The effect of losses on the quantum-noise cancellation in the SU(1,1) interferometer

Xin, Jun; Wang, Hailong; Jing, Jietai

doi:10.1063/1.4960585

Cited by 40 publications

(23 citation statements)

References 36 publications

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“…The explicit form of A j and K j is summarized in table I for all cases. The internal loss in each arm of the NLI may be different and has an effect on the signal and variance [29]. Note that φ is defined slightly different from the degenerate case to account for the different phases in the two branches of the NLI.…”

Section: Comparison Of Degenerate and Nondegenerate Configurationmentioning

confidence: 99%

Phase sensitivity of gain-unbalanced nonlinear interferometers

et al. 2017

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The phase uncertainty of an unseeded nonlinear interferometer, where the output of one nonlinear crystal is transmitted to the input of a second crystal that analyzes it, is commonly said to be below the shot-noise level but highly dependent on detection and internal loss. Unbalancing the gains of the first (source) and second (analyzer) crystals leads to a configuration that is tolerant against detection loss. However, in terms of sensitivity, there is no advantage in choosing a stronger analyzer over a stronger source, and hence the comparison to a shot-noise level is not straightforward. Internal loss breaks this symmetry and shows that it is crucial whether the source or analyzer is dominating. Based on these results, claiming a Heisenberg scaling of the sensitivity is more subtle than in a balanced setup.Comment: 11 pages, 4 figures, 1 tabl

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Section: Comparison Of Degenerate and Nondegenerate Configurationmentioning

confidence: 99%

Phase sensitivity of gain-unbalanced nonlinear interferometers

et al. 2017

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“…This generates a high degree of particle entanglement within the interferometer, allowing phase measurements at the ultimate Heisenberg limit while additionally providing a robustness to inefficient particle detection [8,9]. This excellent "per particle" sensitivity and robustness has resulted in a strong theoretical interest in SU (1,1) interferometry [10][11][12][13], and its experimental realization in optical systems [14,15], hybrid atom-light interferometers [16], and spinor Bose-Einstein condensates (BECs) [17][18][19].…”

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confidence: 99%

Pumped-Up SU(1,1) Interferometry

2017

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Although SU(1,1) interferometry achieves Heisenberg-limited sensitivities, it suffers from one major drawback: Only those particles outcoupled from the pump mode contribute to the phase measurement. Since the number of particles outcoupled to these "side modes" is typically small, this limits the interferometer's absolute sensitivity. We propose an alternative "pumped-up" approach where all the input particles participate in the phase measurement and show how this can be implemented in spinor BoseEinstein condensates and hybrid atom-light systems-both of which have experimentally realized SU(1,1) interferometry. We demonstrate that pumped-up schemes are capable of surpassing the shot-noise limit with respect to the total number of input particles and are never worse than conventional SU (1,1) interferometry. Finally, we show that pumped-up schemes continue to excel-both absolutely and in comparison to conventional SU(1,1) interferometry-in the presence of particle losses, poor particleresolution detection, and noise on the relative phase difference between the two side modes. Pumped-up SU(1,1) interferometry therefore pushes the advantages of conventional SU(1,1) interferometry into the regime of high absolute sensitivity, which is a necessary condition for useful quantum-enhanced devices.

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“…These studies have shown that it is generally possible to overcome the shot noise limit and even reach the Heisenberg limit. Moreover, SU(1,1) interferometers can provide different benefits with respect to other interferometers, not only in terms of high-precision measurements, but also because of the possibility to perform a joint measurement of multiple observables [24] and due to the advantages of robustness against external losses, namely losses due to an inefficient detection system [25,26,27,28].…”

Section: Introductionmentioning

confidence: 99%

Spectrally multimode integrated SU(1,1) interferometer

Ferreri

Santandrea

Stefszky

et al. 2021

Quantum

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Nonlinear SU(1,1) interferometers are fruitful and promising tools for spectral engineering and precise measurements with phase sensitivity below the classical bound. Such interferometers have been successfully realized in bulk and fiber-based configurations. However, rapidly developing integrated technologies provide higher efficiencies, smaller footprints, and pave the way to quantum-enhanced on-chip interferometry. In this work, we theoretically realised an integrated architecture of the multimode SU(1,1) interferometer which can be applied to various integrated platforms. The presented interferometer includes a polarization converter between two photon sources and utilizes a continuous-wave (CW) pump. Based on the potassium titanyl phosphate (KTP) platform, we show that this configuration results in almost perfect destructive interference at the output and supersensitivity regions below the classical limit. In addition, we discuss the fundamental difference between single-mode and highly multimode SU(1,1) interferometers in the properties of phase sensitivity and its limits. Finally, we explore how to improve the phase sensitivity by filtering the output radiation and using different seeding states in different modes with various detection strategies.

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The effect of losses on the quantum-noise cancellation in the SU(1,1) interferometer

Cited by 40 publications

References 36 publications

Phase sensitivity of gain-unbalanced nonlinear interferometers

Phase sensitivity of gain-unbalanced nonlinear interferometers

Pumped-Up SU(1,1) Interferometry

Spectrally multimode integrated SU(1,1) interferometer

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