TY - JOUR

T1 - Biphotons propagation through a thin lens: A Bogoliubov transformation approach

AU - Tomilin, V. A.

AU - Rostom, A. M.

AU - Il'ichov, L. V.

N1 - This work was supported by the State Order (project 124041700105-5) at the Institute of Automation and Electrometry SB RAS .

PY - 2025/6

Y1 - 2025/6

N2 - We consider spatial correlations of biphoton components parametrically generated in a flat and thin non-linear medium and transformed by a thin lens. Utilizing the Bogoliubov transformation, we derive analytical formulae that facilitate the determination of the spatial behavior of the biphoton not only in the image or Fourier planes, but also in any other intermediate planes. We briefly discuss statistical properties of biphoton components in terms of their Bogoliubov coordinates.

AB - We consider spatial correlations of biphoton components parametrically generated in a flat and thin non-linear medium and transformed by a thin lens. Utilizing the Bogoliubov transformation, we derive analytical formulae that facilitate the determination of the spatial behavior of the biphoton not only in the image or Fourier planes, but also in any other intermediate planes. We briefly discuss statistical properties of biphoton components in terms of their Bogoliubov coordinates.

KW - Biphotons

KW - Bogoliubov transformation

KW - Entanglement

KW - Spontaneous parametric down-conversion

UR - https://www.mendeley.com/catalogue/2a824c59-7dfa-38a7-bf64-586676d2f450/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85219494309&origin=inward&txGid=348788280e232dd64f80a3719a229d3e

U2 - 10.1016/j.optcom.2025.131658

DO - 10.1016/j.optcom.2025.131658

M3 - Article

VL - 583

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

M1 - 131658

ER -