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Acta Physica Sinica

SCHRDINGER CAT STATES IN THE TWO-PHOTON JAYNES-CUMMINGS MODE

Hongyu Liu

Published Jan 1, 1995• 0 citations
OpenAlex

Abstract

In this paper, the entropy evolution, photon-number distribution and phase distribution of the field in two-photon J-C model are Calculated. We have shown the generation of the superposition of Schrodinger cat state in two-photon J-C model with a strong initial field at definite times.

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PRODUCTION AND DETECTION OF SCHRDINGER CAT STATE AND ITS EFFECT ON THE EVOLUTION OF JAYNES-CUMMINGS MODEL

Xiaoguang Wang, 东北师范大学理论物理研究所,长春130024

In this article, we have studied how to generate macroscopic quantum superposition states in electromagnetic field, the Schrodinger cat states, from the large-detuning degenerate Raman process and the large-detuning two-photon Jaynes-Cummings model. The homodyne detection of these states is also discussed. When the initial state of the field is the Schrodinger cat state, the effects of the cat state on the collapse and revival phenomena in the intensity-dependent Jaynes-Cummings model are investigated. The revival in varying degrees occurs in the collapse region resulted from the evolution of initial coherent state.

Acta Physica Sinica•Jan 1, 1996•0 citations

Schrödinger-cat states in the resonant Jaynes-Cummings model: Collapse and revival of oscillations of the photon-number distribution

Vladimír Bužek, H. M. Moya-Cessa, P. L. Knight +1 more

The Jaynes-Cummings model of optical resonance describes the simplest fully quantized interaction between two quantum systems of different nature: a two-level atom (fermionic system) and a quantized field mode (bosonic system). This interaction leads to extreme quantum entanglement of the atom and field. However, the model also predicts that, at precisely half of the revival time, the atom and field become asymptotically disentangled. This disentanglement becomes more exact as the coherent-state amplitude increases. In this paper we investigate the nature of the pure-field-state superposition generated at such times. We show that this superposition is of distinguishable states of the field with the same amplitude but opposite phase. Interference between these components leads to nonclassical oscillations in photon-number distributions and squeezing in quadratures of the field. The Schr\"odinger-cat states of the field are highly transient, and depend very sensitively on the interaction time, the initial intensity of the field, and the atom-field detuning.

Physical Review A•Jun 1, 1992•275 citations

FEATURES OF EVOLUTION FOR STATISTICAL DISTRIBU-TION OF PHOTON IN TWO-PHOTON JAYNES-CUMMINGS MODEL

Lin-sheng He, JIANG HAI-HE, 中国科学院安徽光学精密机械研究所,合肥,230031

The general expression of the statistical distribution function of photons in two-photon Jaynes-Cummings model (JCM) is derived. The expression can be applied to the cases of any initial light field and any initial atomic state. Under exact two-photon resonance, the features of evolution for the statistical distribution of photons in JCM with the initial coherent state field and the initial squeeze state field are studied in detail. These two cases show striking difference.

Acta Physica Sinica•Jan 1, 1991•0 citations

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In this paper, we study the evolution of two two-level atoms interacting with a single-mode quantized radiation field, namely, the two-atom multiphoton Jaynes–Cummings model (JCM). We assume that the field and the atoms are initially prepared in the superposition of displaced number states and excited atomic states, respectively. For this system, we investigate the atomic inversion, Wigner function, phase distribution and entanglement. We show that for symmetric (asymmetric) atoms, the system can generate asymmetric (symmetric) cat states at a quarter of the revival time. Furthermore, the degrees of entanglement for the field–atoms and the one-atom–remainder tangles depend on the rate of energy flow between the parties. The interference in phase space decreases the degree of entanglement in the bipartite.

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ENTROPY PROPETIES AND SCHRODINGER-CAT STATES OF THE FIELD INTERACTING WITH A Ξ TYPE THREE-LEVEL ATOM

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In this paper, we study the entropy properties of the field interacting with a Ξ type three-level atom, derive the calculating formula of the field(atomic)ent ropy, and discuss the influence of the initial atomic state and the one-photon d etuning on the field(atomic)entropy. With the help of Q function of the field(qu asiprobability distribution), the statistical properties of the field states are discussed. It is shown that the field is in the Schrodinger-Cat state at t=12TR when the atom is initially in the middle-level.

