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We advocate for a simple multipole expansion of the polarization density matrix. The resulting multipoles are used to construct bona fide quasiprobability distributions that appear as a sum of successive moments of the Stokes variables; the…

Quantum Physics · Physics 2013-06-04 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , G. Leuchs

We advocate a simple multipole expansion of the polarisation density matrix. The resulting multipoles appear as successive moments of the Stokes variables and can be obtained from feasible measurements. In terms of these multipoles, we…

We discuss different proposals for the degree of polarization of quantum fields. The simplest approach, namely making a direct analogy with the classical description via the Stokes operators, is known to produce unsatisfactory results.…

Quantum Physics · Physics 2010-09-23 G. Bjork , J. Soderholm , L. L. Sanchez-Soto , A. B. Klimov , I. Ghiu , P. Marian , T. A. Marian

The characterization of quantum polarization of light requires knowledge of all the moments of the Stokes variables, which are appropriately encoded in the multipole expansion of the density matrix. We look into the cumulative distribution…

Quantum Physics · Physics 2015-09-29 G. Bjork , A. B. Klimov , P. de la Hoz , M. Grassl , G. Leuchs , L. L. Sanchez-Soto

We study polarization properties of the macroscopic analogues of two-photon Bell states. The effect of hidden polarization, i.e., polarization in the second (and higher) orders in the intensity is observed for the triplet states while the…

Polarization of light is harnessed in an abundance of classical and quantum applications. Characterizing polarization in a classical sense is done resoundingly successfully using the Stokes parameters, and numerous proposals offer new…

Quantum Physics · Physics 2018-10-05 Aaron Z. Goldberg , Daniel F. V. James

It is well established that unpolarized light is invariant with respect to any SU(2) polarization transformation. This requirement fully characterizes the set of density matrices representing unpolarized states. We introduce the degree of…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , L. L. Sanchez-Soto , E. C. Yustas , J. Soderholm , G. Bjork

We present a moment expansion method for the systematic characterization of the polarization properties of quantum states of light. Specifically, we link the method to the measurements of the Stokes operator in different directions on the…

The quantum theory of polariton condensation in a trapped state reveals a second-order phase transition evidenced by spontaneous polarization parity breaking in sub-spaces of fixed polariton occupation numbers. The emission spectra of a…

Mesoscale and Nanoscale Physics · Physics 2024-08-14 Huawen Xu , Timothy C. H. Liew , Yuri G. Rubo

Polarization of light signifies transversal, anisotropic and asymmetrical statistical property of electromagnetic radiation about direction of propagation. Traditionally, optical-polarization is characterized by Stokes theory susceptible to…

Optics · Physics 2015-06-15 Ravi S. Singh , Hari Prakash

This work discuss the entanglement and quantum polarization of superpositions of two-mode coherent states. We use the concurrence to measure their entanglements and the quantum Stokes parameters and the Q function in order to analyze their…

Quantum Physics · Physics 2008-07-02 Joao Batista Rosa Silva , Rubens Viana Ramos

We comprehensively review the quantum theory of the polarization properties of light. In classical optics, these traits are characterized by the Stokes parameters, which can be geometrically interpreted using the Poincar\'e sphere.…

A new family of polarized ensembles of random pure states is presented. These ensembles are obtained by linear superposition of two random pure states with suitable distributions, and are quite manageable. We will use the obtained results…

Mathematical Physics · Physics 2013-07-25 F. D. Cunden , P. Facchi , G. Florio

The degree of polarization of a quantum state can be defined as its Hilbert-Schmidt distance to the set of unpolarized states. We demonstrate that the states optimizing this degree for a fixed average number of photons $\bar{N}$ present a…

Quantum Physics · Physics 2008-07-25 L. L. Sanchez-Soto , E. C. Yustas , G. Bjork , A. B. Klimov

We demonstrate that the multipoles associated with the density matrix are truly observable quantities that can be unambiguously determined from intensity moments. Given their correct transformation properties, these multipoles are the…

Density matrices of pure multiphoton Fock polarization states and of arising from them reduced density matrices of mixed states are expressed in similar ways in terms of matrices of correlators defined as averaged products of equal numbers…

Quantum Physics · Physics 2019-05-08 S. V. Vintskevich , D. A. Grigoriev , N. I. Miklin , M. V. Fedorov

From an appropriate parameterization of the three-dimensional (3D) coherency matrix R, that characterizes the second-order, classical states of polarization, the coherency matrices are classified and interpreted in terms of incoherent…

Optics · Physics 2015-06-22 Jose J. Gil

We propose the entanglement dipole polarization to describe the topological quadrupole phase. The quadrupole moment can be regarded as a pair of the dipole moment, in which the total dipole moment is canceled. The entanglement polarization,…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 T. Fukui , Y. Hatsugai

Based upon standard angular momentum theory, we develop a framework to investigate polarization squeezing and multipartite entanglement of a quantum light field. Both mean polarization and variances of the Stokes parameters are obtained…

Quantum Physics · Physics 2016-04-27 G. R. Jin , S. Luo , Y. C. Liu , H. Jing , W. M. Liu

We numerically examine a system of monodisperse self-propelled particles interacting with each other via simple steric forces and aligning torques moving through a periodic array of obstacles. Without obstacles, this system shows a…

Soft Condensed Matter · Physics 2025-02-27 Daniel Canavello , C. Reichhardt , C. J. O Reichhardt , Clécio C. de Souza Silva
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