Berry effect in acoustical polarization transport in phononic crystals

Torabi, Reza; Mehrafarin, Mohammad

doi:10.1134/s0021364008210091

Cited by 12 publications

(17 citation statements)

References 28 publications

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“…The formalism gives rise to a Berry phase describing the rotation of the polarization vector (the Rytov law), and a Berry curvature in the semiclassical equations of motion deflecting the phonons depending on their polarization (the polarization dependent Hall effect). These, of course, reproduce the results of [19] (and [20], as far as non-periodic inhomogeneous media are concerned). We analyze the effect of classical noise on the Rytov law and derive the distribution of the Rytov rotation angle in the presence of thermal noise.…”

Section: Introductionsupporting

confidence: 85%

Geometric aspects of phonon polarization transport

Mehrafarin

Torabi

2009

Physics Letters A

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We study the polarization transport of transverse phonons by adopting a new approach based on the quantum mechanics of spin-orbit interactions. This approach has the advantage of being apt for incorporating fluctuations in the system. The formalism gives rise to Berry effect terms manifested as the Rytov polarization rotation law and the polarization-dependent Hall effect. We derive the distribution of the Rytov rotation angle in the presence of thermal noise and show that the rotation angle is robust against fluctuations

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Section: Introductionsupporting

confidence: 85%

Geometric aspects of phonon polarization transport

Mehrafarin

Torabi

2009

Physics Letters A

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“…The evolution of the wave packet can effectively be described by three so-called semi-classical variables: the semi-classical position r(t), momentum k(t), and composition (generalized polarization) η(t) of the wave packet in the two-fold degenerate subspace [30,31]. The evolution of those variables is described by semi-classical equations of motion [16,30,31] (see also SI), originating in electronic solid-state physics, but commonly applied to other waves such as light [32,33] or acoustic waves [34,35].…”

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confidence: 99%

Dualities and non-Abelian mechanics

Fruchart

Zhou

Vitelli

2020

Nature

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Dualities are mathematical mappings that reveal unexpected links between apparently unrelated systems or quantities in virtually every branch of physics [1][2][3][4][5][6][7][8]. Systems that are mapped onto themselves by a duality transformation are called self-dual and they often exhibit remarkable properties, as exemplified by an Ising magnet at the critical point. In this Letter, we unveil the role of dualities in mechanics by considering a family of so-called twisted Kagome lattices [9][10][11][12][13][14]. These are reconfigurable structures that can change shape thanks to a collapse mechanism [9] easily illustrated using LEGO. Surprisingly, pairs of distinct configurations along the mechanism exhibit the same spectrum of vibrational modes. We show that this puzzling property arises from the existence of a duality transformation between pairs of configurations on either side of a mechanical critical point. This critical point corresponds to a self-dual structure whose vibrational spectrum is two-fold degenerate over the entire Brillouin zone. The two-fold degeneracy originates from a general version of Kramers theorem that applies to classical waves in addition to quantum systems with fermionic time-reversal invariance [15]. We show that the vibrational modes of the self-dual mechanical systems exhibit non-Abelian geometric phases [15] that affect the semi-classical propagation of wave packets [16]. Our results apply to linear systems beyond mechanics and illustrate how dualities can be harnessed to design metamaterials with anomalous symmetries and non-commuting responses. * fruchart@uchicago.edu

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“…Because of the dependence on polarization of optical and transverse acoustical wave propagation in inhomogeneous media, there occurs similar polarization rotation (the Rytov rotation), which is established to be a manifestation of the Berry phase of the quanta (photons/phonons) of the quantized wave fields [12][13][14]. In this work, we show that the cosmological birefringence likewise arises from an adiabatic noncyclic geometric phase that appears in the quntum state of the photons because of their interaction with the slowly varying pseudo-scalar field.…”

Section: Introductionmentioning

confidence: 99%

Cosmological birefringence and the geometric phase of photons

Hoseini

Mehrafarin

2019

Physics Letters B

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Regarding axion electrodynamics in the background flat FRW universe, we show that cosmological birefringence arises from an adiabatic noncyclic geometric phase that appears in the quantum state of photons because of their interaction with the axion field. We also show that the axion electrodynamics is equivalent to standard electrodynamics in time-dependent bi-isotropic magnetoelectric Tellegen media, which serves as an analogue system that can simulate cosmological birefringence.

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Berry effect in acoustical polarization transport in phononic crystals

Cited by 12 publications

References 28 publications

Geometric aspects of phonon polarization transport

Geometric aspects of phonon polarization transport

Dualities and non-Abelian mechanics

Cosmological birefringence and the geometric phase of photons

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