Quantum spin squeezing

By Jian Ma, Xiaoguang Wang, Chang-pu Sun, Franco Nori. 2010

783 citations recorded by the source corpus.

This paper reviews quantum spin squeezing, which characterizes the sensitivity of a state with respect to SU(2) rotations, and is significant for both entanglement detection and high-precision metrology. We first present various definitions of spin squeezing parameters, explain their origin and properties for typical states, and then discuss spin-squeezed states produced with nonlinear twisting Hamiltonians. Afterward, we explain pairwise correlations and entanglement in spin-squeezed states, as well as the relations between spin squeezing and quantum Fisher information, where the latter plays a central role in quantum metrology. We also review the applications of spin squeezing for detecting quantum chaos and quantum phase transitions, as well as the influence of decoherence on spin squeezing. Finally, we review several experimental realizations of spin squeezing, as well as their corresponding theoretical backgrounds, including: producing spin-squeezed states via particle collisions in Bose-Einstein condensates, transferring photon squeezing to atomic ensembles, and generating spin squeezing via quantum nondemolition measurements. (C) 2011 Elsevier B.V. All rights reserved.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/96ec8f8f1892651bd02de36e707ff491ef93ace2

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Citations in the corpus

Quantum metrology with nonclassical states of atomic ensembles (2016, methodology): “, 1992, 1994) and are an important class of useful states in quantum metrology (Ma et al., 2011).”
Entanglement certification from theory to experiment (2018, background): “, with criteria arising from collective quantities) [29, 193].”
Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance (2018, background): “9(a) we plot the spin-squeezing parameter ξ 2 = N〈 J 2 y 〉/(〈Jz〉(2) + 〈Jx〉(2)) [130] for N = 50.”
Nonperturbative theory of weak pre-and post-selected measurements (2011, background): “[8–17]) have made it more important to understand quantum measurement.”
Quantum limits in optical interferometry (2014, background): “For the two decoherence models, the resulting Heisenberg picture transformation of the Jz observable yields (Ma et al., 2011): 〈Ĵz〉 η = cosϕ〈Ĵz〉in − sinϕ〈Ĵx〉in, (162) ∆2Jz η2 = f(η) 〈N〉 4 + cos2 ϕ∆2Jz|in + sin2 ϕ∆2Jx|in + −2 sinϕ cosϕ cov(Jx, Jz)|in. where f(η) = (1 − η)/η for the loss model and…”