Abstract
Examination of the ground-state correlation properties of two Coulombically interacting bosons confined in strongly anisotropic harmonic potentials is carried out within the framework of the single-mode approximation of the transverse components. The linear entropy of the quasi-one dimensional systems is discussed in dependence on the confinement anisotropy and the interaction strength. A comparison with a strictly one-dimensional limit is performed.
Highlights
Created effective many-body systems such as quantum dots and trapped atoms or ions, which can be investigated under controllable and tunable experimental conditions, are promising candidates for quantum computing devices
We consider a system of two bosons confined in an axially symmetric 3D harmonic potential with trapping frequencies ωx and ω⊥ = ωx
In order to reduce the number of parameters the coordinates are measured in terms x of the longitudinal oscillator length mω h, the energies in terms of hωx, and the dimensionless coupling g = 4πe 0 h 3mω represents the ratio of the Coulomb interaction to the longitudinal trapping energy scale
Summary
Created effective many-body systems such as quantum dots and trapped atoms or ions, which can be investigated under controllable and tunable experimental conditions, are promising candidates for quantum computing devices. The Coulombically interacting particles in a harmonic trap can be used to model a system of ions in an electromagnetic trap. In order to reduce the number of parameters the coordinates are measured in terms x of the longitudinal oscillator length mω h , the energies in terms of hωx , and the dimensionless coupling g = 4πe 0 h 3mω represents the ratio of the Coulomb interaction to the longitudinal trapping energy scale. We x focus our attention on experimentally accessible quasi-1D case when the anisotropy parameter 1 and the particles may be assumed to stay in the lowest energy state of the transverse Hamiltonian H⊥ = −.
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