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Spin squeezing, as a crucial quantum resource, plays a pivotal role in quantum metrology, enabling us to achieve high-precision parameter estimation schemes. Here we investigate the spin squeezing and the quantum phase transition in an…

Quantum Physics · Physics 2023-11-29 Lei Shao , Libin Fu

We study the dynamical generation and storage of spin squeezed states, as well as more entangled states up to macroscopic superpositions, in a system composed of a few ultra-cold atoms trapped in a one-dimensional optical lattice. The…

Quantum Gases · Physics 2020-08-05 M. Płodzień , M. Kościelski , E. Witkowska , A. Sinatra

How can we analyze quantum correlations in large and noisy systems without quantum state tomography? An established method is to measure total angular momenta and employ the so-called spin-squeezing inequalities based on their expectations…

Quantum Physics · Physics 2024-08-23 Jan Lennart Bönsel , Satoya Imai , Ye-Chao Liu , Otfried Gühne

We obtain a lower bound on the sum of two orthogonal spin component variances in a plane. This gives a novel planar uncertainty relation which holds even when the Heisenberg relation is not useful. We investigate the asymptotic, large $J$…

Quantum Physics · Physics 2014-05-09 Q. Y. He , Shi-Guo Peng , P. D. Drummond , M. D. Reid

We present a model of a spin-squeezed rotation sensor utilising the Sagnac effect in a spin-1 Bose-Einstein condensate in a ring trap. The two input states for the interferometer are seeded using Raman pulses with Laguerre-Gauss beams and…

The squeezed state of the electromagnetic field can be generated in many nonlinear optical processes and finds a wide range of applications in quantum information processing and quantum metrology. This article reviews the basic properties…

Quantum Physics · Physics 2016-07-29 A. I. Lvovsky

We study the spin squeezing in a spin-1/2 Bose-Einstein condensates (BEC) with Raman induced spin-orbit coupling (SOC). Under the condition of two-photon resonance and weak Raman coupling strength, the system possesses two degenerate ground…

Quantum Gases · Physics 2020-08-26 Li Chen , Yunbo Zhang , Han Pu

A weak measurement approach is proposed to entangle and squeeze atoms. We show that even for very small coupling strength between light and atoms, one can achieve large squeezing unattainable with normal measurement-based squeezing.…

Quantum Physics · Physics 2019-01-01 Mingfeng Wang , Weizhi Qu , Han Bao , Pengxiong Li , Yanhong Xiao

We demonstrate the creation of entangled, spin-squeezed states using a collective, or joint, measurement and real-time feedback. The pseudospin state of an ensemble of $N= 5\times 10^4$ laser-cooled $^{87}$Rb atoms is deterministically…

Atomic Physics · Physics 2016-03-09 Kevin C. Cox , Graham P. Greve , Joshua M. Weiner , James K. Thompson

We derive spin squeezing inequalities that generalize the concept of the spin squeezing parameter and provide necessary and sufficient conditions for genuine 2-, or 3- qubit entanglement for symmetric states, and sufficient condition for…

Quantum Physics · Physics 2009-11-11 J. Korbicz , J. I. Cirac , M. Lewenstein

Spin-squeezed states are metrologically useful quantum states where entanglement allows for enhanced sensing with respect to the standard quantum limit. Key challenges include the efficient preparation of spin-squeezed states and the…

Quantum Physics · Physics 2025-12-11 Stefano Giaccari , Giulia Dellea , Marco G. Genoni , Gianluca Bertaina

Quantum metrology exploits quantum correlations to make precise measurements with limited particle numbers. By utilizing inter- and intra- mode correlations in an optical interferometer, we find a state that combines entanglement and…

Quantum Physics · Physics 2016-04-21 P. A. Knott , T. J. Proctor , A. J. Hayes , J. P. Cooling , J. A. Dunningham

Achieving full control of a Bose-Einstein condensate can have valuable applications in metrology, quantum information processing, and quantum condensed matter physics. We propose protocols to simultaneously control the internal (related to…

Quantum Physics · Physics 2026-01-13 Yue Ban , Xi Chen , J. G. Muga , E. Ya Sherman

We propose a method to obtain a regular arrangement of two-level atoms in a three-dimensional optical lattice with unit filling, where all the atoms share internal state coherence and metrologically useful quantum correlations. Such a…

Quantum Physics · Physics 2019-04-25 Dariusz Kajtoch , Emilia Witkowska , Alice Sinatra

Spin squeezing inequalities (SSI) represent a major tool to probe quantum entanglement among a collection of few-level atoms, and are based on collective spin measurements and their fluctuations. Yet, for atomic ensembles of spin-$j$ atoms…

Quantum Gases · Physics 2023-01-03 Guillem Müller-Rigat , Maciej Lewenstein , Irénée Frérot

Dynamical evolution of quantum mechanical squeezing and entanglement in a two-mode Bose-Einstein condensate (TBEC) with an adiabatic, time-varying Raman coupling is studied by finding analytical expressions for these quantities. In…

Other Condensed Matter · Physics 2009-11-11 S. Choi , N. P. Bigelow

Spin squeezing, a form of many-body entanglement, is a crucial resource in quantum metrology and information processing. While experimentally viable protocols for generating stable spin squeezing have been proposed in quantum optics setups,…

Quantum Physics · Physics 2025-09-16 Jayakrishnan M. P. Nair , Benedetta Flebus

Recent experiments demonstrate the production of many thousands of neutral atoms entangled in their spin degrees of freedom. We present a criterion for estimating the amount of entanglement based on a measurement of the global spin. It…

Quantum Physics · Physics 2014-09-10 Bernd Lücke , Jan Peise , Giuseppe Vitagliano , Jan Arlt , Luis Santos , Geza Toth , Carsten Klempt

We use a small atomic Bose-Einstein condensate as an interferometric scanning probe to map out a microwave field near a chip surface with a few micrometers resolution. Using entanglement between the atoms we overcome the standard quantum…

Quantum Physics · Physics 2013-10-30 Caspar F. Ockeloen , Roman Schmied , Max F. Riedel , Philipp Treutlein

Quantum states featuring extensive multipartite entanglement are a resource for quantum-enhanced metrology, with sensitivity up to the Heisenberg limit. However, robust generation of these states using unitary dynamics typically requires…

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