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ACTA PHOTONICA SINICA

Quantum Properties of the Field in the System of Atoms Interacting with Coupled Cavities Via a Twophoton Hopping Interaction

吴道永 WU Daoyong

Published Jan 1, 2012• 0 citations
Publisher

Abstract

Two coupled cavities each containing one two-level atom are considered,which interacts with cavity via a two-photon hopping.The evolution of the state vector of the system is given when the total excitation number equals two.The squeezing of field is investigated.By means of the numerical calculations,the influences of cavity-cavity coupling constant and atom-cavity coupling constant on the antibunching effect of field are discussed.The obtained results show that the field does not display squeezing,and the antibunching effect of field has a nonlinear relation with cavity-cavity coupling constant or atom-cavity coupling constant.

DOI
10.3788/gzxb20124109.1104

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Two coupled cavities each containing one two-level atom are considered,which interacts with cavity via a two-photon hopping.The evolution of the state vector of the system is given when the total excitation number equals two.The squeezing of field is investigated.By means of the numerical calculations,the influences of cavity-cavity coupling constant and atom-cavity coupling constant on the antibunching effect of field are discussed.The obtained results show that the field does not display squeezing,and the antibunching effect of field has a nonlinear relation with cavity-cavity coupling constant or atom-cavity coupling constant.
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Considering two Λ-type three-level atoms initially in the entangled state, one atom is poured into the cavity and interacts with a two-mode cavity. The squeezing and antibunching effects of the field are investigated. The influences of the selective atomic measurement and the intensity of the coherent field, which interacts with atom on squeezing and antibunching effect of the field, are discussed. The results obtained by numerical calculations show that squeezing and antibunching effect of the field can be strengthened through selective atomic measurement for atom outside of the cavity.
We study the two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities.The evolution of the state vector of the system is given.By means of the numerical calculations,we investigate the evolution of the second-order correlation function of the field and that of Mandel Q function.The influences of coupling constant between cavities and state-selective measurement of the atom on the second-order correlation function and Mandel Q function are discussed.The results obtained show that the second-order correlation function or Mandel Q function has a nonlinear relation with increasing of the cavity-cavity coupling coefficient.On the other hand,the sub-Poissonian distribution of the field can be strengthened through the state-selective measurement on the atom.
The quantum properties of light in the system of two different atoms interacting with two-mode squeezing vacuum field are studied.The effect of the relative coupling constant(R=g1/g2) and initial squeezed parameter r on light squeezing effect and the photon bunching and antibunching are discussed.The numerical results show that vibration range of quantum fluctuation,the biggest squeezing depth and squeezing time and vibration amplitude of second-order coherence is affected by the initial squeezed parameter r.The variation of quantum fluctuation and second-order coherence versus time are affected by the relative coupling constant R.As a result,the squeezing time of quantum fluctuation,the time when light field is in non-classical states and the degree of photon antibunching are also affected by it,but to but it doesn′t have obvious influence on light squeezing depth.
We consider a system consisting of two two-level atoms interacting with two coupled cavities via a two-photon hopping.Two atoms are individually trapped in two coupled cavities.The evolution of the state vector of the system is given by solving the Schrodinger equation.Negativity is used to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolution in the entanglement between atoms and that between atom and cavity.Through comparing the results of different cavity-cavity coupling coefficients,the influence of cavity-cavity coupling coefficient on the entanglement is discussed.The obtained results show that the atom-atom entanglement and atom-cavity entanglement both display the evolution which is from the irregular oscillations to quasi-periodic oscillation with the cavity-cavity coupling coefficient increasing.The average value of atom-atom entanglement and that of atom-cavity entanglement sometimes increase and sometimes decrease.It shows that there is non-linear relationship between atom-atom entanglement and cavity-cavity coupling coefficient,or between atom-cavity entanglement and cavity-cavity coupling coefficient.On the other hand,when the cavity-cavity coupling coefficient is small,the entanglement between atom and cavity exhibits the phenomenon of collapse and recovery.
The two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities is analyzed.The evolution of the state vector of the system is given when the total excitation number equals two.By means of the numerical calculations,the temporal evolution in the entanglement is investigated between the atoms,between the cavities,as well as between the atom and the local cavity mode.The influences of coupling constant between cavities on the entanglements are discussed.The results obtained show that atom and atom are separable,and the cavity-cavity entanglement and the atom-cavity entanglement are weakened with increasing of the coupling constant between cavities.