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Probing the Quantum Vacuum Using Nonlinear Crystals: a Macroscopic Quantum Electrodynamics Perspective

Probing the Quantum Vacuum Using Nonlinear Crystals: a Macroscopic Quantum Electrodynamics Perspective PDF Author: Frieder Lindel
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Abstract: Vacuum fluctuations of the electromagnetic field associated with the ground state exist as a consequence of Heisenberg's uncertainty principle. These fluctuating fields manifest themselves indirectly through their influence on matter where they may be regarded as responsible for important processes in nature, e.g. spontaneous emission, the Lamb shift, Casimir and Casimir-Polder forces. More recently, an alternative route to observing the quantum vacuum has been developed in electro-optic sampling experiments: they are based on the output statistics of ultrashort laser pulses sent through nonlinear crystals whose optical properties are influenced by the vacuum fluctuations. In this thesis, we develop a theoretical framework based on macroscopic quantum electro- dynamics for describing the propagation of quantised electric fields through a nonlinear crystal allowing for general environments. We apply this framework to the setup of electro-optic sampling, finding a description of the experiments which extends previous theoretical results beyond the paraxial approximation and by allowing for general ab- sorptive and dispersive environments via the classical Green's tensor. We show that the predictions of our theory for electro-optic sampling experiments in bulk media are in good agreement with the experimental data, recovering previous theoretical findings in certain limits, and how these experiments can be used to individually measure longitudinal or transverse fluctuating fields. We argue that by modifying the experimental setup, one can observe different characteristics of the environment-assisted quantum vacuum such as changes induced by metallic plates and cavities or surface resonances of these objects. This makes it possible to experimentally test the theoretical predictions for the medium-assisted ground state of quantum electrodynamics and thereby forging the missing link between geometry-induced vacuum effects such as e.g. the Casimir effect and electro-optic sampling of the vacuum

Probing the Quantum Vacuum Using Nonlinear Crystals: a Macroscopic Quantum Electrodynamics Perspective

Probing the Quantum Vacuum Using Nonlinear Crystals: a Macroscopic Quantum Electrodynamics Perspective PDF Author: Frieder Lindel
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Abstract: Vacuum fluctuations of the electromagnetic field associated with the ground state exist as a consequence of Heisenberg's uncertainty principle. These fluctuating fields manifest themselves indirectly through their influence on matter where they may be regarded as responsible for important processes in nature, e.g. spontaneous emission, the Lamb shift, Casimir and Casimir-Polder forces. More recently, an alternative route to observing the quantum vacuum has been developed in electro-optic sampling experiments: they are based on the output statistics of ultrashort laser pulses sent through nonlinear crystals whose optical properties are influenced by the vacuum fluctuations. In this thesis, we develop a theoretical framework based on macroscopic quantum electro- dynamics for describing the propagation of quantised electric fields through a nonlinear crystal allowing for general environments. We apply this framework to the setup of electro-optic sampling, finding a description of the experiments which extends previous theoretical results beyond the paraxial approximation and by allowing for general ab- sorptive and dispersive environments via the classical Green's tensor. We show that the predictions of our theory for electro-optic sampling experiments in bulk media are in good agreement with the experimental data, recovering previous theoretical findings in certain limits, and how these experiments can be used to individually measure longitudinal or transverse fluctuating fields. We argue that by modifying the experimental setup, one can observe different characteristics of the environment-assisted quantum vacuum such as changes induced by metallic plates and cavities or surface resonances of these objects. This makes it possible to experimentally test the theoretical predictions for the medium-assisted ground state of quantum electrodynamics and thereby forging the missing link between geometry-induced vacuum effects such as e.g. the Casimir effect and electro-optic sampling of the vacuum

Probing the Quantum Vacuum

Probing the Quantum Vacuum PDF Author: Walter Dittrich
Publisher: Springer
ISBN: 354045585X
Category : Science
Languages : en
Pages : 244

