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Acta Sinica Quantum Optica

Atomic Two-mode Squeezing Properties in Raman-Coupled Bose-Einstein Condensates

Cao Yong-zheng

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Atomic squeezing properties in Roman-Coupled Bose-Einstein Condensate are studied analytically and numerically.The dependence of two-mode squeezing on the parameters is investigated in detail.It is found that the degree of two-mode squeezing can be enhanced by increasing the initial intensity and the strength of inter-atomic weak nonlinear interactions and decreasing the tunneling coupling strength.

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Acta Physica Sinica•Jan 1, 2014•1 citation
Atomic squeezing properties in Roman-Coupled Bose-Einstein Condensate are studied analytically and numerically.The dependence of two-mode squeezing on the parameters is investigated in detail.It is found that the degree of two-mode squeezing can be enhanced by increasing the initial intensity and the strength of inter-atomic weak nonlinear interactions and decreasing the tunneling coupling strength.
In this paper atomic squeezing properties of Bose-Einstein Condensate in electromagnetically induced transparency are studied analytically and numerically. The dependence of single-mode squeezing and two-mode squeezing on the parameters is investigated in detail. It is found that the degree of single-mode squeezing can be enhanced by increasing the initial intensity of the field in this mode and decreasing the interaction between two modes and that of two-mode squeezing can be enhanced by increasing the initial intensity in both modes and the interaction between two modes.
Dynamical evolution of quantum mechanical squeezing and entanglement in a two-mode Bose-Einstein condensate (TBEC) with an adiabatic, time-varying Raman coupling is studied by finding analytical expressions for these quantities. In particular, we study the entanglement between the atoms in the condensate as well as that between the two modes. The nature of the enhanced quantum correlations in TBEC is clarified by considering squeezing and entanglement both with and without the nonlinear interaction turned on; it is found that entanglement approaching maximal value can be achieved with the nonlinear interactions present. Somewhat counterintuitively, greater squeezing is found in the absence of nonlinear interactions. This is due to the collapses and revivals of the TBEC quantum state induced by the nonlinear interactions. In addition, results involving the self-trapping phase state of TBEC indicate potential for creating a dynamically stable, macroscopic entangled quantum state which is relatively robust with respect to atom number fluctuations.
We study the spin squeezing in a spin-1/2 Bose-Einstein condensates (BEC) with Raman-induced spin-orbit coupling (SOC). Under the condition of two-photon resonance and weak Raman coupling strength, the system possesses two degenerate ground states, using which we construct an effective two-mode model. The Hamiltonian of the two-mode model takes the form of the one-axis-twisting Hamiltonian, which is known to generate spin squeezing. More importantly, we show that the SOC provides a convenient control knob to adjust the spin nonlinearity responsible for spin squeezing. Specifically, the spin nonlinearity strength can be tuned to be comparable to the two-body density-density interaction, and hence is much larger than the intrinsic spin-dependent interaction strength in conventional two-component BEC systems such as 87Rb^{87}\mathrm{Rb}87Rb and 23Na^{23}\mathrm{Na}23Na in the absence of the SOC. We confirm the spin squeezing by carrying out a fully beyond-mean-field numerical calculation using the truncated Wigner method. Additionally, the experimental implementation is also discussed.
The Hamiltonian operator of two-mode light field interacting with Bose-Einstein condensate(BEC) of two-level atoms is improved in terms of the lattice-liquid model,and the squeezing properties of two-mode squeezed field interacting with Bose-Einstein condensate of two-level atoms are studied.The results show that two quadrature components of light can be squeezed periodically,the maximum depth of squeezing is closely correlated to the initial squeezing parameter of light,and the duration is determined by the frequency of the light field.
The Hamiltonian operator of a system of two-level atomic Bose-Einstein condensate interacting with two-mode squeezed coherent light field is improved in terms of the lattice-liquid model. The squeezing properties of atom laser in this system are studied. Results show that the two quadrature components of the atom laser can be squeezed periodically, and the maximum depth depends greatly on the initial squeezing factor of the light field. The collapse-revival oscillatory frequency of the atom laser and the quantum Rabi frequency are largely determined by the interaction intensity between the light field and the atoms and by the circle frequency of the light field, respectively.