Optical chirality in gyrotropic media: symmetry approach

Proskurin, Igor; Овчинников, А. С.; Nosov, P. A.; Kishine, J.

doi:10.1088/1367-2630/aa6acd

Cited by 24 publications

(16 citation statements)

References 55 publications

(175 reference statements)

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“…The cross-correlation effects was phenomenologically discussed in terms of the optical chirality in Ref. [25]. Until now, however, the optical chirality has not been discussed based on a microscopic ground.…”

Section: Phenomenological Studymentioning

confidence: 99%

Effective Hamiltonian Approach to Optical Activity in Weyl Spin–Orbit System

Kawaguchi

Tatara

2018

J. Phys. Soc. Jpn.

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Chirality or handedness in condensed matter induces anomalous optical responses such as natural optical activity, rotation of the plane of light polarization, as a result of breaking of spatial-inversion symmetry. In this study, optical properties of a Weyl spin-orbit system with quadratic dispersion, a typical chiral system invariant under time-reversal, are investigated theoretically by deriving an effective Hamiltonian based on an imaginary-time path-integral formalism. We show that the effective Hamiltonian can be indeed written in terms of an optical chirality order parameter suggested by Lipkin. The natural optical activity is discussed based on the Hamiltonian. *

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Section: Phenomenological Studymentioning

confidence: 99%

Effective Hamiltonian Approach to Optical Activity in Weyl Spin–Orbit System

Kawaguchi

Tatara

2018

J. Phys. Soc. Jpn.

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“…As expected, this is equal to the cross product of the position vector with the linear momentum (26). Following the method of the separation of the angular momentum density into spin and orbital components, 38 we re-write (32)…”

Section: Angular Momentum In a Chiral Mediummentioning

confidence: 92%

“…In this section, we use the known form of the energy density in chiral media 25,26 to postulate the form of the Lagrangian density, and then go on test this quantity by various means. The energy density in a chiral medium can be written in the exact form 25,26…”

Section: The Energy Density and Lagrangian Density In Chiral Mediamentioning

confidence: 99%

Continuous symmetries and conservation laws in chiral media

Crimin

Mackinnon

Götte

et al. 2020

Complex Light and Optical Forces XIV

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Locally conserved quantities of the electromagnetic field in lossless chiral media are derived from Noether's theorem, including helicity, chirality, momentum, and angular momentum, as well as the separate spin and orbital components of this last quantity. We discuss sources and sinks of each in the presence of current densities within the material, and in some cases, as also generated by inhomogeneity of the medium. A previously obtained result connecting sources of helicity and energy within chiral materials is explored, revealing that association between the two quantities is not restricted to chiral media alone. Rather, it is analogous to the connection between the momentum, and the spin and orbital components of the total angular momentum. The analysis reveals a new quantity, appearing as the "orbital" counterpart of the helicity density in classical electromagnetism.

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“…The approach to be taken allows provision for the full symmetry of the free electromagnetic field to engage with the full symmetry of the molecular system. In this respect, it substantially differs in its approach from complementary forms of analysis considering direct reductions of electromagnetic field symmetry through propagation within gyrotropic media, for example [56].…”

Section: Symmetry Principles For Photon-molecule Interactionsmentioning

confidence: 99%

Symmetries, Conserved Properties, Tensor Representations, and Irreducible Forms in Molecular Quantum Electrodynamics

Andrews

2018

Symmetry

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In the wide realm of applications of quantum electrodynamics, a non-covariant formulation of theory is particularly well suited to describing the interactions of light with molecular matter. The robust framework upon which this formulation is built, fully accounting for the intrinsically quantum nature of both light and the molecular states, enables powerful symmetry principles to be applied. With their origins in the fundamental transformation properties of the electromagnetic field, the application of these principles can readily resolve issues concerning the validity of mechanisms, as well as facilitate the identification of conditions for widely ranging forms of linear and nonlinear optics. Considerations of temporal, structural, and tensorial symmetry offer significant additional advantages in correctly registering chiral forms of interaction. More generally, the implementation of symmetry principles can considerably simplify analysis by reducing the number of independent quantities necessary to relate to experimental results to a minimum. In this account, a variety of such principles are drawn out with reference to applications, including recent advances. Connections are established with parity, duality, angular momentum, continuity equations, conservation laws, chirality, and spectroscopic selection rules. Particular attention is paid to the optical interactions of molecules as they are commonly studied, in fluids and randomly organised media.

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Optical chirality in gyrotropic media: symmetry approach

Cited by 24 publications

References 55 publications

Effective Hamiltonian Approach to Optical Activity in Weyl Spin–Orbit System

Effective Hamiltonian Approach to Optical Activity in Weyl Spin–Orbit System

Continuous symmetries and conservation laws in chiral media

Symmetries, Conserved Properties, Tensor Representations, and Irreducible Forms in Molecular Quantum Electrodynamics

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