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Jiguang zazhi

Infiuence of dipole-dipole interaction on the transfer and preservation of quantum entanglement information

Dong Kang-jun

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Using the method of time-evolution operator,the time evolution properties of the system of identical two-level atoms dipole interacting resonantly with a single-mode cavity field in detail by means of quantum theory is discused.The influence of dipole-dipole interaction on the transfer and preservation of quantum entanglement information is analyzed.The calculation and analysis indicates that the procedure of the swap and conservation of quantum information depends on the initial of the atoms.For W type atoms,the initial entangled information of atoms or photons are contpletely conserved under dipole-dipole interaction intensity satisfying some conditions.It appears also the phenomenon of part exchange and preservation besides some mix entangled states under different conditions.The dipole-dipole interaction doesn't effect on transfer and preservation for GHZ type atom entangled states.

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Using the method of time-evolution operator,the time evolution properties of the system of identical two-level atoms dipole interacting resonantly with a single-mode cavity field in detail by means of quantum theory is discused.The influence of dipole-dipole interaction on the transfer and preservation of quantum entanglement information is analyzed.The calculation and analysis indicates that the procedure of the swap and conservation of quantum information depends on the initial of the atoms.For W type atoms,the initial entangled information of atoms or photons are contpletely conserved under dipole-dipole interaction intensity satisfying some conditions.It appears also the phenomenon of part exchange and preservation besides some mix entangled states under different conditions.The dipole-dipole interaction doesn't effect on transfer and preservation for GHZ type atom entangled states.
The united system is analyzed by using of the viewpoint of quantum informatics.The system consists of many sub-system of multi-photon(N_k pho- tons)far-off resonant interaction of intensity-dependent coupling of two-level atoms with multi-mode(q modes)coherent state light field.It is found that initial quantum entangled information in the cavities or atoms can be completely preserved under only controlling the time(gt=/2)of the interaction of atoms with cavity fields.When q=1 and N_k=1,the results obtained will fit the special situation of single-mode single-photon interaction,which the author of this paper have studied recently.The quantum entangled information completely swapped under the simple condition.
From the viewpoint of the quantum information theory,the J-C Model of an atom interacting with a single-model light-field is expanded to a union physical system model which consists of M(where M is any positive integer) pairs of two-level atoms and the M cavity-field with interaction respectively.By solving the evolution matrix of the system state vector,the process of the atoms interacting with the light-field is studied and the principle of exchange and preservation of quantum entanglement information in this system is discussed.It is found that not only the atom entanglement but also the light-field entanglement can be transferred and preserved under different time conditions.At the same time,the different form entanglement states can be prepared by using the interaction of the atoms with the cavity-field.
The time-evolution of atomic population of a light-atoms interaction system,two atoms in Bell states Interacting with two-mode entangled coherent field,are investigated by means of quantum thoery and numerical method.The effect of the atomic initial state,mean photon numbers of field,the degree of the entanglment for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms on the atom's population are discussed by numerical calculation.The results show that the atomic population is time-independent provided that the atom is in |β11〉 state.For the other three Bell states,there will appear the periodical collapse-revival of the atomic population if the initial mean photon number reaches some special value.With the increase of the initial mean photon number,the oscillation frequency of the time-evolution of atomic population increases correspondingly,and the amplitude decreases.The revival period of the atomic population for the initial states |β00〉 and |β10〉 is twice of that for the initial state |β01〉.The degree of entanglement of the two-mode entangled coherent field and the intensity of two dipole-dipole interaction between atoms have no effects on the frequency of the Rabi oscillation,but have obvious effects on the amplitude of the oscillation.
Using the complete quantum theory,the process of M two-level atoms interacting with M multi-mode light fields with intensity-dependent coupling is studied. It is found that quantum entanglement information can be transferred back and forth or be preserved between the cavity fields and atoms under certain time conditions. The entanglement states of the atoms or the cavities can be transferred when t=π/(2λ). The results are verified by numerically computing the entanglement degree. And it was shown that the entanglement states of the atoms or the cavities can be preserved when t=π/λ.
When one of the two entangled two-level atoms interacts with a single-mode vacuum cavity resonantly,an arbitrary state measurement is made on one part of the system to control the entanglement state of the other two parts through choosing evolution times.The paper investigates the evolution characteristics of the three-body entanglement and the entanglement between two parts of the system at different initial state when measurements are not made.The results show that all entanglement in this system oscillates periodically,w-entangled state can be gotten via choosing appropriate initial state and interaction time,and the initial entanglement information between two atoms can be completely transferred to the atom outside of the cavity and the cavity field at a particular evolution moment.
A interaction model of multi-photon process in the“multi-coupled-atom-cavity”system is constructed.In terms of the cavity quantum electrodynamics,the properties of quantum information transfer in the process of coupled atoms interacting with cavity fields are studied,and the effect of the coupling between atoms on the quantum information transfer is analyzed.It is found that quantum information can be transferred back and forth or be preserved between the cavity fields and atoms in certain time period.The dipole interaction between atoms leads to the quantum entanglement information partially transferred and partially preserved.