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We have reconstructed the quantum state of optical pulses containing single photons using the method of phase-randomized pulsed optical homodyne tomography. The single-photon Fock state |1> was prepared using conditional measurements on…

Quantum Physics · Physics 2009-11-07 A. I. Lvovsky , H. Hansen , T. Aichele , O. Benson , J. Mlynek , S. Schiller

We investigate the nonclassicality of photon-added coherent states in the photon loss channel by exploring the entanglement potential and negative Wigner distribution. The total negative probability defined by the absolute value of the…

Quantum Physics · Physics 2009-11-13 Shang-Bin Li , Xu-Bo Zou , Guang-Can Guo

The fate of entanglement of spins for two heavy constituents of a bound state moving in a strong laser field is analyzed within the semiclassical approach. The bound state motion as a whole is considered classically beyond the dipole…

Quantum Physics · Physics 2015-06-16 V. Gerdt , S. Gogilidze , A. Khvedelidze , D. Mladenov , V. Sanadze

We determine the Wigner function of a rigidly rotating quantum electrodynamics (QED) plasma in the presence of a constant magnetic field by utilizing the Riemannian normal coordinate approximation, which has been previously proposed in the…

Nuclear Theory · Physics 2025-09-23 M. Kiamari , N. Sadooghi

Long ago appeared a discussion in quantum mechanics of the problem of opening a completely absorbing shutter on which were impinging a stream of particles of definite velocity. The solution of the problem was obtained in a form entirely…

Quantum Physics · Physics 2009-10-31 Vladimir Man'ko , Marcos Moshinsky , Anju Sharma

The quantum state of a light beam can be represented as an infinite dimensional density matrix or equivalently as a density on the plane called the Wigner function. We describe quantum tomography as an inverse statistical problem in which…

Statistics Theory · Mathematics 2007-06-13 L. M. Artiles , R. D. Gill , M. I. Guta

We present the reconstruction of the Wigner function of a classical phase-sensitive state, a pulsed coherent state, by measurements of the distributions of detected-photons of the state displaced by a coherent probe field. By using a hybrid…

Quantum Physics · Physics 2016-04-27 Maria Bondani , Alessia Allevi , Alessandra Andreoni

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

We present a calculation of the imaginary part of the polarizability of a Wigner crystal using the Fluctuation-Dissipation theorem. The oscillations of the localized electrons about their equilibrium positions are treated in the harmonic…

Strongly Correlated Electrons · Physics 2025-09-10 Navinder Singh

Density matrices and Discrete Wigner Functions are equally valid representations of multiqubit quantum states. For density matrices, the partial trace operation is used to obtain the quantum state of subsystems, but an analogous…

Quantum Physics · Physics 2017-12-08 K. Srinivasan , G. Raghavan

I revue the so called Wilson loop approach to bound state problem in QCD. I shall show how using appropriate path integral representations for the quark propagator in an external field it is possible to obtain corresponding path integral…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. M. Prosperi

We consider the Wigner quasi-probability distribution function of a single mode of an electromagnetic or matter-wave field to address the question of whether a direct stochastic sampling and binning of the absolute square of the complex…

Quantum Physics · Physics 2016-09-13 R. J. Lewis-Swan , M. K. Olsen , K. V. Kheruntsyan

The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators. The result is…

Quantum Gases · Physics 2017-05-11 Dries Sels , Fons Brosens

In one-channel, finite-size Luttinger one-dimensional quantum dots, both Friedel oscillations and Wigner correlations induce oscillations in the electron density with the same wavelength, pinned at the same position. Therefore, observing…

Strongly Correlated Electrons · Physics 2015-06-24 F. M. Gambetta , N. Traverso Ziani , F. Cavaliere , M. Sassetti

We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark state, where it was considered a linear potential in the…

High Energy Physics - Theory · Physics 2023-04-24 M. Abu-Shady , Renato R. Luz , G. X. A. Petronilo , R. G. G. Amorim , A. E. Santana

Recently, a new definition for a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum, was developed. This distribution function is…

Quantum Physics · Physics 2016-12-23 Roy Oste , Joris Van der Jeugt

We develop a method of simulating the full quantum field dynamics of multi-mode multi-component Bose-Einstein condensates in a trap. We use the truncated Wigner representation to obtain a probabilistic theory that can be sampled. This…

Quantum Gases · Physics 2013-04-24 Bogdan Opanchuk , Peter D. Drummond

A standard method to obtain information on a quantum state is to measure marginal distributions along many different axes in phase space, which forms a basis of quantum state tomography. We theoretically propose and experimentally…

Representations of the Poincar\'{e} symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions ( quasi amplitudes of probability) associated with Wigner functions (quasi probability…

High Energy Physics - Theory · Physics 2015-09-02 R. G. G. Amorim , F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Squeezed states are one of the most useful quantum optical models having various applications in different areas, especially in quantum information processing. Generalized squeezed states are even more interesting since, sometimes, they…

Quantum Physics · Physics 2018-10-29 Kevin Zelaya , Sanjib Dey , Véronique Hussin