QED in arbitrary linear media: Amplifying media

Raabe, Christian; Welsch, D.‐G.

doi:10.1140/epjst/e2008-00740-9

Cited by 17 publications

(42 citation statements)

References 12 publications

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“…As we will see in Sec. VI, this modification leads to field operators that satisfy Maxwell's equations and whose positive-frequency components are associated with both annihilation and creation operators in the case of amplifying media, in accordance with the previous works [36][37][38] . We define the polarization and magnetization fields of the medium as…”

Section: Field Quantizationsupporting

confidence: 86%

“…So here we find −ε 0 E as the canonical conjugate to the vector potential, as in Refs. [36][37][38][48][49][50]. Apart from the subtlety with the sign functions in Eqs.…”

Section: Canonical Quantization Of Electromagnetic Field In Amplimentioning

confidence: 99%

“…(14). The equations (43) and (45) and the commutation relations are the same as obtained from the phenomenological method [34][35][36][37][38]. Therefore, with our Lagrangian (1) and the canonical quantization performed here, we formulated a microscopic basis for the phenomenological quantization of the electromagnetic field in amplifying magnetodielectric media.…”

Section: Canonical Quantization Of Electromagnetic Field In Amplimentioning

confidence: 99%

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Casimir forces in multilayer magnetodielectrics with both gain and loss

et al. 2011

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A path-integral approach to the quantization of the electromagnetic field in a linearly amplifying magnetodielectric medium is presented. Two continua of inverted harmonic oscillators are used to describe the polarizability and magnetizability of the amplifying medium. The causal susceptibilities of the amplifying medium, with negative imaginary parts in finite frequency intervals, are identified and their relation to microscopic coupling functions are determined. By carefully relating the twopoint functions of the field theory to the optical Green functions, we calculate the Casimir energy and Casimir forces for a multilayer magnetodielectric medium with both gain and loss. We point out the essential differences with a purely passive layered medium. For a single layer, we find different bounds on the Casimir force for fully amplifying and for lossy media. The force is attractive in both cases, also if the medium exhibits negative refraction. From our Lagrangian we also derive by canonical quantization the postulates of the phenomenological theory of amplifying magnetodielectrics.

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Section: Field Quantizationsupporting

confidence: 86%

“…So here we find −ε 0 E as the canonical conjugate to the vector potential, as in Refs. [36][37][38][48][49][50]. Apart from the subtlety with the sign functions in Eqs.…”

Section: Canonical Quantization Of Electromagnetic Field In Amplimentioning

confidence: 99%

Section: Canonical Quantization Of Electromagnetic Field In Amplimentioning

confidence: 99%

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Casimir forces in multilayer magnetodielectrics with both gain and loss

et al. 2011

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“…Within the frame of macroscopic quantum electrodynamics (QED), methods of describing the quantized electromagnetic field in linearly responding (dispersing and absorbing/amplifying) media have been developed, with special emphasis on quantum-noise effects [12,13,14,15,16,17]. Based on given constitutive relations of the material system, field correlation functions of arbitrary order can be calculated in this way.…”

mentioning

confidence: 99%

Propagation of nonclassical optical radiation through a semiconductor slab

et al. 2008

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Based on a microscopic derivation of the emission spectra of a bulk semiconductor we arrive at a clear physical interpretation of the noise current operators in macroscopic quantum electrodynamics. This opens the possibility to study medium effects on nonclassical radiation propagating through an absorbing or amplifying semiconductor. As an example, the propagation of an incident squeezed vacuum is analyzed.PACS numbers: 42.50. Nn, 42.50.Ct The progress of experimental techniques has rendered it possible to almost completely measure the quantum statistics of radiation-matter systems, so that correlation functions up to, in principle, arbitrarily high orders can be detected (for a review of the various methods, see, e. g., Ref.[1]). Within the framework of quantum optics, the theoretical study of the interaction of light with complex material systems is typically based on simplifying model systems, effective-Hamiltonian schemes or related semi-phenomenological concepts rather than rigorous microscopic calculations [2].On the other hand, in many-particle quantum theory, including semiconductor theory, much effort has been spent on the development of methods for microscopically describing complex material systems. This includes the description of coherent optical interactions by semiconductor Bloch equations and semiconductor luminescence equations as well as the development of nonequilibrium Green's function methods [3,4]. In principle, these methods lead to infinite hierarchies of correlations, which are usually treated by properly developed methods of truncations and/or decorrelations.It is well known that semiconductors can be used to generate nonclassical radiation [5]. In particular, the development of nano-structured systems has opened new possibilities of the generation and application of nonclassical radiation in integrated systems. For example, the correlated emission of single photons can be demonstrated by using quantum dots [6] and bound excitons in semiconductors [7]. Experiments with quantum wells [8] and quantum dots [9,10,11] also show the potential of semiconductors for the generation of entangled photons, which are of interest in quantum information processing.In order to properly describe the generation and/or propagation of nonclassical radiation through complex material systems such as semiconductor slabs, one has simultaneously to deal with both higher-order radiationfield correlation functions and many-particle quantum statistics of the material system. Within the frame of macroscopic quantum electrodynamics (QED), methods of describing the quantized electromagnetic field in linearly responding (dispersing and absorbing/amplifying) media have been developed, with special emphasis on quantum-noise effects [12,13,14,15,16,17]. Based on given constitutive relations of the material system, field correlation functions of arbitrary order can be calculated in this way. On the other hand, methods of many-particle theory can be used to treat the radiation-matter interaction within the frame of mic...

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“…In Eqs. (27) and (28) indices are lowered and raised by the effective metric and its inverse. Notice that,…”

Section: A Qed-inspired Nonminimal Couplingsmentioning

confidence: 99%

Analogues of gravity-induced instabilities in anisotropic metamaterials

Ribeiro

Vanzella

2020

Phys. Rev. Research

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In the context of field theory in curved spacetimes, it is known that suitable background spacetime geometries can trigger instabilities of fields, leading to exponential growth of their (quantum and classical) fluctuations -a phenomenon called vacuum awakening in the quantum context, which in some classical scenarios seeds spontaneous scalarization/vectorization. Despite its conceptual interest, an actual observation in nature of this effect is uncertain since it depends on the existence of fields with appropriate masses and couplings in strong-gravity regimes. Here, we propose analogues for this gravity-induced instability based on nonlinear optics of metamaterials which could, in principle, be observed in laboratory. * Electronic address: caiocesarribeiro@ifsc.usp.br † Electronic address: vanzella@ifsc.usp.br

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QED in arbitrary linear media: Amplifying media

Cited by 17 publications

References 12 publications

Casimir forces in multilayer magnetodielectrics with both gain and loss

Casimir forces in multilayer magnetodielectrics with both gain and loss

Propagation of nonclassical optical radiation through a semiconductor slab

Analogues of gravity-induced instabilities in anisotropic metamaterials

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