Quantum theory of propagation of elliptically polarized light through a Kerr medium

Agarwal, G. S.; Rr, Puri

doi:10.1103/physreva.40.5179

Cited by 49 publications

(33 citation statements)

References 14 publications

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“…The loss came primarily from four sources: loss in escape from the OPAs ͑14%͒, detector inefficiency ͑7%͒, loss in optics ͑5%͒, and mode overlap mismatch between the beams ͑4%͒. Depolarizing effects are thought to be another significant source of loss for some polarization squeezing proposals [11]. In our scheme the nonlinear processes (OPAs) are divorced from the polarization manipulation (wave plates and polarizing beam splitters), and depolarizing effects are insignificant.…”

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confidence: 99%

Polarization Squeezing of Continuous Variable Stokes Parameters

et al. 2002

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We report the first direct experimental characterization of continuous variable quantum Stokes parameters. We generate a continuous wave light beam with more than 3 dB of simultaneous squeezing in three of the four Stokes parameters. The polarization squeezed beam is produced by mixing two quadrature squeezed beams on a polarizing beam splitter. Depending on the squeezed quadrature of these two beams the quantum uncertainty volume on the Poincaré sphere becomes a "cigarlike" or "pancakelike" ellipsoid. DOI: 10.1103/PhysRevLett.88.093601 PACS numbers: 42.50.Dv, 42.65.Tg The quantum properties of the polarization of light have received much attention in the single photon regime where fundamental problems of quantum mechanics, related to Bell's inequality and the Einstein-Podolski-Rosen (EPR) paradox, have been examined [1]. In comparison quantum polarization states in the continuous variable regime have received little attention. Grangier et al.[2] generated a polarization squeezed beam using an optical parametric process to improve the sensitivity of a polarization interferometer. Other schemes using Kerr-like media and optical solitons in fibers have also been proposed [3,4] but have not yet been produced experimentally. This paper presents the generation of a new polarization squeezed state. A stably locked beam with better than 3 dB of squeezing in three Stokes parameters simultaneously was produced utilizing two bright quadrature squeezed beams. We present the first direct characterization of the polarization quantum noise on a continuous wave light beam allowing an experimental observation of polarization commutation relations in the continuous variable regime.Both the production of new continuous variable quantum polarization states and the ability to accurately characterize them are necessary for these states to fulfill their potential in the field of quantum information. They can be carried by a bright laser beam providing high bandwidth capabilities and therefore faster signal transfer rates than single photon systems. Perhaps surprisingly they retain the single photon advantage of not requiring the universal local oscillator necessary for other proposed continuous variable quantum networks. Mapping of quantum states from photonic to atomic media is a crucial element in most proposed quantum information networks. Continuous variable polarization states are the only continuous variable state for which this mapping has been experimentally demonstrated [5].The polarization state of a light beam in classical optics can be visualized as a Stokes vector on a Poincaré sphere ( Fig. 1) and is determined by the four Stokes parameters [6]: S 0 represents the beam intensity whereas S 1 , S 2 , and S 3 characterize its polarization and form a Cartesian axes system. If the Stokes vector points in the direction of S 1 , S 2 , or S 3 the polarized part of the beam is horizontally, linearly at 45 ± , or right-circularly polarized, respectively. The quantity S ͑Sis the radius of the classical Poincaré sphere and the ...

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confidence: 99%

Polarization Squeezing of Continuous Variable Stokes Parameters

et al. 2002

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“…(25) and (30). Observe that p = 0 for z = 0 because the fractional probabilities to find each (orthogonal) subensemble is equal, which characterizes unpolarized light.…”

Section: Fig 3: (Color Online)mentioning

confidence: 99%

“…(26), with w j (z) as given in Eq. (30), as a function of the propagation direction z, for z 2 = 2z 1 . The behavior is similar to the one found by using the classical theory applied to the Gaussian Schell-model [40].…”

Section: Polarization Change On Propagation In Free Spacementioning

confidence: 99%

“…In fact, there have been some recent works extending the classical unification theory to the realm of quantum mechanics by direct quantization of the electromagnetic field [28,29]. So far, this extension did not provide a significant clarification of the problem, when compared to the classical counterpart, maybe because the state of the field is characterized in the Fock space, which sometimes makes the physical intuition less precise and, depending on the environment in which the system is inserted, it is difficult to write an appropriate Hamiltonian to account for the time evolution of the system [30].…”

Section: Introductionmentioning

confidence: 99%

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Unified quantum density matrix description of coherence and polarization

Bernardo

2017

Physics Letters A

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The properties of coherence and polarization of light has been the subject of intense investigations and form the basis of many technological applications. These concepts which historically have been treated independently can now be formulated under a single classical theory. Here, we derive a quantum counterpart for this theory, with basis on a density matrix formulation, which describes jointly the coherence and polarization properties of an ensemble of photons. The method is used to show how the degree of polarization of a specific class of mixed states changes on propagation in free space, and how an interacting environment can suppress the coherence and polarization degrees of a general state. This last application can be particularly useful in the analysis of decoherence effects in optical quantum information implementations.

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“…In this section we will look at the "H" configuration, but other setups could also be considered. We will show how it is possible to create entangled Schrödinger cat states [23,24,25] by measuring the atomic state after the interaction. We introduce the atomic states…”

Section: State Preparation Using Adiabatic Transfer and Atomic Mementioning

confidence: 99%

Cavity-state preparation using adiabatic transfer

Larson¹,

Andersson²

2005

Phys. Rev. A

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We show how to prepare a variety of cavity field states for multiple cavities. The state preparation technique used is related to the method of stimulated adiabatic Raman passage or STIRAP. The cavity modes are coupled by atoms, making it possible to transfer an arbitrary cavity field state from one cavity to another, and also to prepare non-trivial cavity field states. In particular, we show how to prepare entangled states of two or more cavities, such as an EP R state and a W state, as well as various entangled superpositions of coherent states in different cavities, including Schrödinger cat states. The theoretical considerations are supported by numerical simulations.

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Quantum theory of propagation of elliptically polarized light through a Kerr medium

Cited by 49 publications

References 14 publications

Polarization Squeezing of Continuous Variable Stokes Parameters

Polarization Squeezing of Continuous Variable Stokes Parameters

Unified quantum density matrix description of coherence and polarization

Cavity-state preparation using adiabatic transfer

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