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note
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We say these states are stationary in the sense that the evolution of the system can be factored out as an exponential of a sum of generators of the group of symmetries of the system. In the language of dynamical systems, these states are periodic solutions of the model equations.
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As proposed in Ref. [2], this can be achieved by using two standing waves propagating along the x and y axes with a phase diference, i.e., an effective electric field of the form sin(kx)+i sin(ky)≃k(x+iy) if k is sufficiently small. This last requirement can be achieved using pairs of beams forming the appropriate angle.
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