Sub-shot-noise quantum metrology with entangled identical particles

Benatti, Fabio; Floreanini, Roberto; Marzolino, Ugo

doi:10.1016/j.aop.2010.01.005

Cited by 81 publications

(150 citation statements)

References 57 publications

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“…The appearance of field correlation functions rather than products of amplitudes may arise from stochastic classical fields (Asaka et al, 1984;Beach and Hartmann, 1984;Morita and Yajima, 1984;Turner et al, 2013) or may reflect genuine quantum field effects. These should be sorted out Another important aspect of quantum spectroscopy, which we had only touched briefly in section IV.B, concerns the nonclassical fluctuations of quantum light and their exploitation as spectroscopic tools (Benatti et al, 2010;Giovannetto et al, 2011). These may also lead to novel features in nonlinear optical signals (López Carreño et al, 2015).…”

Section: Discussionmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

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Conventional nonlinear spectroscopy uses classical light to detect matter properties through the variation of its response with frequencies or time delays. Quantum light opens up new avenues for spectroscopy by utilizing parameters of the quantum state of light as novel control knobs and through the variation of photon statistics by coupling to matter. We present an intuitive diagrammatic approach for calculating ultrafast spectroscopy signals induced by quantum light, focusing on applications involving entangled photons with nonclassical bandwidth properties -known as "time-energy entanglement". Nonlinear optical signals induced by quantized light fields are expressed using time ordered multipoint correlation functions of superoperators in the joint field plus matter phase space. These are distinct from Glauber's photon counting formalism which use normally ordered products of ordinary operators in the field space. One notable advantage for spectroscopy applications is that entangled photon pairs are not subjected to the classical Fourier limitations on the joint temporal and spectral resolution. After a brief survey of properties of entangled photon pairs relevant to their spectroscopic applications, different optical signals, and photon counting setups are discussed and illustrated for simple multi-level model systems.

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Section: Discussionmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

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“…[14] for a detailed discussion), and based on this identification we shall set up an "activation protocol" for indistinguishable particles. The importance to study the correlations, particularly the entanglement, in terms of subalgebras of observables has been emphasized in [14,22,[34][35][36][37], proving to be a useful approach for such analysis. The algebra of single-particle observables is generated by,…”

Section: Activation Protocol For Indistinguishable Particlesmentioning

confidence: 99%

“…In fact, there are a multitude of distinct approaches and an ongoing debate around the entanglement in these systems [12][13][14][15][16][17][18][19][20][21][22]. Nev-ertheless, despite the variety, the approaches consist essentially in the analysis of correlations under two different aspects: the correlations genuinely arising from the entanglement between the particles ("entanglement of particles") [14][15][16][17][18], and the correlations arising from the entanglement between the modes of the system ("entanglement of modes") [19][20][21][22]. These two notions of entanglement are complementary, and the use of one or the other depends on the particular situation under scrutiny.…”

Section: Introductionmentioning

confidence: 99%

Quantumness of correlations in indistinguishable particles

2014

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We discuss a general notion of quantum correlations in fermionic or bosonic indistinguishable particles. Our approach is mainly based on the identification of the algebra of single-particle observables, which allows us to devise an activation protocol in which the quantumness of correlations in the system leads to a unavoidable creation of entanglement with the measurement apparatus. Using the distillable entanglement, or the relative entropy of entanglement, as entanglement measure, we show that our approach is equivalent to the notion of minimal disturbance in a single-particle von Neumann measurement, also leading to a geometrical approach for its quantification.

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“…In fact, there are a multitude of distinct approaches and an ongoing debate around the entanglement in these systems [6,[17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Nevertheless, despite the variety, the approaches consist essentially in the analysis of correlations under two different aspects: the correlations genuinely arising from the entanglement between the particles (entanglement of particles) [6,[17][18][19][20][21][22][23][24], and the correlations arising from the entanglement between the modes of the system (entanglement of modes) [25][26][27][28]. These two notions of entanglement are complementary, and the use of one or the other depends on the particular situation under scrutiny.…”

Section: Entanglement Of Indistinguishable Particlesmentioning

confidence: 99%

Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model

2015

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We investigate the quantum phase transitions of the extended Hubbard model at half-filling with periodic boundary conditions employing the entanglement of particles, as opposed to the more traditional entanglement of modes. Our results show that the entanglement has either discontinuities or local minima at the critical points. We associate the discontinuities to first order transitions, and the minima to second order ones. Thus we show that the entanglement of particles can be used to derive the phase diagram, except for the subtle transitions between the phases SDW-BOW, and the superconductor phases TS-SS.

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Sub-shot-noise quantum metrology with entangled identical particles

Cited by 81 publications

References 57 publications

Nonlinear optical signals and spectroscopy with quantum light

Nonlinear optical signals and spectroscopy with quantum light

Quantumness of correlations in indistinguishable particles

Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model

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