High-order-harmonic generation in dimensionally reduced systems

Abstract

The time-dependent wave function of a nanoring driven by a laser field is obtained by exploiting the symmetries\ud inherent to the system and used for studying the properties of the electromagnetic radiation emitted by the\ud nanoring as a function of the polarization state of the laser. The diffused radiation has the characteristics of\ud high-order-harmonic generation. For a noncircularly polarized laser field an extension of the expected cutoff\ud position is evident, indicating that nanorings are efficient sources of radiation. The polarization state of the\ud emitted harmonics can be opportunely controlled by varying the parameters of the pump field. The profile of\ud the absorbed angular moment shows that a magnetic moment can be induced depending on the polarization of\ud the driven field

Laser Assisted Dirac Electron in a Magnetized Annulus

“…It has been proven that electrons bound on a one-dimensional (1D) ring and acted upon by a strong laser field of frequency ω L generate currents [22,30,43] and emit electromagnetic radiation with a broad spectrum of harmonics of ω L [15,21,25,27,33,44]. Thus, it is proper to investigate the behaviour of a Dirac electron on an annulus shown by a laser field.…”

“…The quantum modes pertaining to the small dimension(s) can only be populated by exciting them with a relative large energy and can often be neglected. For instance, fullerene, a spherical arrangements of 60 carbon atoms with radius 6.7a 0 (a 0 is the Bohr radius), can be considered as a two-dimensional (2D) object [12][13][14][15] or even as a zero dimensional particle [4]. From graphene, it is possible to fabricate very long and narrow 2D strips and, by rolling, 2D tubes and cones.…”

Quantum motion of a point particle in the presence of the Aharonov–Bohm potential in curved space

“…Thus, through this procedure, the particle is subjected to the so called geometric potential [10]. Recently, the da Costa proposition appeared in various physical contexts as, for instance, in the derivation of the Pauli equation for a charged spin particle confined to move on a spatially curved surface in the presence of an electromagnetic field [11], in the study of curvature effects in thin magnetic shells [12], in effects of non-zero curvature in a waveguide to investigate the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits [13], in the quantum mechanics of a single particle constrained to move along an arbitrary smooth reference curve by a confinement that is allowed to vary along the waveguide [14], to derive the exact Hamiltonians for Rashba and cubic Dresselhaus spin-orbit couplings on a curved surface with an arbitrary shape [15], in the study of highorder-harmonic generation in dimensionally reduced systems [16], to explore the effects arising due to the coupling of the center of mass and relative motion of two charged particles confined on an inhomogeneous helix with a locally modified radius [17], to study the dynamics of shape-preserving accelerating electromagnetic wave packets in curved space [18], in the derivation of the Schrö dinger equation for a spinless charged particle constrained to move on a curved surface in the presence of an electric and magnetic field [19], etc.…”

On the dynamics of confined particles: a laser test

“…is readily obtained; for further details and generalizations the reader is referred to [15,18,20]. M labels the highest angular momentum eigenstate that has a non vanishing probability to be populated during the laser operation.…”

“…Very recently, laser driven carbon allotropes have been shown to be good emitters of harmonics of the fundamental laser frequency [9][10][11][12][13][14][15][16][17][18][19][20][21]. Moreover rings appear to provide the base for designing and implementing fast operating logic circuits [22][23][24].…”