بررسي اثرات خميدگي فضاي فيزيكي بر دماسنجي كوانتومي و ترموديناميك سامانه¬هاي اپتيك كوانتومي

Abstract Although the curvature effects predicted by general relativity are enormous on cosmic scales, their effects in Earth laboratories are exceedingly weak an‎d challenging to detect. In this thesis, rather than relying on a direct application of general relativity, we employ an analog model to investigate the effects of spatial curvature on non-classical features of quantum optical an‎d quantum thermodynamic systems. This approach provides a bridge connecting quantum optics, quantum thermodynamics, deformed algebras, an‎d gravitational effects. In this analog model, we employ quantum oscillators on a circle to investigate the effects of spatial curvature on the non-classical features of quantum optical systems. We will demonstrate that spatial curvature can induce changes in non-classical properties—such as sub-Poissonian photon statistics, Wigner function negativity, entanglement an‎d squeezing. Consequently, this approach enables the experimental study of curvature-induced effects. Furthermore, the prediction of shortened revival times due to spatial curvature, analogous to gravitational time dilation, can be regarded as one of the innovative insights of this thesis. Additionally, by employing a quantum oscillator on a circle as the working substance of a quantum Otto engine, we derive its thermal efficiency an‎d demonstrate that the Carnot efficiency can be achieved by changing the curvature. Moreover, our analog model reveals that spatial curvature reduces both the intensity an‎d the spectral width of blackbody radiation, while inducing a redshift in the peak frequency. We will also show that spatial curvature affects the Fisher information function an‎d the uncertainty in parameter estimation for determining the temperature of the quantum system. Finally, using this analog model, we will address the estimation of spatial curvature an‎d temperature an‎d introduce a quantum thermometer with precision at the level of fundamental quantum bounds.

6

احسان عموقربان

166884