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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…

An ${\rm SU(1,1)}$ interferometer uses a sequence of two optical parametric amplifiers for achieving sub-shot-noise sensitivity to a phase shift introduced in between. We present the first realization of a wide-field ${\rm SU(1,1)}$…

Quantum Physics · Physics 2019-09-16 G. Frascella , E. E. Mikhailov , N. Takanashi , R. V. Zakharov , O. V. Tikhonova , M. V. Chekhova

Nonlinear interferometers are promising tools for quantum metrology, as they are characterized by an improved phase sensitivity scaling compared to linear interferometers operating with classical light. However, the multimodeness of the…

Quantum Physics · Physics 2023-11-28 D. Scharwald , T. Meier , P. R. Sharapova

We consider an SU(1,1) interferometer employing four-wave mixers that is fed with two-mode states which are both coherent and intelligent states of the SU(1,1) Lie group. It is shown that the phase sensitivity of the interferometer can be…

Quantum Physics · Physics 2009-10-30 C. Brif , Y. Ben-Aryeh

SU(1,1) interferometers, based on the usage of nonlinear elements, are superior to passive interferometers in phase sensitivity. However, the SU(1,1) interferometer cannot make full use of photons carrying phase information as the second…

Quantum Physics · Physics 2021-04-07 Jian-Dong Zhang , Chenglong You , Chuang Li , Shuai Wang

In an unseeded SU(1,1) interferometer composed of two cascaded degenerate parametric amplifiers, with direct detection at the output, we demonstrate a phase sensitivity overcoming the shot noise limit by 2.3 dB. The interferometer is…

Quantum Physics · Physics 2017-12-06 Mathieu Manceau , Gerd Leuchs , Farid Khalili , Maria Chekhova

Multimode quantum light has promising applications in many areas of physics, such as quantum communications and quantum computing. However, its multimode nature also makes it challenging to measure its properties. Recently [Optica Quantum…

Quantum Physics · Physics 2025-04-29 D. Scharwald , P. R. Sharapova

SU(1,1) interferometry, proposed in a classic 1986 paper by Yurke, McCall, and Klauder [Phys. Rev. A 33, 4033 (1986)], involves squeezing, displacing, and then unsqueezing two bosonic modes. It has, over the past decade, been implemented in…

Quantum Physics · Physics 2021-05-21 Carlton M. Caves

We analyse a nonlinear interferometer, also known as an SU(1,1) interferometer, in the presence of internal losses and inefficient detectors. To overcome these limitations, we consider the effect of seeding one of the interferometer input…

We experimentally implement circuits of one and two mode operations on two motional modes of a single trapped ion. This is achieved by implementing the required displacement, squeezing, two-mode squeezing, and beamsplitter operations using…

Quantum Physics · Physics 2024-07-04 J. Metzner , A. Quinn , S. Brudney , I. D. Moore , S. C. Burd , D. J. Wineland , D. T. C Allcock

We study the spatial mode content at the output of a wide-field SU(1,1) interferometer, i.e. a nonlinear interferometer comprising two coherently-pumped spatially-multimode optical parametric amplifiers placed in sequence with a focusing…

Quantum Physics · Physics 2020-01-08 Gaetano Frascella , Roman V. Zakharov , Olga V. Tikhonova , Maria V. Chekhova

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…

Quantum Physics · Physics 2017-04-13 Stuart S. Szigeti , Robert J. Lewis-Swan , Simon A. Haine

The quantum correlation of light and atomic collective excitation can be used to compose an SU(1,1)-type hybrid light-atom interferometer, where one arm in optical SU(1,1) interferometer is replaced by the atomic collective excitation. The…

Quantum Physics · Physics 2015-09-01 Hongmei Ma , Dong Li , Chun-Hua Yuan , L. Q. Chen , Z. Y. Ou , Weiping Zhang

We theoretically investigate an interferometer composed of four four-wave-mixers by Lie group method. Lie group SU(1,2) characterizes the mode transformations of this kind of interferometer. With vacuum state inputs, the phase sensitivity…

Quantum Physics · Physics 2015-12-15 Yadong Wu , Chun-Hua Yuan

Temporal optics has attracted much attention due to its ability for lossless stretching of ultrafast temporal pulses. At the same time, spatial SU(1,1) interferometers have been widely used because of their high sensitivity to phase…

Optics · Physics 2025-06-03 Zepeng Liu , Tianyu Liu , Hongmei Ma , Chun-Hua Yuan

The success of quantum technologies is intimately connected to the possibility of using them in real-world applications. To this aim, we study the sensing capabilities of quantum SU(1,1) interferometers in the single-photon-pair regime and…

We provide a general theoretical derivation of the phase sensitivity achieved by SU(1,1) interferometers under homodyne detection. The general expressions obtained accommodate arbitrary input states and include internal and external losses.…

Quantum Physics · Physics 2026-05-22 Sonu Jana , Dhruv Baheti , Paul Grossiord , Fabien Bretenaker , Nadia Belabas , Syamsundar De

We present experimental and theoretical results on a new interferometer topology that nests a SU(2) interferometer, e.g., a Mach-Zehnder or Michelson interferometer, inside a SU(1,1) interferometer, i.e., a Mach-Zehnder interferometer with…

Quantum Physics · Physics 2022-07-14 Wei Du , Jia Kong , Jun Jia , Sheng Ming , Chun-Hua Yuan , J. F. Chen , Z. Y. Ou , Morgan W. Mitchell , Weiping Zhang

Interferometers operating at or close to quantum limits of precision have found wide application in tabletop searches for physics beyond the standard model, the study of fundamental forces and symmetries of nature and foundational tests of…

Quantum Physics · Physics 2016-01-12 H. F. H. Cheung , Y. S. Patil , L. Chang , S. Chakram , M. Vengalattore

An SU(1,1) interferometer replaces the beamsplitters in a Mach-Zehnder interferometer with nonlinear interactions and offers the potential of achieving high phase sensitivity in applications with low optical powers. We present a novel…

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