A kinetic equation describing collective relaxation process in the dispersion limit is derived for an ensemble of two-level atoms placed in a cavity and interacting with one cavity mode. Multiatom entangled states belonging to the set of Dicke states and insensitive to collective decay are found. A scheme for recording, storing, and reading these states with participation of spatially multimode light is reported.

Optics and SpectroscopyApr 1, 20076 citations

Complex collective states in a one-dimensional two-atom system

Gonzalo E. Ordonez, Sungyun Kim

arXiv:quant-ph/0401097Physical Review ASep 3, 200425 citations

Springer eBooks

Collective Decay Modes of Many Nonoverlapping Two-Level Atoms — An Outline

V. Ernst

Published Jan 1, 1978• 0 citations

Publisher

DOI: 10.1007/978-1-4757-0665-9_85

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We consider a pair of identical two-level atoms interacting with a scalar field in one dimension, separated by a distance ${x}_{21}$ . We obtain collective decaying states, belonging to a complex spectral representation of the Hamiltonian. The imaginary parts of the eigenvalues give the decay rates, and the real parts give the average energy of the collective states. In one dimension there is strong interference between the fields emitted by the atoms, producing cooperative effects even when the atoms are far apart. The decay rates and the energy oscillate with the distance ${x}_{21}$ . Depending on ${x}_{21}$ , the decay rates will either decrease, vanish, or increase as compared with the one-atom decay rate. We have sub- and superradiance at periodic intervals. Our model may be used to study two-cavity electron waveguides. The vanishing of the collective decay rates then suggests the possibility of obtaining stable configurations, where an electron is trapped inside the two cavities.We consider a pair of identical two-level atoms interacting with a scalar field in one dimension, separated by a distance ${x}_{21}$. We obtain collective decaying states, belonging to a complex spectral representation of the Hamiltonian. The imaginary parts of the eigenvalues give the decay rates, and the real parts give the average energy of the collective states. In one dimension there is strong interference between the fields emitted by the atoms, producing cooperative effects even when the atoms are far apart. The decay rates and the energy oscillate with the distance ${x}_{21}$. Depending on ${x}_{21}$, the decay rates will either decrease, vanish, or increase as compared with the one-atom decay rate. We have sub- and superradiance at periodic intervals. Our model may be used to study two-cavity electron waveguides. The vanishing of the collective decay rates then suggests the possibility of obtaining stable configurations, where an electron is trapped inside the two cavities.

arXiv:quant-ph/0401097Physical Review ASep 3, 200425 citations

W

-like class. We present a scheme for writing and storing these states in collective thermostat.

We consider a pair of identical two-level atoms interacting with a scalar field in one dimension, separated by a distance

{x}_{21}

. We obtain collective decaying states, belonging to a complex spectral representation of the Hamiltonian. The imaginary parts of the eigenvalues give the decay rates, and the real parts give the average energy of the collective states. In one dimension there is strong interference between the fields emitted by the atoms, producing cooperative effects even when the atoms are far apart. The decay rates and the energy oscillate with the distance

{x}_{21}

. Depending on

{x}_{21}

, the decay rates will either decrease, vanish, or increase as compared with the one-atom decay rate. We have sub- and superradiance at periodic intervals. Our model may be used to study two-cavity electron waveguides. The vanishing of the collective decay rates then suggests the possibility of obtaining stable configurations, where an electron is trapped inside the two cavities.