We present analysis of a system of three two-level atoms interacting with each other through the dipole-dipole interaction. The interaction manifests between excited state of one of the atoms and the ground state of its nearest neighbour. Steady state populations of the density matrix elements are presented and are compared with a situation when only two atoms are present. It can be noticed that the third atom modifies the behaviour of the three atoms. Two configurations are analysed, one in which the three atoms are in a line, with no interaction between atoms at the end points and the other in which the atoms form a closed loop with each atom interacting with both its neighbours.We present analysis of a system of three two-level atoms interacting with each other through the dipole-dipole interaction. The interaction manifests between excited state of one of the atoms and the ground state of its nearest neighbour. Steady state populations of the density matrix elements are presented and are compared with a situation when only two atoms are present. It can be noticed that the third atom modifies the behaviour of the three atoms. Two configurations are analysed, one in which the three atoms are in a line, with no interaction between atoms at the end points and the other in which the atoms form a closed loop with each atom interacting with both its neighbours.

arXiv:1402.3777Feb 16, 20140 citations

Coherent and incoherent dipole-dipole interactions between atoms

F. Robicheaux

Bulletin of the American Physical SocietyMay 27, 20160 citations

Pairwise atomic states: Two-atom system in a three-dimensional squeezed vacuum field

Z. Ficek

We analyze the pairwise atomic states that are produced when a system of two atoms is irradiated by a squeezed vacuum field. Included in the analysis is the three-dimensional squeezed vacuum field propagated over a solid angle \ensuremath{\Omega}, the interatomic separation ${\mathit{r}}_{12}$ , the microscopic Fabry-P\'erot cavity, and the role played by an imperfect coupling between the cavity modes and squeezed input modes. It is shown that the steady state of the system in free space is the pairwise atomic state when the atoms interact with a perfect squeezed dipole wave and the interatomic separations are much smaller than the resonant wavelength (Dicke model). With the interatomic separations comparable to the resonant wavelength or with an imperfect squeezed dipole wave, the system decays to a state that is not the pairwise atomic state. The effect of squeezed vacuum field on the system is now manifested by the selective population of the collective atomic states. For atoms inside a microscopic Fabry-P\'erot cavity the pairwise atomic states are produced with an imperfect squeezed dipole wave. This can occur even for small solid angles \ensuremath{\Omega}. However, this effect is sensitive to mode matching between internal and external fields. It is shown that with a Gaussian profile for the input squeezed modes the steady state is not the pairwise atomic states, but a significant reduction of the population in the symmetric state still can be observed.We analyze the pairwise atomic states that are produced when a system of two atoms is irradiated by a squeezed vacuum field. Included in the analysis is the three-dimensional squeezed vacuum field propagated over a solid angle \ensuremath{\Omega}, the interatomic separation ${\mathit{r}}_{12}$, the microscopic Fabry-P\'erot cavity, and the role played by an imperfect coupling between the cavity modes and squeezed input modes. It is shown that the steady state of the system in free space is the pairwise atomic state when the atoms interact with a perfect squeezed dipole wave and the interatomic separations are much smaller than the resonant wavelength (Dicke model). With the interatomic separations comparable to the resonant wavelength or with an imperfect squeezed dipole wave, the system decays to a state that is not the pairwise atomic state. The effect of squeezed vacuum field on the system is now manifested by the selective population of the collective atomic states. For atoms inside a microscopic Fabry-P\'erot cavity the pairwise atomic states are produced with an imperfect squeezed dipole wave. This can occur even for small solid angles \ensuremath{\Omega}. However, this effect is sensitive to mode matching between internal and external fields. It is shown that with a Gaussian profile for the input squeezed modes the steady state is not the pairwise atomic states, but a significant reduction of the population in the symmetric state still can be observed.

Physical Review ADec 1, 199133 citations

Study of atomic dipole-dipole interactions via measurement of atom-pair kinetics

Nithiwadee Thaicharoen, Luis Gon ccalves, Georg A. Raithel

Bulletin of the American Physical SocietyMay 25, 20160 citations

Entanglement evolution of three interacting twolevel atoms within a common environment

封玲娟 FENG Ling-juan, Yun‐Jie Xia

Entanglement dynamical evolution of three two-level atoms coupled to a common environment is investigated. We utilize the tripartite negativity to quantify entanglement and analyze the effect of the initial state, pairwise dipole-dipole interactions on the entanglement dynamical properties of the system by means of numerical calculations. Results show that a novel quantum interference can be controlled by the relative phase of initially entangled states of the atoms. And the excited-state population can be trapped in the long time limit. Besides, the tripartite entanglement can be enhanced by choosing the appropriate conditions.Entanglement dynamical evolution of three two-level atoms coupled to a common environment is investigated. We utilize the tripartite negativity to quantify entanglement and analyze the effect of the initial state, pairwise dipole-dipole interactions on the entanglement dynamical properties of the system by means of numerical calculations. Results show that a novel quantum interference can be controlled by the relative phase of initially entangled states of the atoms. And the excited-state population can be trapped in the long time limit. Besides, the tripartite entanglement can be enhanced by choosing the appropriate conditions.

Acta Physica SinicaJan 1, 20152 citations

{\mathit{r}}_{12}

, the microscopic Fabry-P\'erot cavity, and the role played by an imperfect coupling between the cavity modes and squeezed input modes. It is shown that the steady state of the system in free space is the pairwise atomic state when the atoms interact with a perfect squeezed dipole wave and the interatomic separations are much smaller than the resonant wavelength (Dicke model). With the interatomic separations comparable to the resonant wavelength or with an imperfect squeezed dipole wave, the system decays to a state that is not the pairwise atomic state. The effect of squeezed vacuum field on the system is now manifested by the selective population of the collective atomic states. For atoms inside a microscopic Fabry-P\'erot cavity the pairwise atomic states are produced with an imperfect squeezed dipole wave. This can occur even for small solid angles \ensuremath{\Omega}. However, this effect is sensitive to mode matching between internal and external fields. It is shown that with a Gaussian profile for the input squeezed modes the steady state is not the pairwise atomic states, but a significant reduction of the population in the symmetric state still can be observed.