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Acta Physica Sinica

Wigner-Yanse skew information of the system with the electromagnetically induced transparency

Jing Wen Fu, Wanfang Liu, Yujie Zhao

Published Jan 1, 2013• 0 citations
Publisher

Abstract

The quantum-information theoretic notation of the Winger-Yanse skew information has been used to analyze the process of information transfer between probe fields and atomic ensemble in the electromagnetically induced transparency. It is well known that the skew information is a well-defined measure that quantifies the amount of the information a quantum state contains. We have calculated the dynamical skew information of the probe fields and the atomic ensemble, and found that the information for the individual atom is dependent of the numbers of the particles and the photons, as well as the state of the probe field. For a sufficiently weak coherent driving field, the dark-state polaritons is a purely atomic state with no photons in the composite system, and the information of the individual atom reaches the maximum value. However, the information of the probe field is not completely transferred into the atomic ensemble.

DOI
10.7498/aps.62.170302

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The quantum-information theoretic notation of the Winger-Yanse skew information has been used to analyze the process of information transfer between probe fields and atomic ensemble in the electromagnetically induced transparency. It is well known that the skew information is a well-defined measure that quantifies the amount of the information a quantum state contains. We have calculated the dynamical skew information of the probe fields and the atomic ensemble, and found that the information for the individual atom is dependent of the numbers of the particles and the photons, as well as the state of the probe field. For a sufficiently weak coherent driving field, the dark-state polaritons is a purely atomic state with no photons in the composite system, and the information of the individual atom reaches the maximum value. However, the information of the probe field is not completely transferred into the atomic ensemble.
We analyse a dynamical swapping of the quantum state in coupled harmonic oscillators. The result can be applied to the interaction of a single-mode field with atomic ensemble in the weak field case. Similar to the case of electromagnetic induced transparency (EIT), a dynamic polariton is formed. Therefore, the quantum state of the field can be completely mapped on to the atomic medium, and vice versa. Using this dynamical swapping and the adiabatic transfer in the EIT between the field and atomic ensemble, we propose a scheme in which both the quantum and the coherent information can be transferred from one field to another.
We analyse a dynamical swapping of the quantum state in coupled harmonic oscillatros,the result can be applied to the interaction of a single-mode field with atomic ensemble in the weak field case,Similar to the case of electromagnetic induced transparency(EIT),a dynamic polariton is formed.Therefore,the quantum state of the field can be completely mapped on to the atomic medium,and vice versa,Using this dynamical swapping and the adiabatic transfer in the EIT between the field and atomic ensemble,we propose a scheme in which both the quantum and the coherent information can be transferred from one field to another.
Abstract Dark state polariton, as an important concept in the mechanism of electromagnetic induced transparency (EIT), can map the state of bosonic fields to atomic ensembles. To reflect the mapping ability of dark state polariton, we choose the odd and even bosonic coherent states as the probe field in EIT process, and employ spin squeezing, entanglement, and quantum correlation to characterize nonclassical correlations of atomic ensembles during the manipulation of the driving field. It is shown that the differences between the odd and even coherent states are comprehensively reflected in the three characterizations of nonclassical correlations generated through dark state polaritons. The even bosonic coherent states can perfectly transfer bosonic squeezing into atomic ensembles, resulting in spin squeezing. Although the odd bosonic coherent states cannot induce the spin squeezing, they have an advantage over the even bosonic coherent states in generating quantum entanglement and quantum correlations. Furthermore, we demonstrate that atomic ensembles can achieve significant spin squeezing with squeezing degree ∝ 1/N 2/3 through the one-axis twisting (OAT) model and two-axis twisting (TAT) model under the large N limit with the low excitation conditions, and the EIT mechanism was used to transfer the generated spin squeezing to the bosonic field, providing a feasible strategy for obtaining significant bosonic squeezing.
We study in detail the interesting dynamical symmetry and its applications in various atomic systems with electromagnetically induced transparency (EIT) in this paper. By discovering the symmetrical Lie group of various atomic systems, such as single-atomic-ensemble composed of complex mmm-level (m>3)(m>3)(m>3) atoms, and twotwotwo-atomic-ensemble and even multi-atomic-ensemble system composed of of threethreethree-level atoms etc., one can obtain the general definition of dark-state polaritons (DSPs), and then the dark-states of these different systems. The symmetrical properties of the multi-level system and multi-atomic-ensemble system are shown to be dependent on some characteristic parameters of the EIT system. Furthermore, a controllable scheme to generate quantum entanglement between lights or atoms via quantized DSPs theory is discussed and the robustness of this scheme is analyzed by confirming the validity of adiabatic passage conditions in this paper.
The decay mechanism is considered in the one—axis twisting model and the two-countertwisting model for three-qubit system.Exact expression of the final states and the maximal Wigner-Yanse skew information(MSI) are given for different model within the Schrodinger picture.One can find that the MSI is always in the plane(S_x,S_y) Due to the decay mechanism and the nonlinear interaction,the MSI can be modulated and stored.We give the condition for occurrence of GHZ state,in which the MSI can reach the extreme values 9/4.
We analyze electromagnetically induced transparency and light storage in an ensemble of atoms with multiple excited levels (multi-$\ensuremath{\Lambda}$ configuration) which are coupled to one of the ground states by quantized signal fields and to the other one via classical control fields. We present a basis transformation of atomic and optical states which reduces the analysis of the system to that of electromagnetically induced transparency in a regular three-level configuration. We demonstrate the existence of dark state polaritons and propose a protocol to transfer quantum information from one optical mode to another by an adiabatic control of the control fields.