Acta Physica Sinica•Jan 1, 2000•0 citations

Evolution of wave functions in the two-photon Jaynes-Cummings model: The generation of superpositions of coherent states

Tahira Nasreen, Khalid Zaheer

The pure-state evolution of the atomic as well as the field states in the resonant two-photon Jaynes-Cummings model with the field initially in the coherent state is studied. Analytic expressions for various quantities involved are obtained under the large-n\ifmmode\bar\else\textasciimacron\fi{} approximation. It is shown that the atom as well as the field are approximately in the pure state for gt=k\ensuremath{\pi}/4, where k is an integer and in a completely pure state for gt=k\ensuremath{\pi}. The field states generated at the times gt=k\ensuremath{\pi}/4 are shown to be a quantum superposition of the coherent states for a particular choice of the relative phase. The interference between these states leads to a spiked photon-number distribution but the field is still Poissonian.

Physical Review A•Jan 1, 1994•22 citations
In this article, we have studied how to generate macroscopic quantum superposition states in electromagnetic field, the Schrodinger cat states, from the large-detuning degenerate Raman process and the large-detuning two-photon Jaynes-Cummings model. The homodyne detection of these states is also discussed. When the initial state of the field is the Schrodinger cat state, the effects of the cat state on the collapse and revival phenomena in the intensity-dependent Jaynes-Cummings model are investigated. The revival in varying degrees occurs in the collapse region resulted from the evolution of initial coherent state.
The Jaynes-Cummings model of optical resonance describes the simplest fully quantized interaction between two quantum systems of different nature: a two-level atom (fermionic system) and a quantized field mode (bosonic system). This interaction leads to extreme quantum entanglement of the atom and field. However, the model also predicts that, at precisely half of the revival time, the atom and field become asymptotically disentangled. This disentanglement becomes more exact as the coherent-state amplitude increases. In this paper we investigate the nature of the pure-field-state superposition generated at such times. We show that this superposition is of distinguishable states of the field with the same amplitude but opposite phase. Interference between these components leads to nonclassical oscillations in photon-number distributions and squeezing in quadratures of the field. The Schr\"odinger-cat states of the field are highly transient, and depend very sensitively on the interaction time, the initial intensity of the field, and the atom-field detuning.
In this paper, we study the evolution of two two-level atoms interacting with a single-mode quantized radiation field, namely, the two-atom multiphoton Jaynes–Cummings model (JCM). We assume that the field and the atoms are initially prepared in the superposition of displaced number states and excited atomic states, respectively. For this system, we investigate the atomic inversion, Wigner function, phase distribution and entanglement. We show that for symmetric (asymmetric) atoms, the system can generate asymmetric (symmetric) cat states at a quarter of the revival time. Furthermore, the degrees of entanglement for the field–atoms and the one-atom–remainder tangles depend on the rate of energy flow between the parties. The interference in phase space decreases the degree of entanglement in the bipartite.
In this paper, we study the entropy properties of the field interacting with a Ξ type three-level atom, derive the calculating formula of the field(atomic)ent ropy, and discuss the influence of the initial atomic state and the one-photon d etuning on the field(atomic)entropy. With the help of Q function of the field(qu asiprobability distribution), the statistical properties of the field states are discussed. It is shown that the field is in the Schrodinger-Cat state at t=12TR when the atom is initially in the middle-level.
The pure-state evolution of the atomic as well as the field states in the resonant two-photon Jaynes-Cummings model with the field initially in the coherent state is studied. Analytic expressions for various quantities involved are obtained under the large-n\ifmmode\bar\else\textasciimacron\fi{} approximation. It is shown that the atom as well as the field are approximately in the pure state for gt=k\ensuremath{\pi}/4, where k is an integer and in a completely pure state for gt=k\ensuremath{\pi}. The field states generated at the times gt=k\ensuremath{\pi}/4 are shown to be a quantum superposition of the coherent states for a particular choice of the relative phase. The interference between these states leads to a spiked photon-number distribution but the field is still Poissonian.