed states for one- and two-mode configurations. The completeness relations of the squeezed states are exploited in order to tackle the quantisation and semiclassical analysis of a constrained position dependent mass model with harmonic potential. The effects of the squeezing parameters on the resulting operators and phase space functions are studied, and configuration space trajectories are compared between the classical and semiclassical models.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

EF18_053/0017163: Fyzici v pohybu II

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

1096-035X

Svazek periodika

441

Číslo periodika v rámci svazku

JUN

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

168888

Kód UT WoS článku

000804940800003

EID výsledku v databázi Scopus

2-s2.0-85129692512