Nonlinear Optics in Confined Structures for a Better Understanding of Vacuum Field Fluctuations

Casimir forces and vacuum energy

10.1093/oso/9780198768609.003.0009 ◽

2017 ◽

Cited By ~ 1

Author(s):

Serge Reynaud ◽

Astrid Lambrecht

Keyword(s):

Casimir Force ◽

Dimensional Space ◽

Three Dimensional ◽

Thermal Fluctuations ◽

Model Systems ◽

Vacuum Field ◽

Force Measurements ◽

Casimir Forces ◽

Current State ◽

Field Fluctuations

The Casimir force is an effect of quantum vacuum field fluctuations, with applications in many domains of physics. The ideal expression obtained by Casimir, valid for perfect plane mirrors at zero temperature, has to be modified to take into account the effects of the optical properties of mirrors, thermal fluctuations, and geometry. After a general introduction to the Casimir force and a description of the current state of the art for Casimir force measurements and their comparison with theory, this chapter presents pedagogical treatments of the main features of the theory of Casimir forces for one-dimensional model systems and for mirrors in three-dimensional space.

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NONLINEAR OPTICS IN QUANTUM CONFINED STRUCTURES

Contemporary Nonlinear Optics ◽

10.1016/b978-0-12-145135-6.50013-5 ◽

1992 ◽

pp. 297-365 ◽

Cited By ~ 5

Author(s):

C. Flytzanis ◽

J. Hutter

Keyword(s):

Nonlinear Optics ◽

Confined Structures ◽

Quantum Confined

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Interaction Hamiltonian and Spontaneous Emission

An Introduction to Quantum Optics and Quantum Fluctuations ◽

10.1093/oso/9780199215614.003.0004 ◽

2019 ◽

pp. 205-268

Author(s):

Peter W. Milonni

Keyword(s):

Field Theory ◽

Spontaneous Emission ◽

Electric Dipole ◽

Radiation Reaction ◽

Vacuum Field ◽

Coupling Interaction ◽

Fluctuation Dissipation ◽

Level Shifts ◽

Field Fluctuations ◽

Quantized Field

The atom-field interaction is formulated within the fully quantized-field theory, starting from a detailed analysis of the transformation from the fundamental minimal coupling interaction Hamiltonian to the electric dipole Hamiltonian used extensively in quantum optics. Spontaneous emission, radiative level shifts, and the natural radiative lineshape are treated in both the Schrodinger and Heisenberg pictures, with emphasis on the roles of vacuum field fluctuations, radiation reaction, and the fluctuation-dissipation relation between them. The shortcomings of semiclassical radiation theories are discussed.

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Lasing inside microcavities without resorting to the concept of density of states: The effects of vacuum field fluctuations

2017 Photonics North (PN) ◽

10.1109/pn.2017.8090588 ◽

2017 ◽

Author(s):

Tracy Robertson ◽

Serge Gauvin

Keyword(s):

Density Of States ◽

Vacuum Field ◽

Field Fluctuations

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Vacuum field fluctuations and spontaneous emission in a dielectric slab

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1992.0024 ◽

1992 ◽

Vol 436 (1897) ◽

pp. 373-389 ◽

Cited By ~ 67

Keyword(s):

Spontaneous Emission ◽

Dimensional Space ◽

Three Dimensional ◽

Field Operator ◽

Vacuum Field ◽

Emission Rates ◽

Dielectric Slab ◽

Spatial Modes ◽

Field Fluctuations ◽

Complete Set

The electromagnetic field is quantized on the basis of the complete set of spatial modes of a plane dielectric slab of arbitrary thickness and refractive index but infinite transverse dimensions, located in otherwise empty three-dimensional space. The vacuum field fluctuations and spontaneous emission rates are evaluated as functions of position both inside and outside the slab. The source-field operator is derived for emission by atoms inside the slab, in the direction perpendicular to its surfaces. Particular attention is given to the possibility of suppressing spontaneous emission by placing atoms in, or close to, a dielectric slab.

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Vacuum field fluctuations and spontaneous emission in the vicinity of a dielectric surface

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1991.0052 ◽

1991 ◽

Vol 433 (1888) ◽

pp. 337-352 ◽

Cited By ~ 94

Keyword(s):

Spontaneous Emission ◽

Field Operator ◽

Dielectric Surface ◽

The Other ◽

Vacuum Field ◽

Emission Rates ◽

Spatial Modes ◽

Field Fluctuations ◽

System Geometry ◽

Constant Refractive Index

The electromagnetic field is quantized on the basis of the classical spatial modes of a system geometry in which half of space is filled by a dielectric of constant refractive index and the other half of space is empty. The vacuum field fluctuations and spontaneous emission rates are evaluated as functions of position and polarization both inside and outside the dielectric. Particular attention is given to the variations of these quantities in the vicinity of the interface. The source-field operator is derived for emission by atoms inside and outside the dielectric, in the direction perpendicular to the interface.

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