Multimode entanglement of light and atomic ensembles via off-resonant coherent forward scattering

Kupriyanov, D. V.; Mishina, O. S.; Sokolov, I. M.; Julsgaard, Brian; Polzik, E. S.

doi:10.1103/physreva.71.032348

Cited by 59 publications

(84 citation statements)

References 23 publications

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“…The collective spin of the ensemble is then probed by an off resonant pulse which propagates along z and is linearly polarized along x. Thorough descriptions of this interaction and the final state of light and atoms after the scattering can be found in [14,15,16,17,18] and especially in [19,20,21,22] for the specific system we have in mind. We derive the final state here with a special focus on the effects of Larmor precession and light propagation in order to identify the light modes which are actually populated in the scattering process.…”

Section: Interactionmentioning

confidence: 99%

“…The effects of light absorption and atomic depumping are treated below. Coherent interaction Since scattering of light occurs predominantly in the forward direction [22] it is legitimate to adopt a one dimensional model such that the (negative frequency component of the) electric field propagating along z is given by…”

Section: Appendix A: Hamiltonianmentioning

confidence: 99%

“…x accounts for the external magnetic field along x causing a ground state Zeemann splitting of Ω, H li is the free space Hamiltonian for light and the interaction term V is the level shift operator [22,33] …”

Section: Appendix A: Hamiltonianmentioning

confidence: 99%

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Teleportation and spin squeezing utilizing multimode entanglement of light with atoms

2005

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We present a protocol for the teleportation of the quantum state of a pulse of light onto the collective spin state of an atomic ensemble. The entangled state of light and atoms employed as a resource in this protocol is created by probing the collective atomic spin, Larmor precessing in an external magnetic field, off resonantly with a coherent pulse of light. We take here for the first time full account of the effects of Larmor precession and show that it gives rise to a qualitatively new type of multimode entangled state of light and atoms. The protocol is shown to be robust against the dominating sources of noise and can be implemented with an atomic ensemble at room temperature interacting with free space light. We also provide a scheme to perform the readout of the Larmor precessing spin state enabling the verification of successful teleportation as well as the creation of spin squeezing.

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Section: Interactionmentioning

confidence: 99%

Section: Appendix A: Hamiltonianmentioning

confidence: 99%

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Teleportation and spin squeezing utilizing multimode entanglement of light with atoms

2005

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“…Detection scheme The detection mechanism proposed here uses the off-resonant interaction of spin-F atoms (i.e., atoms having a 2F + 1 dimensional ground state manifold) with a polarized light beam propagating in zdirection (for a theoretical description of light-atom coupling cf. [16,18]). The light pulse is characterized by the Stokes operatorsŝ 1 ,ŝ 2 ,ŝ 3 corresponding to the difference of the number of photons in the x and y linear polarizations, in the ±45 • linear polarizations, and in the two circular polarizations, respectively.…”

mentioning

confidence: 99%

“…Let us first consider a one-dimensional (1D) sample of N at atoms trapped in a 1D optical lattice of period π/k, oriented in z direction, with the n-th atom located at position z n = (n − 1)π/k, having the spin operatorĵ(z n ). The relevant dispersive part of the interaction Hamiltonian between light and atoms reads [16,18] (see methods)…”

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confidence: 99%

Quantum non-demolition detection of strongly correlated systems

et al. 2007

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Preparation, manipulation, and detection of strongly correlated states of quantum many body systems are among the most important goals and challenges of modern physics. Ultracold atoms offer an unprecedented playground for realization of these goals. Here we show how strongly correlated states of ultracold atoms can be detected in a quantum non-demolition scheme, that is, in the fundamentally least destructive way permitted by quantum mechanics. In our method, spatially resolved components of atomic spins couple to quantum polarization degrees of freedom of light. In this way quantum correlations of matter are faithfully mapped on those of light; the latter can then be efficiently measured using homodyne detection. We illustrate the power of such spatially resolved quantum noise limited polarization measurement by applying it to detect various standard and "exotic" types of antiferromagnetic order in lattice systems and by indicating the feasibility of detection of superfluid order in Fermi liquids.Introduction Future applications of quantum physics for quantum simulations, computation, communication, and metrology will require an extremely high degree of control of preparation, manipulation, and, last but not least, detection of strongly correlated states of quantum many body systems. Ultracold atoms offer an unprecedented playground for realization of these goals. Several paradigm examples of strongly correlated states have been successfully realized, such as the Mott insulator, the Tonks gas, and the Bose glass (for a review cf. [1]). A standard way of analyzing such systems is by releasing the atoms from the trap and performing destructive absorption spectroscopy, which only allows to measure the column density of the expanded cloud. Considerable attention has been thus devoted recently to novel methods of detection, that allow for measuring (spin) densitydensity and other higher order correlation functions. One of those methods is atomic noise interferometry [2], whose power is well illustrated in the recent observation of the bosonic and the fermionic Hanbury Brown-Twiss effect [3,4]. Direct atom counting is another way to measure this effect, and to even go beyond it [5]; it can be realized directly with metastable Helium atoms [6,7], or by using methods of cavity quantum electrodynamics (QED) [8]. Cavity QED is also essential in the recent proposals of Ref. [9,10], while Ref. [11] proposes how to prepare and detect magnetic quantum phases using superlattices. All of the above approaches are, at least in some respects, destructive and frequently suffer from undesired atom number fluctuations inevitable in the preparation of the quantum states.

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Coherent backscattering of light from ultracold and optically dense atomic ensembles

et al. 2005

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We review experimental and theoretical studies of coherent backscattering of near resonant radiation from an ultracold atomic gas in the weak localization regime. Recent accomplishments in high resolution spectroscopy of atomic ensembles based on the coherent backscattering process are discussed. We also propose several new experimental schemes for time-dependent spectroscopy as applied to multiple scattering in the regime of weak localization.A coherent backscattering image of light scattered from an atomic cloud of 85 Rb atoms in the lin ⊥ lin polarization channel

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Multimode entanglement of light and atomic ensembles via off-resonant coherent forward scattering

Cited by 59 publications

References 23 publications

Teleportation and spin squeezing utilizing multimode entanglement of light with atoms

Teleportation and spin squeezing utilizing multimode entanglement of light with atoms

Quantum non-demolition detection of strongly correlated systems

Coherent backscattering of light from ultracold and optically dense atomic ensembles

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