We propose a scheme to study the topic of manipulating the Goos-H\"anchen (GH) shift of the reflected beam in an optomechanical cavity (OMC). Our system consists of two mirrors where one is fixed and the other is movable and a two-level atom is trapped inside the OMC. The fixed mirror is partially reflecting, whereas the movable mirror is perfectly reflecting. We theoretically investigated the behavior of the GH shift in the reflected beam when a Gaussian beam is an incident on the OMC. We find that GH shifts can be greatly enhanced in positive or negative directions via manipulating the quantum parameters such as optomechanical strength ${g}_{\text{mc}}$ and atom-cavity strength ${g}_{\text{ac}}$ under the influence of beam width of a Gaussian beam. Besides, we study the GH shift in the case of the partially coherent light beam as an incident probe field. Giant negative GH shift is achieved for an incident partially coherent beam in the presence of ${g}_{\text{mc}}, {g}_{\text{ac}}$ , a measure of global coherence and beam width of a partially coherent beam. The proposed model provides feasibility in practical experiments for studying the behavior of the GH shift.We propose a scheme to study the topic of manipulating the Goos-H\"anchen (GH) shift of the reflected beam in an optomechanical cavity (OMC). Our system consists of two mirrors where one is fixed and the other is movable and a two-level atom is trapped inside the OMC. The fixed mirror is partially reflecting, whereas the movable mirror is perfectly reflecting. We theoretically investigated the behavior of the GH shift in the reflected beam when a Gaussian beam is an incident on the OMC. We find that GH shifts can be greatly enhanced in positive or negative directions via manipulating the quantum parameters such as optomechanical strength ${g}_{\text{mc}}$ and atom-cavity strength ${g}_{\text{ac}}$ under the influence of beam width of a Gaussian beam. Besides, we study the GH shift in the case of the partially coherent light beam as an incident probe field. Giant negative GH shift is achieved for an incident partially coherent beam in the presence of ${g}_{\text{mc}}, {g}_{\text{ac}}$, a measure of global coherence and beam width of a partially coherent beam. The proposed model provides feasibility in practical experiments for studying the behavior of the GH shift.

Physical Review ANov 18, 202022 citations

Two-Level Atoms and Cavity QED

Chapman & Hall/CRC applied mathematics and nonlinear science seriesSep 18, 20060 citations

Squeezing-induced giant Goos-Hänchen shift and hypersensitized displacement sensor in a two-level atomic system

Tao Shui, Wen‐Xing Yang, Qingya Zhang +2 more

We analyze an efficient scheme to enhance the Goos-H\"anchen (GH) shifts of the reflected and transmitted beams in a cavity containing two-level atomic medium. A broadband squeezed vacuum field is injected into the cavity to interact with the atomic medium. In the bad cavity limit, the Bloch equations for the atomic operators are identical to those in the free space, but with the modification of the system parameters. Using experimentally achievable parameters, we identify the conditions under which the squeezed vacuum allows us to enhance the GH shifts of the reflected and transmitted beams beyond what is achievable in the absence of the squeezed vacuum. The enhanced GH shifts originate from the coherent population oscillations controlled by the squeezed vacuum field. Furthermore, we also find that the GH shifts of the reflected and transmitted beams depend sensitively on the relative phase between the control field and the squeezed vacuum field. Subsequently, we propose a scheme for such a configuration of the GH shift as a family of hypersensitized displacement sensors. Based on the numerical analysis, the detection sensitivity and minimum detectable value for the tiny displacement can reach approximately $2340\phantom{\rule{0.16em}{0ex}}\ensuremath{\mu}\mathrm{m}/\mathrm{nm}$ and 14.4 pm, respectively.We analyze an efficient scheme to enhance the Goos-H\"anchen (GH) shifts of the reflected and transmitted beams in a cavity containing two-level atomic medium. A broadband squeezed vacuum field is injected into the cavity to interact with the atomic medium. In the bad cavity limit, the Bloch equations for the atomic operators are identical to those in the free space, but with the modification of the system parameters. Using experimentally achievable parameters, we identify the conditions under which the squeezed vacuum allows us to enhance the GH shifts of the reflected and transmitted beams beyond what is achievable in the absence of the squeezed vacuum. The enhanced GH shifts originate from the coherent population oscillations controlled by the squeezed vacuum field. Furthermore, we also find that the GH shifts of the reflected and transmitted beams depend sensitively on the relative phase between the control field and the squeezed vacuum field. Subsequently, we propose a scheme for such a configuration of the GH shift as a family of hypersensitized displacement sensors. Based on the numerical analysis, the detection sensitivity and minimum detectable value for the tiny displacement can reach approximately $2340\phantom{\rule{0.16em}{0ex}}\ensuremath{\mu}\mathrm{m}/\mathrm{nm}$ and 14.4 pm, respectively.

Physical Review AJan 3, 201938 citations

Adiabatic cavity QED with pairs of atoms

Constantinos Lazarou, B. M. Garraway

arXiv:0803.1479The European Physical Journal Special TopicsJun 17, 20081 citation

CAVITY QED WITH COLD ATOMS

Harry J. Kimble, J. McKeever

Laser SpectroscopyJun 1, 20021 citation

Giant lateral shift in single mode cavity containing four-level sodium atomic medium

Abbas Ghaffar, Rashid Ahmad, Arif Ullah +1 more

Abstract In this work, a four-level sodium atomic medium coupled to a single mode cavity is used to investigate the Goos-Hänchen (GH) shift. Using collective phase of the control fields and intensity of Rabi oscillation, the positive as well as negative GH-shift in transmission and reflection beams are examined. In the transmission beam, a maximum GH-shift of ±6λ is observed. Furthermore, GH-shift in both reflection and transmission beams in a four-level sodium atomic medium is significantly enhanced by photon number density as well as by the cavity coupling strength. By varying the collective phase of the control fields and the probe field frequency, GH-shift in reflection exhibits a maximum value of ±2λ. Our findings may open up significant applications in micro-optics, sensers, photonic crystals and nano processor technology.Abstract In this work, a four-level sodium atomic medium coupled to a single mode cavity is used to investigate the Goos-Hänchen (GH) shift. Using collective phase of the control fields and intensity of Rabi oscillation, the positive as well as negative GH-shift in transmission and reflection beams are examined. In the transmission beam, a maximum GH-shift of ±6λ is observed. Furthermore, GH-shift in both reflection and transmission beams in a four-level sodium atomic medium is significantly enhanced by photon number density as well as by the cavity coupling strength. By varying the collective phase of the control fields and the probe field frequency, GH-shift in reflection exhibits a maximum value of ±2λ. Our findings may open up significant applications in micro-optics, sensers, photonic crystals and nano processor technology.

Physica ScriptaOct 15, 20245 citations

{g}_{\text{mc}}

and atom-cavity strength

{g}_{\text{ac}}

under the influence of beam width of a Gaussian beam. Besides, we study the GH shift in the case of the partially coherent light beam as an incident probe field. Giant negative GH shift is achieved for an incident partially coherent beam in the presence of

{g}_{\text{mc}}, {g}_{\text{ac}}

, a measure of global coherence and beam width of a partially coherent beam. The proposed model provides feasibility in practical experiments for studying the behavior of the GH shift.