Geometric aspects of phonon polarization transport

In the framework of the single-field slow-roll inflation, we derive the Hamiltonian of the linear primordial scalar and tensor perturbations in the form of time-dependent harmonic oscillator Hamiltonians. We find the invariant operators of the resulting Hamiltonians and use their eigenstates to calculate the adiabatic Berry phase for sub-horizon modes in terms of the Lewis-Riesenfeld phase. We conclude by discussing the discrepancy in the results of Pal et. al [Class. Quant. Grav. 30, 12 (2013)] for these Berry phases, which is resolved to yield agreement with our results.

show abstract

“…, where X, Y, Z are time dependent [32]. This has the same form as Hamiltonians (4) and (5). Thence, for (4) the invariant takes the form…”

Section: Berry Phase Of the Scalar And Tensor Modesmentioning

confidence: 99%

“…We use the invariant operator method [23,24] to determine the dynamical invariants of the harmonic oscillator Hamiltonians (4) and (5). The Berry phase can then be obtained as a Lewis-Riesenfeld phase [29], which is constructed from the eigenstates of the invariant operator.…”

Section: Berry Phase Of the Scalar And Tensor Modesmentioning

confidence: 99%

Berry phase of primordial scalar and tensor perturbations in single-field inflationary models

Balajany

Mehrafarin

2018

Physics Letters A

Self Cite

View full text Add to dashboard Cite

show abstract

“…Such a gauge potential is a well known feature of spin transport [6,14,16,21,22]. A is a pure gauge potential, i.e., the corresponding field strength (curvature), ∇ p × A + iA × A, is identically zero.…”

Section: Plasma Wave Equation and The Gauge Connectionmentioning

confidence: 99%

Berry effect in unmagnetized inhomogeneous cold plasmas

Torabi¹,

Mehrafarin²

2012

Jetp Lett.

View full text Add to dashboard Cite

The propagation of electromagnetic waves in an unmagnetized weakly inhomogeneous cold plasma is examined. We show that the inhomogeneity induces a gauge connection term in wave equation, which gives rise to Berry effects in the dynamics of polarized rays in the post geometric optics approximation. The polarization plane of a plane polarized ray rotates as a result of the geometric Berry phase, which is the Rytov rotation. Also, the Berry curvature causes the optical Hall effect, according to which, rays of left/right circular polarization deflect oppositely to produce a spin current directed across the direction of propagation.

show abstract

“…The equations of motion of the beam in the presence of momentum space Berry curvature have been derived repeatedly for various particle beams (photons [14][15][16][20][21][22][23], phonons [40][41][42] and electrons [24][25][26]43]). We havė…”

Section: Paraxial Beam Dynamics In the Dislocated Mediummentioning

confidence: 99%

Paraxial propagation in amorphous optical media with screw dislocation

Mashhadi¹,

Mehrafarin²

2010

J. Opt.

Self Cite

View full text Add to dashboard Cite

We study paraxial beam propagation parallel to the screw axis of a dislocated amorphous medium that is optically weakly inhomogeneous and isotropic. The effect of the screw dislocation on the beam's orbital angular momentum is shown to change the optical vortex strength, rendering vortex annihilation or generation possible. Furthermore, the dislocation is shown to induce a weak biaxial anisotropy in the medium due to the elasto-optic effect, which changes the beam's spin angular momentum as well as causing precession of the polarization. We derive the equations of motion of the beam and demonstrate the optical Hall effect in the dislocated medium. Its application with regard to determining the Burgers vector as well as the elasto-optic coefficients of the medium is explained.

show abstract

Geometric aspects of phonon polarization transport

Cited by 13 publications

References 29 publications

Berry phase of primordial scalar and tensor perturbations in single-field inflationary models

Berry phase of primordial scalar and tensor perturbations in single-field inflationary models

Berry effect in unmagnetized inhomogeneous cold plasmas

Paraxial propagation in amorphous optical media with screw dislocation

Contact Info

Product

Resources

About