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Pulse walk-off in the process of sum frequency generation in a nonlinear $\chi^{(2)}$ crystal is shown to be responsible for pulse jittering which is reminiscent to the Zitterbewegung (trembling motion) of a relativistic freely moving Dirac…

Optics · Physics 2015-05-20 Stefano Longhi

We describe a new phenomenon of zitterbewegung of a free Dirac particle in cosmological spacetimes. Unlike the similar effect theorized by Schrodinger in 1930, the cosmological zitterbewegung is a real, physically attainable effect, which…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Parth Girdhar , Archil Kobakhidze

In the most general geometric background, we study Dirac spinor fields with particular emphasis given to the explicit form of their gauge momentum and the way in which this can be inverted so to give the expression of the corresponding…

General Physics · Physics 2020-04-28 Luca Fabbri

Macroscopic wave packets of spin-polarized exciton-polaritons in two-dimensional microcavities experience the zitterbewegung, the effect manifested by the appearance of the oscillatory motion of polaritons in the direction normal to the…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 E. S. Sedov , Y. G. Rubo , A. V. Kavokin

We propose an optical lattice scheme which would permit the experimental observation of Zitterbewegung (ZB) with ultracold, neutral atoms. A four-level "tripod" variant of the usual setup for stimulated Raman adiabatic passage (STIRAP) has…

Mesoscale and Nanoscale Physics · Physics 2008-04-17 J. Y. Vaishnav , Charles W. Clark

We describe a possibility of creating non-stationary electron wave packets in zigzag carbon nanotubes (CNT) illuminated by short laser pulses. After disappearance of the pulse the packet experiences the trembling motion (Zitterbewegung,…

Mesoscale and Nanoscale Physics · Physics 2015-02-25 Tomasz M Rusin , Wlodek Zawadzki

Zitterbewegung of neutral relativistic particles propagating along a constant magnetic and/or electric field is studied. It is shown that spin Zitterbewegung, when superimposed on the Larmor precession frequency, leads to a beating pattern.…

Quantum Physics · Physics 2013-05-01 Tihomir G. Tenev , Nikolay V. Vitanov

Zitterbewegung of a Dirac electron is an oscillation between positive and negative energy states, and is thus distinct from the analogous phenomena exhibited by spin half charged particles in electric and magnetic fields. Quantum field…

Quantum Physics · Physics 2020-06-26 Basil S. Davis

We demonstrate how the zitterbewegung charge oscillations can be detected through a charge conductance measurement in a three-terminal junction. By tuning the spin-orbit interaction strength or an external magnetic field the zitterbewegung…

Mesoscale and Nanoscale Physics · Physics 2009-09-08 P. Brusheim , H. Q. Xu

The momentum of light in dielectric media has been a century-long controversy that continues to attract significant interest. In a linear dielectric medium with refractive index n, the momentum is predicted to be smaller by a factor of n…

Optics · Physics 2025-09-23 Adam B. Cahaya

The Klein-Gordon equation is used to calculate the Zitterbewegung (ZB, trembling motion) of spin-zero particles in absence of fields and in the presence of an external magnetic field. Both Hamiltonian and wave formalisms are employed to…

Quantum Physics · Physics 2012-09-11 Tomasz M. Rusin , Wlodek Zawadzki

Dirac's Relativistic Wave Equation implies a measured electron velocity of $\pm c$ in any direction, in contradiction to Special Relativity and observation. It is shown in this article that this anomalous electron velocity reveals an…

Quantum Physics · Physics 2020-06-30 Basil S. Davis

We develop a dynamic description of an effective Dirac theory in metamaterials, in which the wavefunction is modeled by the corresponding electric and magnetic field in the metamaterial. This electro-magnetic field can be probed in the…

Quantum Physics · Physics 2015-11-10 Sven Ahrens , Jun Jiang , Yong Sun , Shi-Yao Zhu

Starting from a gauge invariant Dirac Hamiltonian with noncommutativity of space sector in the presence of an external uniform magnetic field, the resulting Dirac equation has been solved for electrons and its corresponding zitterbewegung…

High Energy Physics - Theory · Physics 2021-08-24 Mehran Zahiri Abyaneh , Mehrdad Farhoudi

Spacetime Algebra (STA) provides unified, matrix-free spinor methods for rotational dynamics in classical theory as well as quantum mechanics. That makes it an ideal tool for studying particle models of zitterbewegung and using them to…

Quantum Physics · Physics 2008-02-21 David Hestenes

We present and experimentally study the effects of the photonic spin-orbit coupling on real space propagetion of polariton wavepackets in planar semiconductor microcavities and polaritonic analogs of graphene. In particular, we demonstrate…

In the present contribution, by studying a fractional version of Dirac's equation for the electron, we show that the phenomenon of Zitterbewegung in a coarse-grained medium exhibits a transient oscillatory behavior, rather than a purely…

High Energy Physics - Theory · Physics 2016-02-22 José Weberszpil , José Abdalla Helayël-Neto

Using Dirac equation together with the Wigner distribution function,the trembling motion,known as Zitterbewegung effect,of moving electrons in quasi-one-dimensional relativistic quantum plasma is theoretically investigated.The relativistic…

Plasma Physics · Physics 2021-09-29 Safura Nematizadeh Juneghani , Babak Shokri

The Zitterbewegung phenomenon in multiband electronic systems is known to be subtly related to the charge conductivity, Berry curvature and the Chern number. Here we show that some spin-dependent properties as the optical spin conductivity,…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 F. Mireles , E. Ortiz

We establish an exact analytical relation between Zitterbewegung dynamics and the band geometry in two-dimensional Dirac systems. By identifying a time-independent antisymmetric observable-the \textit{areal rate of Zitterbewegung}-we show…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Sonja Predin