SU(2) and SU(1,1) interferometers

Yurke, Bernard; McCall, S. L.; Klauder, John R.

doi:10.1103/physreva.33.4033

Cited by 1,302 publications

(1,271 citation statements)

References 15 publications

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“…Such unitary process of equation (5) may be used to model the two-mode optical interferometry and the general Ramsey interferometry [8,36]. With equation (5), the QFI with respect of ϕ can be expressed in the following form [19,37,38,39,40]…”

Section: Quantum Fisher Informationmentioning

confidence: 99%

Quantum Fisher information and spin squeezing in one-axis twisting model

Zhong¹,

Liu²,

Ma³

et al. 2014

Chinese Phys. B

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Abstract. We consider the quantum Fisher information and spin squeezing in oneaxis twisting model with a coherent spin state |θ 0 , φ 0 . We analytically discuss the dependence of the two parameters: spin squeezing parameter ξ 2 K and the average parameter estimation precision χ 2 on the polar angle θ 0 and the azimuth angle φ 0 . Moreover, we discuss the effects of the collisional dephasing on the dynamics of the two parameters. In this case, the analytical solution of ξ 2 K is also obtained.

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Section: Quantum Fisher Informationmentioning

confidence: 99%

Quantum Fisher information and spin squeezing in one-axis twisting model

Zhong¹,

Liu²,

Ma³

et al. 2014

Chinese Phys. B

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“…It is well known that the input-output relations at a lossless beam splitter can be characterized by the SU(2) Lie algebra [17,18]. In the Heisenberg picture, the photon destruction operators of the outgoing modes,b k (k = 1, 2), can be obtained from those of the incoming modes,â k , aŝ…”

Section: Basis Equationsmentioning

confidence: 99%

Photon-added state preparation via conditional measurement on a beam splitter

Dakna

Knöll

Welsch

1998

Optics Communications

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We show that conditional output measurement on a beam splitter may be used to produce photon-added states for a large class of signal-mode quantum states, such as thermal states, coherent states, squeezed states, displaced photon-number states, and coherent phase states. Combining a mode prepared in such a state and a mode prepared in a photon-number state, the state of the mode in one of the output channels of the beam splitter "collapses" to a photon-added state, provided that no photons are detected in the other output channel. We present analytical and numerical results, with special emphasis on photon-added coherent and squeezed vacuum states. In particular, we show that adding photons to a squeezed vacuum yields superpositions of quantum states which show all the typical features of Schrödinger-cat-like states.

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“…in terms of the operators J and J, and so the action of the beam splitter can be visualized as the process of measuring the rotations of J [29]. The parameters of such an action depends on the particular choice for the transmission and reflection coefI»cients of the beam splitter.…”

Section: Limit Of Weakly Excited Statesmentioning

confidence: 99%

Phase-difference operator

1993

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We introduce a unitary operator representing the exponential of the phase difference between two modes of the electromagnetic field. The eigenvalue spectrum has a discrete character that is fully analyzed. We relate this operator with a suitable polar decomposition of the Stokes parameters of the field, obtaining a natural classical limit. The cases of weakly and highly excited states are considered, discussing to what extent it is possible to talk about the phase for a single-mode field. This operator is applied to some interesting two-mode fields.

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SU(2) and SU(1,1) interferometers

Cited by 1,302 publications

References 15 publications

Quantum Fisher information and spin squeezing in one-axis twisting model

Quantum Fisher information and spin squeezing in one-axis twisting model

Photon-added state preparation via conditional measurement on a beam splitter

Phase-difference operator

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