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Chinese Journal of Quantum Electronics

Quantum statistical properties of entangled light fields in nondegenerate k-photon J-C model

Zhou Yuan

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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SPIE Conference on Quantum and Nonlinear Optics•Oct 12, 2023•0 citations
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.
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.
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.
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.
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.
Statistic properties of photon in the system 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 statistic properties of photon on the total photon number of the two-mode,the partition parameter and the coupling constant are discussed for three cases:①no state-selective atomic measurement;②direct state-selective atomic measurement;③state-selective atomic measurement after the application of a classical field.The results indicate that when the direct state-selective measurement is performed on the atom,the average intensity of the sub-poisson statistic distribution of mode a is enhanced;when the partition parameter is decreased,the average intensity of the sub-poisson statistic distribution of mode a is reduced and that of mode b is enhanced;when the state-selective mesurement is performed on the atom,the Cauchy-Schwarz inequality is violated;when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom,the anti-correlation character between the two modes is preserved,but the average intensity of the anti-correlation is reduced.
Cavity quantum electrodynamics is the intersection of quantum physics and microcavity optics research. In this paper, we presented a two-mode cavity coupled to a classical field driven by N three-level atoms to prepare entangled coherent states based on cavity QED. In this scheme, we adopt the interaction between the three-level atoms and the two-mode optical cavity, The initial state of one optical field is an odd-even coherent state, while the initial state of another optical field is a coherent state. After considering the time evolution of the initial states with the system, we obtained the specific form of the time evolution of the quantum states and prepared the entangled coherent state successfully. We discussed and analysed some of the nonclassical properties of the optical field and quantum states, including the second-order correlation function and the Wigner function. The results show that when calculating the second-order correlation function, the photons are found to exhibit a sub-Poisson distribution at some points in time. In addition, when observing the Wigner function of the quantum states evolving with time, it is found that there is a negative part of the Wigner distribution at some moments, which implies that the quantum state exhibits nonclassical properties at these certain moments.