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Acta Physica Hungarica B) Quantum Electronics

Dynamics of Three-Level Atoms Coupled to a Displaced-Plus-Squeezed Field

Ali A. Kamli, Smail B. Bougouffa

Published Apr 1, 2005• 4 citations
Publisher
DOI
10.1556/aph.23.2005.1-2.1

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We propose an ultrasensitive displacement measurement scheme to overcome the standard quantum limit (SQL) in the unresolved sideband cavity optomechanical system with nonlinear optomechanical coupling and squeezed light injection. By introducing the optimized quantum correlation, which is enabled by suitable choices of the squeezing angle, squeezing level, power of the probe light, and measurement angle of homodyne detection, the off-resonant displacement sensitivity reaches 6 dB below the SQL in linear optomechanical coupling. In contrast, displacement sensitivities with a coherent probe plus variational readout and squeezed probe plus fixed measurement angle (phase quadrature) are 2.6 dB and 4.6 dB below the SQL, respectively. By combining linear and quadratic optomechanical coupling, we show that the displacement sensitivity can be further improved to 9.6 dB below the SQL. Our results have potential applications in gravitational-wave detectors, quantum metrology, and the search for dark matter.
I consider a lossless micromaser with cascade three-level atoms in a coherent superposition of its three levels. I find that for some values of the atomic flight time and some probability amplitudes for the intermediate atomic level, the field evolves to a pure state which is the well-known general squeezed state, and the squeeze and displacement parameters are functions of the atomic input parameters. Therefore it is possible to choose atomic parameters which produce squeezing in the phase or in the amplitude of the field inside the cavity.
We study the dynamics of an N-level atom coupled in a lossless cavity to a single-mode near-resonant quantized field. The atomic levels are coupled by the multiphoton transitions and the coupling constants between the field and the atomic levels are supposed to be intensity dependent. We find the exact solution for the state vector describing the dynamics of the atom-plus-field system. As an illustration we use the model for studying (i) the time evolution of the atomic occupation probability with the initially coherent field and (ii) the light squeezing, when the cavity field is initially in the vacuum state and the atom is prepared in the atomic ‘coherent state’ (a superposition of atomic states).