Book Description
This book is devoted to an investigation of the vacuum of quantum elec trodynamics (QED), relying on the perturbative effective action approach. If the vacuum is probed with external perturbations, the response of the system can be analyzed after averaging over the high energy degrees of freedom. This results in an effective description of the properties of the vacuum, which are comparable to the properties of a classical medium. We concentrate primarily on the physics of slowly varying fields or soft photons by integrating out the high energy degrees of freedom, i.e. the elec trons, employing Schwinger's proper time method. We derive a new represen tation of the one loop photon polarization tensor, coupling to all orders to an arbitrary constant electromagnetic field, fully maintaining the dependence on the complete set of invariants. On the basis of effective Lagrangians, we derive the light cone condition for low frequency photons propagating in strong fields. Our formalism can be extended to various external perturbations, such as temperature and Casimir situations. We give a proof of the "unified formula" for low energy phenom ena that describes the refractive indices of various perturbed quantum vacua. In the high energy domain, we observe similarities between a vacuum with a superstrong magnetic field and a magnetized plasma. The question of mea surability of the various effects is addressed; a violation of causality is not found.

Probing the Quantum Vacuum

Probing the Quantum Vacuum PDF Author: Walter Dittrich
Publisher:
ISBN: 9783662147078
Category :
Languages : en
Pages : 260

Book Description


Quantum Electrodynamics

Quantum Electrodynamics PDF Author: E.S. Fradkin
Publisher: Springer
ISBN: 9783642842603
Category : Science
Languages : en
Pages : 0

Book Description
This book contains a systematic analysis of the formalisms of quantum electro dynamics in the presence of an intense external field able to create pairs from the vacuum, and thereby violate the stability of the latter. The approach developed is not specific to quantum electrodynamics, and can equally well be applied to any quantum field theory with an unstable vacuum. It should be noted that only macroscopic external fields are considered, whereas problems associated with the superstrong Coulomb (micro) field are not treated. As a rule, the discussion is confined to those details of the formalism and calculations that are specific to the instability property. For instance, renormalization is not discussed here since, in practical calculations, it is carried out according to standard methods. The presentation is based mainly on original research undertaken by the authors. Chapter 1 contains a general introduction to the problem. It also presents some standard information on quantum electrodynamics, which will be used later in the text. In addition, an interpretation of the concept of an external field is given, and the problems that arise when one tries to keep the interaction with the external field exactly are discussed. In Chapter 2, the perturbation expansion in powers of the radiative interac tion is developed for the matrix elements of transition processes, taking the arbitrary external field into account exactly.

Quantum Electrodynamics

Quantum Electrodynamics PDF Author: E.S. Fradkin
Publisher: Springer
ISBN: 9783642842580
Category : Science
Languages : en
Pages : 0

Book Description
This book contains a systematic analysis of the formalisms of quantum electro dynamics in the presence of an intense external field able to create pairs from the vacuum, and thereby violate the stability of the latter. The approach developed is not specific to quantum electrodynamics, and can equally well be applied to any quantum field theory with an unstable vacuum. It should be noted that only macroscopic external fields are considered, whereas problems associated with the superstrong Coulomb (micro) field are not treated. As a rule, the discussion is confined to those details of the formalism and calculations that are specific to the instability property. For instance, renormalization is not discussed here since, in practical calculations, it is carried out according to standard methods. The presentation is based mainly on original research undertaken by the authors. Chapter 1 contains a general introduction to the problem. It also presents some standard information on quantum electrodynamics, which will be used later in the text. In addition, an interpretation of the concept of an external field is given, and the problems that arise when one tries to keep the interaction with the external field exactly are discussed. In Chapter 2, the perturbation expansion in powers of the radiative interac tion is developed for the matrix elements of transition processes, taking the arbitrary external field into account exactly.

Forces of the Quantum Vacuum

Forces of the Quantum Vacuum PDF Author: William M. R. Simpson
Publisher: World Scientific Publishing Company
ISBN: 9789814632904
Category : Casimir effect
Languages : en
Pages : 0

Book Description
Forces of the Quantum Vacuum presents a number of theoretical approaches to Casimir, van der Waals and Casimir-Polder forces that have been fruitfully employed in mainstream research, and also reviews the experimental evidence for Casimir forces. Beginning with basic ideas in quantum mechanics and building its way to a sophisticated form of macroscopic QED, the book provides an inspiring training manual for graduate students to develop in a natural progression the ideas needed for modern theoretical research on Casimir forces.

