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Semiclassical quantization is exact only for the so called \emph{solvable} potentials, such as the harmonic oscillator. In the \emph{nonsolvable} case the semiclassical phase, given by a series in $\hbar$, yields more or less approximate…

Quantum Physics · Physics 2007-05-23 A. Matzkin

This paper presents a generalization of a method allowing the transformation of the Elliptic Curve Discrete Logarithm Problem (ECDLP) over prime fields to the Quadratic Unconstrained Binary Optimization (QUBO) problem. The original method…

Cryptography and Security · Computer Science 2024-10-14 Łukasz Dzierzkowski

We present a theoretical analysis of the connection between classical polarization optics and quantum mechanics of two-level systems. First, we review the matrix formalism of classical polarization optics from a quantum information…

Quantum Physics · Physics 2009-11-13 A. Aiello , G. Puentes , J. P. Woerdman

We discuss the deformation quantization approach for the teaching of quantum mechanics. This approach has certain conceptual advantages which make its consideration worthwhile. In particular, it sheds new light on the relation between…

Quantum Physics · Physics 2015-06-26 Allen C. Hirshfeld , Peter Henselder

Techniques to control the quantum state of light play a crucial role in a wide range of fields, from quantum information science to precision measurements. While for electrons in solid state materials complex quantum states can be created…

Quantum Gases · Physics 2019-11-18 Christian Kurtscheid , David Dung , Erik Busley , Frank Vewinger , Achim Rosch , Martin Weitz

We address nonsequential double ionization induced by strong, linearly polarized laser fields of only a few cycles, considering a physical mechanism in which the second electron is dislodged by the inelastic collision of the first electron…

Atomic Physics · Physics 2009-11-10 C. Figueira de Morisson Faria , X. Liu , A. Sanpera , M. Lewenstein

A general semiclassical approach to quantum systems with system-bath interactions is developed. We study system decoherence in detail using a coherent state semiclassical wavepacket method which avoids singularity issues arising in the…

Quantum Physics · Physics 2009-11-07 Gregory A. Fiete , Eric J. Heller

The pursuit of compact, programmable light sources with high coherence and spectral purity hinges on establishing a precise set of phase relationships in light-matter interactions. Here, we demonstrate that the quadratic dispersion of…

Optics · Physics 2026-04-24 Songyu Zhu , Yushan Zeng , Chenhao Pan , Yiming Pan , Ye Tian , Ruxin Li

By adding generalizations involving translations, the machinery of the quantum theory of free fields leads to the semiclassical equations of motion for a charged massive particle in electromagnetic and gravitational fields. With the…

General Physics · Physics 2015-07-07 Richard Shurtleff

The ability to measure polarisation, spectrum, temporal dynamics, and spatial amplitude and phase of optical beams is essential to study fundamental phenomena in laser dynamics, telecommunications and nonlinear optics. Current…

The quantum electrodynamical vacuum polarization effects arising in the collision of a high-energy proton beam and a strong, linearly polarized laser field are investigated. The probability that laser photons merge into one photon by…

High Energy Physics - Phenomenology · Physics 2015-05-13 A. Di Piazza , K. Z. Hatsagortsyan , C. H. Keitel

Qutrits, the triple level quantum systems in various forms, have been proposed for quantum information processing recently. By the methods presented in this paper a bi-photonic qutrit, which is encoded with the polarizations of two photons…

Quantum Physics · Physics 2009-12-08 Qing Lin , Bing He

Coherent control experiments in molecules are often done with shaped laser fields. The electric field is described classically and control over the time evolution of the system is achieved by shaping the laser pulses in the time or…

Chemical Physics · Physics 2019-11-27 András Csehi , Gábor J. Halász , Ágnes Vibók , Markus Kowalewski

Scattering in complex media scrambles light, thus obscuring images and limiting applications from astronomy to microscopy. Existing computational and wavefront-shaping methods treat scattering as a linear optical-wave inversion problem that…

Quantum Physics · Physics 2026-03-18 Chloé Vernière , Raphaël Guitter , Baptiste Courme , Hugo Defienne

We study the quantum phase transition of a N two-level atomic ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms.…

Quantum Physics · Physics 2010-11-02 B. M. Rodríguez-Lara , Ray-Kuang Lee

We describe how quasiclassical relative positions of particles emerge in an initially delocalized quantum system as scattering of a probe beam is observed. We show that in the multiparticle case this localization in position space occurs…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

We propose probabilistic controlled-NOT and controlled-phase gates for qubits stored in the polarization of photons. The gates are composed of linear optics and photon detectors, and consume polarization entangled photon pairs. The fraction…

Quantum Physics · Physics 2009-11-07 Masato Koashi , Takashi Yamamoto , Nobuyuki Imoto

We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing)…

Quantum Physics · Physics 2013-05-30 Arseni Goussev , Klaus Richter

Decoherence-free subspaces allow for the preparation of coherent and entangled qubits for quantum computing. Decoherence can be dramatically reduced, yet dissipation is an integral part of the scheme in generating stable qubits and…

Quantum Physics · Physics 2009-11-07 Ben Tregenna , Almut Beige , Peter L. Knight

In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of quantum fluids of light. Such systems consist of ensembles of photons that acquire a finite mass from spatial confinement or…

Quantum Physics · Physics 2022-11-22 Iacopo Carusotto