Quantum interference between an arbitrary-photon Fock state and a coherent state

Xu, Xue-Xiang; Jia, Fang; Hu, Li-Yun; Duan, Zhenglu; Guo, Qin; Ma, Shengli

doi:10.1080/09500340.2012.733435

Cited by 18 publications

(6 citation statements)

References 30 publications

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“…From Eqs. (21), g (2) s < 1 only if I 2 is negative, so this is related to squeezing, which can also be small as long as it is nonzero. Note that while this is a necessary condition, it is not a sufficient one, i.e., I 2 can be negative without g (2) s being less than one.…”

Section: Interfering a Squeezed And A Coherent Statementioning

confidence: 99%

“…The problem is so widespread, often in disguise, that even a brief overview of its occurrences and its identification throughout platforms and realizations, takes the character of a self-contained review [18], to which we refer for further discussion of the literature. Here, we consider mainly the case of mixing a squeezed state with a coherent field, as this is the most common configuration, although the general case is clearly also of fundamental interest [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Tuning photon statistics with coherent fields

et al. 2020

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Photon correlations, as measured by Glauber's nth-order coherence functions g (n) , are highly sought to be minimized and/or maximized. In systems that are coherently driven, so-called blockades can give rise to strong correlations according to two scenarios based on level repulsion (conventional blockade) or interferences (unconventional blockade). Here, we show how these two approaches relate to the admixing of a coherent state with a quantum state such as a squeezed state for the simplest and most recurrent case. The emission from a variety of systems, such as resonance fluorescence, the Jaynes-Cummings model, or microcavity polaritons, as a few examples of a large family of quantum optical sources, are shown to be particular cases of such admixtures, that can further be doctored up externally by adding an amplitude-and phase-controlled coherent field with the effect of tuning the photon statistics from exactly zero to infinity. We show how such an understanding also allows to classify photon statistics throughout platforms according to conventional and unconventional features, with the effect of optimizing the correlations and with possible spectroscopic applications. In particular, we show how configurations that can realize simultaneously conventional and unconventional antibunching bring the best of both worlds: huge antibunching (unconventional) with large populations and being robust to dephasing (conventional).

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Section: Interfering a Squeezed And A Coherent Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tuning photon statistics with coherent fields

et al. 2020

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“…( 3). They are an important class of nonclassical states which are also non-Gaussian [51] and they can allow Heisenberg-limited phase sensing in a interferometer together with another input state, classical [17,18] or nonclassical [14,25]. A superposition of two Fock states [52]…”

Section: Classmentioning

confidence: 99%

“…Nonclassical states of bosonic modes, such as optical fields [1], motional states of trapped ions [2] or mechanical oscillators in optomechanical systems [3], are important resources for quantum-enhanced technologies [4], including quantum communication [5][6][7], quantum computation [8][9][10][11][12], and quantum metrology [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. This is enabled by the superposition of coherent states, the most intriguing feature of nonclassical states.…”

Section: Introductionmentioning

confidence: 99%

Evaluating Single-mode Nonclassicality

Ge,

Zubairy

2020

Preprint

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Quantifying nonclassicality of a bosonic mode is an important but challenge task in quantum optics. Recently, the first nonclassicality measure based on the concept of operational resource theory has been proposed [Phys. Rev. Research 2, 023400 (2020)], which shows several crucial properties as a resource for quantum metrology.Here we apply the measure to evaluate and categorize different classes of nonclassical states. We discover a class of states that can achieve the maximum nonclassicality in the asymptotic limit of large mean number of excitations. These states can provide the same sensitivity in place of a squeezed vacuum in a sensing scheme, e.g., the LIGO experiments. We also discover that the nonclassicality of certain states can be greatly improved with a single-photon addition. Besides, we explore some examples on how to evaluate analytically the nonclassicality of mixed states, which are in general difficult to calculate due to the convex roof nature of the measure. Our results will be useful for preparing and utilizing nonclassical states for applications in precision sensing tasks, such as quadrature sensing and phase sensing in a Mach-Zehnder interferometer.

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“…In recent years, with the help of the transformation of phase space W out (α, β) = W in α, β , many studies have been done to investigate the phase sensitivity with Gaussian or non-Gaussian states considered as the input states of an MZI interferometer [21,22,23,24,25,26]. On the other hand, the phase sensitivity for an SU(1,1) interferometer with some Gaussian input states has also been investigated by the same method [27,28,29].…”

Section: Introductionmentioning

confidence: 99%

SU(1,1) interferometry with parity measurement

Wang,

Zhang

2021

Preprint

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We present a new operator method in the Heisenberg representation to obtain the signal of parity measurement within a lossless SU(1,1) interferometer. Based on this method, it is convenient to derive the parity signal directly in terms of input states, including general Gaussian or non-Gaussian state. As applications, we revisit the signal of parity measurement within an SU(1,1) interferometer when a coherent or thermal state and a squeezed vacuum state are considered as input states. In addition, we also obtain the parity signal of a Fock state when it passes through an SU(1,1) interferometer, which is also a new result. Therefore, the operator method proposed in this work may bring convenience to the study of quantum metrology, particularly the phase estimation based on an SU(1,1) interferometer.

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Quantum interference between an arbitrary-photon Fock state and a coherent state

Cited by 18 publications

References 30 publications

Tuning photon statistics with coherent fields

Tuning photon statistics with coherent fields

Evaluating Single-mode Nonclassicality

SU(1,1) interferometry with parity measurement

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