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The problem of building coherent states from non-normalizable fiducial states is considered. We propose a way of constructing such coherent states by regularizing the divergence of the fiducial state norm. Then, we successfully apply the…

Mathematical Physics · Physics 2015-06-03 Joseph Ben Geloun , Jeff Hnybida , John R. Klauder

In spite of its fundamental importance in quantum science and technology, the experimental certification of nonclassicality is still a challenging task, especially in realistic scenarios where losses and noise imbue the system. Here, we…

Quantum Physics · Physics 2021-01-29 Nicola Biagi , Martin Bohmann , Elizabeth Agudelo , Marco Bellini , Alessandro Zavatta

Semiconductor microcavities with artificial single-photon emitters have become one of the backbones of semiconductor quantum optics. In many cases however, technical and physical issues limit the study of optical fields to incoherently…

Quantum Physics · Physics 2015-12-01 L. Teuber , P. Grünwald , W. Vogel

Classical electrodynamics is reformulated in terms of wave functions in the classical phase space of electrodynamics, following the Koopman-von Neumann-Sudarshan prescription for classical mechanics on Hilbert spaces {\em sans} the…

Quantum Physics · Physics 2014-11-25 A. K. Rajagopal , Partha Ghose

We introduce a method for the conditional generation of nonclassical states of light in a cavity. We consider two-level atoms traveling along the transverse direction to the cavity axis and show that by conditioning on one of the output…

Quantum Physics · Physics 2019-10-21 Karsten Weiher , Elizabeth Agudelo , Martin Bohmann

Harmonic oscillator coherent states are well known to be the analogue of classical states. On the other hand, nonlinear and generalised coherent states may possess nonclassical properties. In this article, we study the nonclassical…

Quantum Physics · Physics 2016-06-02 Anaelle Hertz , Sanjib Dey , Véronique Hussin , Hichem Eleuch

The domain of application of quantization methods is traditionally restricted to smooth classical observables. We show that the coherent states or "anti-Wick" quantization enables us to construct fairly reasonable quantum versions of…

Quantum Physics · Physics 2008-12-03 Biswajit Chakraborty , Jean Pierre Gazeau , Ahmed Youssef

Nonclassicality conditions for an oscillator-like system interacting with a hot thermal bath are considered. Nonclassical properties of quantum states can be conserved up to a certain temperature threshold only. In this case, affection of…

Quantum Physics · Physics 2007-05-23 A. A. Semenov , D. Yu. Vasylyev , B. I. Lev

The Dirac delta function is widely used in many areas of physics and mathematics. Here we consider the generalization of a Dirac delta function to allow the use of complex arguments. We show that the properties of a generalized delta…

Quantum Physics · Physics 2018-02-28 R. A. Brewster , J. D. Franson

Harnessing a beam of slow free electrons in artificial photonic structures offers a powerful, tunable platform for generating nonclassical light without the need for heavy physical equipment. Here we present a theory of nonclassical lasing,…

A classical state-preparation device cannot generate states in relative superposition. We introduce classical models in which devices that are individually unable to generate states with relative superposition can be stochastically…

Quantum Physics · Physics 2026-02-03 Gabriele Cobucci , Alexander Bernal , Martin J. Renner , Armin Tavakoli

Classical polarization optics is naturally described by a two-dimensional complex Hilbert space (Jones vectors), so the tensor-product kinematics underlying bipartite nonseparability is already available classically. For statistical…

Quantum Physics · Physics 2026-02-17 Partha Ghose

Non-Gaussianity inducing operations are studied in the recent past from different perspectives. Here, we study the role of photon addition, a non-Gaussianity inducing operation, in the enhancement of nonclassicality in a finite dimensional…

Quantum Physics · Physics 2022-06-10 Priya Malpani , Kishore Thapliyal , Anirban Pathak

Nonclassical phenomena of quantum mechanics such as anticorrelation and photonic de Broglie waves (PBWs) have been recently understood as a special case of coherence optics with a particular phase relation between orthogonal bases composing…

Quantum Physics · Physics 2020-08-07 Byoung S. Ham

There are quantum states of light that can be expressed as finite superpositions of Fock states (FSFS). We demonstrate the nonclassicality of an arbitrary FSFS by means of its phase space distributions such as the Wigner function and the…

Quantum Physics · Physics 2022-06-10 Anirban Pathak , J. Banerji

Understanding quantum phenomena which go beyond classical concepts is a focus of modern quantum physics. Here, we show how the theory of nonnegative polynomials emerging around Hilbert's 17th problem, can be used to optimally exploit data…

Recently, based on a supersymmetric approach, new classes of conditionally exactly solvable problems have been found, which exhibit a symmetry structure characterized by non-linear algebras. In this paper the associated ``non-linear''…

Quantum Physics · Physics 2009-10-31 Georg Junker , Pinaki Roy

Full quantum tomography of high-dimensional quantum systems is experimentally infeasible due to the exponential scaling of the number of required measurements on the number of qubits in the system. However, several ideas were proposed…

Quantum Physics · Physics 2021-01-20 G. I. Struchalin , Ya. A. Zagorovskii , E. V. Kovlakov , S. S. Straupe , S. P. Kulik

We develop an enhanced technique for characterizing quantum optical processes based on probing unknown quantum processes only with coherent states. Our method substantially improves the original proposal [M. Lobino et al., Science 322, 563…

The quantization of the electromagnetic field leads directly to the existence of quantum mechanical states, called Fock states, with an exact integer number of photons. Despite these fundamental states being long-understood, and despite…

Quantum Physics · Physics 2023-03-29 Nicholas Rivera , Jamison Sloan , Yannick Salamin , John D. Joannopoulos , Marin Soljacic