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We map the quantum problem of a free bosonic field in a space-time dependent background into a classical problem. $N$ degrees of freedom of a real field in the quantum theory are mapped into $2N^2$ classical simple harmonic oscillators with…

High Energy Physics - Theory · Physics 2019-09-11 Tanmay Vachaspati , George Zahariade

Based on the measurement of quantum correlation functions, the quantum statistical properties of spectral measurements are studied for broadband radiation fields. The spectral filtering of light before its detection is compared with the…

Quantum Physics · Physics 2015-01-15 P. Grünwald , D. Vasylyev , J. Häggblad , W. Vogel

We introduce an experimentally accessible method to measure a unique degree of nonclassicality, based on the quantum superposition principle, for arbitrary quantum states. We formulate witnesses and test a given state for any particular…

Quantum Physics · Physics 2014-09-19 M. Mraz , J. Sperling , W. Vogel , B. Hage

Parallel to the quantization of the complex plane, using the canonical coherent states of a right quaternionic Hilbert space, quaternion field of quaternionic quantum mechanics is quantized. Associated upper symbols, lower symbols and…

Mathematical Physics · Physics 2015-10-08 B. Muraleetharan , K. Thirulogasanthar

Classical and quantum dynamics of a harmonic oscillator in a monochromatic wave is studied in the exact resonance and near resonance cases. This model describes, in particular, a dynamics of a cold ion trapped in a linear ion trap and…

Chaotic Dynamics · Physics 2009-10-31 Gennady P. Berman , Daniel F. V. James , Dimitry I. Kamenev

We propose to experimentally test the nonclassicality of quantum states through homodyne tomography. For single-mode states we check violations of inequalities involving the photon-number probability. For two-mode states we test the…

Quantum Physics · Physics 2009-10-31 G. M. D'Ariano , M. F. Sacchi , P. Kumar

In a partially observed quantum or classical system the information that we cannot access results in our description of the system becoming mixed even if we have perfect initial knowledge. That is, if the system is quantum the conditional…

Quantum Physics · Physics 2009-11-11 Jay Gambetta , H. M. Wiseman

We present an algorithmic approach to calculate the quantum-noise spectral density of photocurrents generated by optical fields with arbitrary discrete classical spectrum in coherent or squeezed states. The measurement scheme may include an…

Quantum Physics · Physics 2009-11-13 J. Harms , P. Cochrane , A. Freise

A method for measuring an integral of a classical field via local interaction of a single quantum particle in a superposition of 2^N states is presented. The method is as efficient as a quantum method with N qubits passing through the field…

Quantum Physics · Physics 2009-11-10 Lev Vaidman , Amir Kalev

We consider relativistic coherent states for a spin-0 charged particle that satisfy the next additional requirements: (i) the expected values of the standard coordinate and momentum operators are uniquely related to the real and imaginary…

Quantum Physics · Physics 2009-11-07 B. I. Lev , A. A. Semenov , C. V. Usenko , J. R. Klauder

This paper has a dual purpose. One aim is to study the evolution of coherent states in ordinary quantum mechanics. This is done by means of a Hamiltonian approach to the evolution of the parameters that define the state. The stability of…

General Relativity and Quantum Cosmology · Physics 2012-08-27 A. A. Minzoni , Marcos Rosenbaum , Michael P. Ryan,

Coherent states have three main properties: coherence, overcompleteness and intrinsic geometrization. These unique properties play fundamental roles in field theory, especially, in the description of classical domains and quantum…

High Energy Physics - Theory · Physics 2007-05-23 Wei-Min Zhang

In this work, we study the response of a detector confined in a harmonic oscillator potential when interacting with classical and quantum gravitational fields. The detector response is characterized through transition probabilities between…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Anom Trenggana , Freddy P. Zen , Seramika Ariwahjoedi

The superposition of quantum states lies at the heart of physics and has been recently found to serve as a versatile resource for quantum information protocols, defining the notion of quantum coherence. In this contribution, we report on…

Quantum Physics · Physics 2019-10-16 Valeria Cimini , Ilaria Gianani , Marco Sbroscia , Jan Sperling , Marco Barbieri

The motion of neutral particles with magnetic moments in an inhomogeneous magnetic field is described in a semi-classical framework. The concept of Coherent Internal States is used in the formulation of the semiclassical approximation from…

Quantum Physics · Physics 2009-11-06 S. Cruz-Barrios , J. Gomez-Camacho

Mixtures of coherent states are commonly regarded as classical. Here we show that there is a quantum advantage in discriminating between coherent states in a mixture, implying the presence of quantum properties in the mixture, which are…

Quantum Physics · Physics 2018-02-26 I. Starshynov , J. Bertolotti , J. Anders

Any attempt to describe nature within classical physics requires the presence of Lorentz-invariant classical electromagnetic zero-point radiation so as to account for the Casimir forces between parallel conducting plates at low…

Classical Physics · Physics 2011-11-30 Timothy H. Boyer

We develop a formalism to calculate the response of a model gravitational wave detector to a quantized gravitational field. Coupling a detector to a quantum field induces stochastic fluctuations ("noise") in the length of the detector arm.…

High Energy Physics - Theory · Physics 2021-08-25 Maulik Parikh , Frank Wilczek , George Zahariade

It has recently been argued that the inability to measure the absolute phase of an electromagnetic field prohibits the representation of a laser's output as a quantum optical coherent state. This argument has generally been considered…

Quantum Physics · Physics 2009-11-10 Kae Nemoto , Samuel L. Braunstein

We study the radiation of photons from a classical charged particle. We particularly consider a situation where the particle has a constant velocity in the distant past, then is accelerated, and then has a constant velocity in the distant…

Mathematical Physics · Physics 2021-02-09 J. Dimock