Relations between bosonic quadrature squeezing and atomic spin squeezing

This paper reviews quantum spin squeezing, which characterizes the sensitivity of a state with respect to an SU(2) rotation, 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 the Ising and the nonlinear twisting Hamiltonians. Afterwards, we explain 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-squeezed states. Finally, several experiments are discussed including: producing spin squeezed states via particle collisions in Bose-Einstein condensates, mapping photon squeezing onto atomic ensembles, and quantum non-demolition measurements.Comment: 99 pages, 25 figure

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“…(126) and (127) obtained for even and odd states are also applicable to arbitrary states, which is discussed in Ref. [201].…”

Section: Relations Between Spin Squeezing and Bosonic Squeezingmentioning

confidence: 98%

“…It has been shown in Ref. [201] that the spin-squeezing parameter ξ 2 S reduces to the bosonic squeezing in the limit of large number of atoms and small excitations. For this purpose, we consider the principal quadrature squeezing defined as (8).…”

Section: Relations Between Spin Squeezing and Bosonic Squeezingmentioning

confidence: 99%

Quantum spin squeezing

et al. 2011

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“…There are many different types of multiparticle states that have been used to implement quantum interferometry. [91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106] Here, we concentrate our discussions on coherent spin states, spin squeezed states, NOON states, entangled coherent states and twin Fock states.…”

Section: Quantum Interferometry With Multiparticle Statesmentioning

confidence: 99%

Quantum Metrology With Cold Atoms

Huang

Zhong

et al. 2014

Annual Review of Cold Atoms and Molecules

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Quantum metrology is the science that aims to achieve precision measurements by making use of quantum principles. Attribute to the well-developed techniques of manipulating and detecting cold atoms, cold atomic systems provide an excellent platform for implementing precision quantum metrology. In this chapter, we review the general procedures of quantum metrology and some experimental progresses in quantum metrology with cold atoms. Firstly, we give the general framework of quantum metrology and the calculation of quantum Fisher information, which is the core of quantum parameter estimation. Then, we introduce the quantum interferometry with single and multiparticle states. In particular, for some typical multiparticle states, we analyze their ultimate precision limits and show how quantum entanglement could enhance the measurement precision beyond the standard quantum limit. Further, we review some experimental progresses in quantum metrology with cold atomic systems.

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“…The coherent amplitude acts much the same as a local oscillator, in such a way that the spin squeezing is continuously transferred into a quadrature measurement [26].…”

Section: Methodsmentioning

confidence: 99%

Parsing polarization squeezing into Fock layers

et al. 2016

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We investigate polarization squeezing in squeezed coherent states with varying coherent amplitudes. In contrast to the traditional characterization based on the full Stokes parameters, we experimentally determine the Stokes vector of each excitation subspace separately. Only for states with a fixed photon number do the methods coincide; when the photon number is indefinite, we parse the state in Fock layers, finding that substantially higher squeezing can be observed in some of the single layers. By capitalizing on the properties of the Husimi Q function, we map this notion onto the Poincaré space, providing a full account of the measured squeezing.

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Relations between bosonic quadrature squeezing and atomic spin squeezing

Cited by 46 publications

References 66 publications

Quantum spin squeezing

Quantum spin squeezing

Quantum Metrology With Cold Atoms

Parsing polarization squeezing into Fock layers

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