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Journal of Xinyang Normal University

The Controlling of the Quantum Statistical Properties of Light Fields with k Photons and Non-resonance

Dong-Yan Lv

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

Considering two-mode entangled coherent light fields,one mode of the fields is poured into the cavity and interacts with a two-level atom by k photons non-resonantly.After the evolution of Cavity-QED,we have a selective measurement to the atom.Through operating the evolution time,the number of transition photon and detune,we can control the quantum statistical property of the light fields outside of the cavity.After comparative analysis,it is found that,comparing with single photon process and the multiple-photon process,the diversification of anti-bunching and squeezing of the light fields is better.

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Considering two-mode entangled coherent light fields,one mode of the fields is poured into the cavity and interacts with a two-level atom by k photons non-resonantly.After the evolution of Cavity-QED,we have a selective measurement to the atom.Through operating the evolution time,the number of transition photon and detune,we can control the quantum statistical property of the light fields outside of the cavity.After comparative analysis,it is found that,comparing with single photon process and the multiple-photon process,the diversification of anti-bunching and squeezing of the light fields is better.
Considering two-mode entangled coherent light fields,one mode of the fields was poured into the cavity with a two-level atom and interacted with it by k photons non-resonantly.During the course of cavity-QED evolution of the total system,a selective measurement of the atom was carried out.Through manipulating the evolution time and the parameter of the coherent field which interacted with atom,in certain conditions,the non-classical light such as anti-bunching and squeezing state can be generated,and the strength of non-classical property can be changed.In this way by using the technique for cavity-QED with k photons non-resonantly and the entangled correlation between the coherent light fields,control or change the non-classical properties of coherent light fields remotely without direct measurement was implemented effectively.
We consider the case that one of the two initially entangled V-type three-level atoms is injected into a two-mode cavity and resonantly interacting with a two-mode field initially in a SU(2) coherent state.Nonclassical properties of the two-mode correlated field are investigated numerically.The influences of the state-selective measurement of the atom outside the cavity,the total photon number of the two modes,and the partition parameter on the difference squeezing,the Cauchy-Schwarz inequality,the mode-correlation properties,and the photon number distribution are discussed.The results indicate when the state-selective measurement is performed on the atom outside the cavity or the total photon number is increased,the difference squeezing and the sub-Poisson distribution of the photon number of mode a is distinctly enhanced,but the anti-correlation between the two modes is distinctly reduced.
A two-level atom drvien by a strong classical field interacts with a single-mode light field, and the interaction between the atom and the light field can turn into an effective anti-Jaynes-Cummings model under the conditions of strong driving and large detuning. In this paper, we mainly study the two-mode entangled coherent light field in this model, in which one mode of the entangled coherent light field interacts with a two-level atom driven by a strong classical field. During the evolution of the total system, we make a selective measurement on the atom. Through tuning the evolution time and the parameter of the coherent field, we can easily control the quantum statistical properties of the other mode of the entangled light fields and generate the expected non-classical light field in a longer interaction time and a wider region of coherent parameter.
Quantum statistic properties of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the sub-Poisson statistics,the coherent properties of two-mode cavity field,photon bunching and anti-bunching,and the violations of Cauchy-Schwarz inequality on the average photon number of the cavity mode,the coupling constant and the interaction time is discussed in three cases:(1) no state-selective measurement on the atom;(2) direct state-selective measurement on the atom;(3) state-selective measurement on the atom after the application of a classical field.The results indicate,when the state-selective measurement is performed on the atom,the sub-Poisson statistic properties is distinctly enhanced,the anti-correlative degree between two-mode is distinctly deadened,and the Cauchy-Schwarz inequality is always violated;the mode a anti-bunching exhibits when the state-selective measurement is performed on the atom and the average photon number difference of the two cavity modes is large.
Considering two two-level atoms initially in the entanglement state,one atom of two atoms is put into initially Fock state light cavity and has resonant interaction.The entanglement evolution between atom in cavity and light field is investigated.Negativity is used to quantify the degree of entanglement.Through comparing the results if direct selective measurement is performed or not,the influences of state-selective measurement of the atom outside the cavity on the entanglement properties of between atom inside cavity and field are discussed.The results obtained using the numerical method show that the entanglement between atom inside cavity and light field is strengthened through the state-selective measurement of the atom outside the cavity.
Considering three two-level atoms initially in the W or Greenberger—Home—Zeilinger (GHZ) state, one of the three atoms is put into an initially coherent light cavity and made to resonantly interact with the cavity. The two-atom entanglement evolution outside the cavity is investigated. The influences of state-selective measurement of the atom inside the cavity and strength of the light field on the two-atom entanglement evolution outside the cavity are discussed. The results obtained from the numerical method show that the two-atom entanglement outside the cavity is strengthened through state-selective measurement of the atom inside the cavity. In addition, the strength of the light field also influences the two-atom entanglement properties.