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ACTA PHOTONICA SINICA

Fidelity of Quantum States in the Jaynes-Cummings Model with a Time-varying Frequency Field

Lu Dao

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Using the Jaynes-Cummings model,the dynamical properties of the fidelity of quantum states in the system that consists of a two-level atom interacting with a single-mode field are studied.The frequency of the field varying with time in the form of sine is considered.The results obtained by numerical calculations show that the time-evolution behavior of the fidelities of field and system are not influenced by the frequency variation of field,but the time-evolution behavior of the fidelity of atom is modulated by the frequency variation of field.The larger the amplitude of the field frequency variance u is,the stronger modulation interaction of the field frequency variance is.When the amplitude u is larger than a fixed value,the time-evolution behavior of the fidelity of atom will display periodic oscillation behavior.Its oscillation period is in agreement with the period of frequency varying.

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Using the Jaynes-Cummings model,the dynamical properties of the fidelity of quantum states in the system that consists of a two-level atom interacting with a single-mode field are studied.The frequency of the field varying with time in the form of sine is considered.The results obtained by numerical calculations show that the time-evolution behavior of the fidelities of field and system are not influenced by the frequency variation of field,but the time-evolution behavior of the fidelity of atom is modulated by the frequency variation of field.The larger the amplitude of the field frequency variance u is,the stronger modulation interaction of the field frequency variance is.When the amplitude u is larger than a fixed value,the time-evolution behavior of the fidelity of atom will display periodic oscillation behavior.Its oscillation period is in agreement with the period of frequency varying.
Using the multiphoton Jaynes-Cummings model,the dynamical properties of the fidelity of quantum states in the system that consists of a two-level atom interacting with a single-mode field via multiphoton transition are studied.The frequency of the field varying with time in the form of sine is considered.The results obtained by numerical calculations show that the time-evolution behavior of the fidelities of field and system is not influenced by the frequency variation of field,but the time-evolution behavior of the fidelity of atom is modulated by the frequency variation of field.The larger the amplitude of the field frequency variance u is,the stronger modulation interaction of the field frequency variance is.When the amplitude u is larger than a fixed value,the time-evolution behavior of the fidelity of atom will display quasiperiodic oscillation behavior.Its oscillation period is in agreement with the period of frequency varying.The initial state of atom influences the time-evolution behavior of the fidelity of atom.
By using the multiphoton Jaynes-Cummings model,the dynamical properties of the field entropy in the system that consists of a two-level atom interacting with a single-mode field via multiphoton transition are studied.The frequency of the field varying with time in the form of u sin wt has been considered.The results show that the time-evolution behavior of the field entropy is modulated by the frequency variation of field using the numerical.The modulation intensity is enchanced as the amplitude u of frequency variation of field increases.When the amplitude u of the time varying fields is larger than a fixed value,the time-evolution behavior of the field entropy will display periodic oscillation behavior.Its oscillation period agrees with the period of frequency varying.It shows that the evolution of field entropy is influenced by the frequency parameters w and u of the field varying with time.
Using the multiphoton Jaynes-Cummings model,the antibunching effect of the field in the system of a two-level atom interacting with the single mode coherent field through mutiphoton transition is studied.The frequency of the field varying with time in the form of sine is considered.The influences of amplitude and angular frequency of the field-frequency variation on the antibunching effect of the field are discussed by numerical calculations.Calculation results indicate that the time-evolution behavior of second-order correlation function is modulated by the field-frequency variation.The modulation intensity is enchanced as the amplitude u of field-frequency variation increases,and when the amplitude u of field-frequency variation is larger than a fixed value the time-evolution of second-order correlation function will display periodic oscillation behavior.Its oscillation frequency is in agreement with the angular frequency of field-frequency variation.The antibunching effect of field decreases as the amplitude u of field-frequency variation increases.
Using the multiphoton Jaynes-Cummings model,the squeezing effect of the field in the system of a two-level atom interacting with the single mode coherent field through mutiphoton transition was studied.The frequency of the field varying with time in the form of sine was considered.The influences of amplitude and angular frequency of the field-frequency variation on squeezing effects of the field were discussed by numerical calculations.The influences of mean photon number of the field on squeezing effects of the field were also discussed.Calculation results indicate that the squeezing effects of field strengthens with the increase of the amplitude u of field-frequency variation and weaken with the increase of mean photon number of the field.The time-evolution behavior of quadrature squeezing function Q1 is modulated by the field-frequency variation.The modulation intensity is enchanced with the increase of the amplitude u of field-frequency variation,and when the amplitude u of field-frequency variation is larger than a fixed value,the time-evolution of quadrature squeezing function Q1 will display quasi-periodicity oscillation behavior.Its oscillation frequency agrees with the angular frequency of field-frequency variation.
The interaction between a three-level cascade atom and an initial coherent field with a time-varying frequency has been investigated, including the dynamic behavior of the atomic level occupation probabilities and the entanglement between the atom and the field. The frequency of the field is modulated in the forms of sine and rectangle. It is found that the field-frequency variation has a great influence on the properties of the generalized Jaynes-Cummings model. Appropriate frequency modulation can enhance and stabilize the degree of entanglement between the atom and the field.