Dirac particles in a rotating magnetic field

Lin, Qiong-Gui

doi:10.1088/0305-4470/34/9/307

Cited by 14 publications

(12 citation statements)

References 7 publications

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“…Accordingly, for our problem we can find approximate solutions to the dynamics by modifying slightly the analytical strategy presented in 18 . Then, one finds that the excitation number operator N a , defined as…”

Section: Modelmentioning

confidence: 99%

Laser-induced modulation of the Landau level structure in single-layer graphene

et al. 2015

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International audienceWe present perturbative analytical results of the Landau level quasienergy spectrum, autocorrelation function, and out-of-plane pseudospin polarization for a single graphene sheet subject to intense circularly polarized Terahertz radiation. For the quasienergy spectrum, we find a striking nontrivial level-dependent dynamically induced gap structure. This photoinduced modulation of the energy band structure gives rise to shifts of the revival times in the autocorrelation function and it also leads to modulation of the oscillations in the dynamical evolution of the out-of-plane pseudospin polarization, which measures the angular momentum transfer between light and graphene electrons. For a coherent state, chosen as an initial pseudospin configuration, the dynamics induces additional quantum revivals of the wave function that manifest as shifts of the maxima and minima of the autocorrelation function, with additional partial revivals and beating patterns. These additional maxima and beating patterns stem from the effective dynamical coupling of the static eigenstates. We discuss the possible experimental detection schemes of our theoretical results and their relevance in new practical implementation of radiation fields in graphene physics

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Section: Modelmentioning

confidence: 99%

Laser-induced modulation of the Landau level structure in single-layer graphene

et al. 2015

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“…Applying U(t) to both sides of this equation, using Eq. (21), and noting that the operators on the right-hand side of that equation is independent of m, we immediately realize that Eq. (20) is in fact valid for an arbitrary initial state.…”

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confidence: 91%

Time evolution, cyclic solutions and geometric phases for general spin in an arbitrarily varying magnetic field

Lin¹

2003

J. Phys. A: Math. Gen.

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A neutral particle with general spin and magnetic moment moving in an arbitrarily varying magnetic field is studied. The time evolution operator for the Schrödinger equation can be obtained if one can find a unit vector that satisfies the equation obeyed by the mean of the spin operator. There exist at least 2s + 1 cyclic solutions in any time interval. Some particular time interval may exist in which all solutions are cyclic. The nonadiabatic geometric phase for cyclic solutions generally contains extra terms in addition to the familiar one that is proportional to the solid angle subtended by the closed trace of the spin vector.

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“…The nonadiabatic geometric phase turns out to be a linear combination of the two solid angles subtended by the traces of the orbit and spin angular momenta. We also studied the case without a central potential [17] and generalized it to the relativistic case [18].…”

Section: Introductionmentioning

confidence: 99%

Geometric phases for neutral and charged particles in a time-dependent magnetic field

Lin

2002

J. Phys. A: Math. Gen.

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It is well known that any cyclic solution of a spin 1/2 neutral particle moving in an arbitrary magnetic field has a nonadiabatic geometric phase proportional to the solid angle subtended by the trace of the spin. For neutral particles with higher spin, this is true for cyclic solutions with special initial conditions. For more general cyclic solutions, however, this does not hold. As an example, we consider the most general solutions of such particles moving in a rotating magnetic field. If the parameters of the system are appropriately chosen, all solutions are cyclic. The nonadiabatic geometric phase and the solid angle are both calculated explicitly. It turns out that the nonadiabatic geometric phase contains an extra term in addition to the one proportional to the solid angle. The extra term vanishes automatically for spin 1/2. For higher spin, however, it depends on the initial condition. We also consider the valence electron of an alkaline atom. For cyclic solutions with special initial conditions in an arbitrary strong magnetic field, we prove that the nonadiabatic geometric phase is a linear combination of the two solid angles subtended by the traces of the orbit and spin angular momenta. For more general cyclic solutions in a strong rotating magnetic field, the nonadiabatic geometric phase also contains extra terms in addition to the linear combination.

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Dirac particles in a rotating magnetic field

Cited by 14 publications

References 7 publications

Laser-induced modulation of the Landau level structure in single-layer graphene

Laser-induced modulation of the Landau level structure in single-layer graphene

Time evolution, cyclic solutions and geometric phases for general spin in an arbitrarily varying magnetic field

Geometric phases for neutral and charged particles in a time-dependent magnetic field

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