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Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state $\vert \alpha,m \rangle$ due to a time--dependence of the frequency of the…

高能物理 - 理论 · 物理学 2009-09-25 V. V. Dodonov , Ya. A. Korennoy , V. I. Man'ko , Y. A. Muukhin

The monochromatic Dirac and polychromatic Titulaer-Glauber quantized field theories (QFTs) of electromagnetism are derived from a photon-energy wave function in much the same way that one derives QFT for electrons, that is, by quantization…

量子物理 · 物理学 2008-11-26 Brian J. Smith , M. G. Raymer

We establish the relation of the spin tomogram to the Wigner function on a discrete phase space of qubits. We use the quantizers and dequantizers of the spin tomographic star-product scheme for qubits to derive the expression for the kernel…

Non-Gaussian mechanical states are a key resource for quantum-enhanced sensing and tests of macroscopic quantum physics. We propose a measurement-based protocol to herald delocalized, nonclassical states of a mechanical oscillator in cavity…

量子物理 · 物理学 2026-02-03 Matteo Bordin

We establish a method of directly measuring and estimating non-classicality - operationally defined in terms of the distinguishability of a given state from one with a positive Wigner function. It allows to certify non-classicality, based…

量子物理 · 物理学 2011-05-03 A. Mari , K. Kieling , B. Melholt Nielsen , E. S. Polzik , J. Eisert

We study the possibility of giving a classical interpretation to quantum projective measurements for a particle described by a pure Gaussian state whose Wigner function is non-negative. We analyze the case of a projective measurement which…

量子物理 · 物理学 2009-11-13 Amir Kalev , Ady Mann , Pier A. Mello , Michael Revzen

Computational challenges associated with the use of Wigner functions to identify non-classical properties of states are addressed with the aid of generating functions. It allows the computation of the Wigner functions of photon-subtracted…

量子物理 · 物理学 2021-11-18 Filippus S. Roux

The Wigner function W(q,p) is formulated as a phase-space path integral, whereby its sign oscillations can be seen to follow from interference between the geometrical phases of the paths. The approach has similarities to the path-centroid…

量子物理 · 物理学 2009-11-10 J. H. Samson

We have recently developed a position-dependent quantization scheme for describing the ladder and effective photon-number operators associated with the electric field to analyze quantum optical energy transfer in lossy and dispersive…

量子物理 · 物理学 2014-12-02 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki

The characterization of quantum features in large Hilbert spaces is a crucial requirement for testing quantum protocols. In the continuous variables encoding, quantum homodyne tomography requires an amount of measurements that increases…

量子物理 · 物理学 2020-10-29 Valeria Cimini , Marco Barbieri , Nicolas Treps , Mattia Walschaers , Valentina Parigi

Photon number states are assigned a parity of if their photon number is even and a parity of if odd. The parity operator, which is minus one to the power of the photon number operator, is a Hermitian operator and thus a quantum mechanical…

量子物理 · 物理学 2015-05-19 Christopher C. Gerry , Jihane Mimih

The Schr\"odinger equation in phase space is used to calculate the Wigner function for the Helium atom in the approximation of a system of two oscillators. Dissipation effect is analysed and the non-classicality of the state is studied by…

量子物理 · 物理学 2016-08-31 H. Dessano , R. G. G. Amorim , S. C. Ulhoa , A. E. Santana

We investigate the Wigner rotation for photons, which governs the change in the polarization of the photon as it propagates through an arbitrary gravitational field. We give explicit examples in Schwarzschild spacetime, and compare with the…

量子物理 · 物理学 2009-02-10 P. M. Alsing , G. J. Stephenson

A quantum state can be written in phase space, but the resulting object is not generally the probability density of a positive stochastic process on ordinary phase space. We spell this out for Wigner dynamics. If a positive phase-space…

量子物理 · 物理学 2026-05-08 Surachate Limkumnerd , Panat Phanthaphanitkul

On the basis of the phase states, we present the correct integral expressions of the two number-phase Wigner functions discovered so far. These correct forms are derived from those defined in the extended Fock space with negative number…

量子物理 · 物理学 2007-05-23 Kiyotaka Kakazu

We calculate the Wigner (quasi)probability distribution function of the quantum optical elliptical vortex (QEV), generated by coupling squeezed vacuum states of two modes. The coupling between the two modes is performed by using beam…

量子物理 · 物理学 2011-04-04 Abir Bandyopadhyay , Shashi Prabhakar , R. P. Singh

Evolution formulas of the density operator, the photon number distribution, and the Wigner function are derived for the problem on the optical fields propagation in realistic environments. The method of deriving these formulas is novel and…

量子物理 · 物理学 2017-01-04 Xue-xiang Xu

Gaussian quantum states hold special importance in the continuous variable (CV) regime. In quantum information science, the understanding and characterization of central resources such as entanglement may strongly rely on the knowledge of…

Determining the state of a system and measuring properties of its evolution are two of the most important tasks a physicist faces. For the first purpose one can use tomography, a method that after subjecting the system to a number of…

We determine a positive normalised phase space probability distribution $P$ with minimum mean square fractional deviation from the Wigner distribution $W$ .The minimum deviation, an invariant under phase space rotations, is a quantitative…

量子物理 · 物理学 2015-06-15 Arunabha S. Roy , S. M. Roy