Entangling operations in nonlinear two-atom Tavis-Cummings models
- URL: http://arxiv.org/abs/2108.02813v2
- Date: Wed, 1 Dec 2021 17:31:36 GMT
- Title: Entangling operations in nonlinear two-atom Tavis-Cummings models
- Authors: Roc\'io G\'omez-Rosas, Carlos A. Gonz\'alez-Guti\'errez, Juan Mauricio
Torres
- Abstract summary: We show how to implement entangling atomic operations through measurement of the field.
We present an ion-trap setting employing the quantized mode of the center of mass motion instead of the photonic field.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We derive an analytical approximate solution of the time-dependent state
vector in terms of material Bell states and coherent states of the field for a
generalized two-atom Tavis-Cummings model with nonlinear intensity dependent
matter-field interaction. Using this solution, we obtain simple expressions for
the atomic concurrence and purity in order to study the entanglement in the
system at specific interaction times. We show how to implement entangling
atomic operations through measurement of the field. We illustrate how these
operations can lead to a complete Bell measurement. Furthermore, when
considering two orthogonal states of the field as levels of a third qubit, it
is possible to implement a unitary three-qubit gate capable of generating
authentic tripartite entangled states such as the Greenberger-Horne-Zeilinger
(GHZ) state and the W-state. As an example of the generic model, we present an
ion-trap setting employing the quantized mode of the center of mass motion
instead of the photonic field, showing that the implementation of realistic
entangling operations from intrinsic nonlinear matter-field interactions is
indeed possible.
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