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While displaced number states (DNSs) [20, 26, 27] can be obtained by operating only the displacement operator on the wave functions in number states, DSNSs are obtained by first operating the squeezing operator, and then the displacement operator on the same states.
These states correspond to a class of a displaced state and are obtained by displacing number states with a displacement operator.
For this value, small errors in τ would result in a large error in the displacement operator.
A displacement operator can be implemented by sending a strong coherent state and the field which we want to displace to a high-transmissivity mirror [56].
We can obtain the wave functions of DSN by first applying the squeezing operator in those of the number state and then applying the unitary displacement operator.
If we choose (tausim1) and (|alpha|gg1) such that (sqrt{1-tau} alpha=z), we obtain hat{a}_{mathrm{out}}=sqrt{tau} hat{a}_{mathrm{in}}+z simeq hat{a}_{mathrm{in}}+z, (31) which approximates a displacement operator.
Similar(48)
To formulate the kinematic model of a flexible manipulator, infinitesimal displacement operators are used.
Here, D ̂ j ( α j ) are displacement operators in the transformed system, which are given by D ̂ j ( α j ) = exp ( α j â j ‡ − α j ∗ â j ), (35).
The other operators T ̂ Bj ( q ̂ j, p ̂ j, t ) are time-displacement operators: T ̂ Bj ( q ̂ j, p ̂ j, t ) = exp − i ℏ ∫ 0 t Ĥ Bj ( q ̂ j, p ̂ j, t ′ ) d t ′. (37).
The displacement mutation (DM) operator (Larranaga et al., 1996) is used for this purpose.
The finite difference forward operator incorporates the displacement currents because they may seriously affect the electromagnetic response at frequencies above 100.
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