Nonlinear thermal coherent states

Abstract

Coherent states and their generalizations are normally appropriate candidates for describing radiation fields. Despite this, the effect of thermal noise on generalized coherent states has not been extensively studied. In fact, thermal effects are unavoidable at finite temperatures, and they should be taken into account to have a better agreement with experimental results. In this regard, we use the concept of thermal coherent states, which are indeed the standard coherent states including thermal effects. So, in this paper, by using a nonlinear coherent states approach, we generalize the thermal coherent states to their nonlinear counterparts. In other words, we find a natural link between the thermal coherent states and the nonlinear coherent states associated with nonlinear oscillator algebra. Afterwards, the nonclassicality features of the obtained states are numerically investigated to explore the roles of both nonlinearity and thermal noise in physical properties. The results show that the thermal effects lead to the transition from nonclassical states to classical ones. Moreover, it is seen that the operator-valued intensity-dependent function plays a leading role in controlling the depth as well as the domain of nonclassicality aspects.

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

“…with (n) = ⟨n|̂|n⟩, which satisfy the inequality R n + R ≥ ln 2 . Consequently, two following quantities are suggested [79][80][81]…”

Nonclassicality of entangled Schrödinger cat states associated to generalized displaced Fock states

“…We should note that many works have been done to show the nonclassicality of nonlinear light. In this sense, displaced excited CSs [31], nonlinear quantum optical spring [32], nonlinear motional trio CSs [33], f-deformed charge CSs [34], nonlinear elliptical states [35], nonlinear CSs of the para-Bose oscillator [36] and nonlinear thermal CSs [37] can be of interest.…”