Quantum Field Theory with Application to Quantum Nonlinear Optics

Quantum Field Theory with Application to Quantum Nonlinear Optics PDF Author: Anatoliĭ Karolevich Prikarpatskiĭ
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812381637
Category : Science
Languages : en
Pages : 122

Book Description
Multi-photon excitation states of poly-atomic molecules undergoing a self-interaction via Kerr effect related processes are of great interest today. Their successful study must be both analytical and by means of modern quantum field theoretical tools. This book deals with these and related topics by developing modern quantum field theory methods for the analysis of radiative states in a nonlinear quantum-optical system. These lecture notes are ideally suited to graduate mathematical physics and physics students, but can also be of interest to mathematicians involved in applied physics problems, and physicists and chemists studying phenomena related with modern quantum-optical devices.

Optomechanics with Quantum Vacuum Fluctuations

Optomechanics with Quantum Vacuum Fluctuations PDF Author: Zhujing Xu
Publisher: Springer
ISBN: 9783031430510
Category : Science
Languages : en
Pages : 0

Book Description
This thesis presents the first realization of non-reciprocal energy transfer between two cantilevers by quantum vacuum fluctuations. According to quantum mechanics, vacuum is not empty but full of fluctuations due to zero-point energy. Such quantum vacuum fluctuations can lead to an attractive force between two neutral plates in vacuum – the so-called Casimir effect – which has attracted great attention as macroscopic evidence of quantum electromagnetic fluctuations, and can dominate the interaction between neutral surfaces at small separations. The first experimental demonstration of diode-like energy transport in vacuum reported in this thesis is a breakthrough in Casimir-based devices. It represents an efficient and robust way of regulating phonon transport along one preferable direction in vacuum. In addition, the three-body Casimir effects investigated in this thesis were used to realize a transistor-like three-terminal device with quantum vacuum fluctuations. These two breakthroughs pave the way for exploring and developing advanced Casimir-based devices with potential applications in quantum information science. This thesis also includes a study of the non-contact Casimir friction, which will enrich the understanding of quantum vacuum fluctuations.

Advanced Quantum Mechanics

Advanced Quantum Mechanics PDF Author: Freeman J. Dyson
Publisher:
ISBN:
Category : Quantum theory
Languages : en
Pages : 228

Book Description


Vacuum Structure in Intense Fields

Vacuum Structure in Intense Fields PDF Author: H.M. Fried
Publisher: Springer
ISBN: 9781475704426
Category : Science
Languages : en
Pages : 452

Book Description
This Advanced Study Institute (ASI) brought together two distinct ·"schools of approach" to Quantum Electrodynamics (QED) in the presence of intense, external, electromagnetic fields, in an effort to lay a joint foundation for a needed theoretical explanation of the sharp e+ e- "resonances" observed in the scattering of very heavy IOns. These (GSI/Darmstadt) experiments, whose history, latest reconfirmations, and most recent data were presented in three opening sessions (Bokemeyer, Koenig), show a smooth background of positron (e+) production, as a function of e+ kinetic energy. Superimposed upon this background are four very sharp peaks, of narrow widths (~ 30 KeV) and of clear experimental significance ('" 5 standard deviations). Most ofthese peaks correspond to sharp, essentially back-to-back electron-positron emission in the ions' center of mass. Following the approach of "supercritical" potential theory (SPT), where the total ionic charge unit Z satisfies Z > 137, it has been possible to provide a detailed and apparently correct understanding of the smooth e+ e- background; a coherent description of different facets of this approach, emphasizing the nature of the charged, supercritical vacuum, was described by the authors responsible for the invention of SPT (Greiner, Muller, Rafelski). In addition, predictions for related phenomena were outlined by other lecturers using the SPT approach (Bawin, Soff, SsJrensen).