Bloch Oscillation and Landau-Zener Tunneling of a Periodically Kicked Dirac Particle

• URL: http://arxiv.org/abs/2411.10953v1
• Date: Sun, 17 Nov 2024 03:42:18 GMT
• Title: Bloch Oscillation and Landau-Zener Tunneling of a Periodically Kicked Dirac Particle
• Authors: Bin Sun, Shaowen Lan, Jie Liu,
• Abstract summary: We investigate the dynamics of a relativistic spin-1/2 particle governed by a one-dimensional time-periodic kicking Dirac equation. We observe distinct oscillatory behavior in the momentum space and quantum tunneling in the vicinity of zero momentum.
• Score: 7.4345050634857435
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• Abstract: We investigate the dynamics of a relativistic spin-1/2 particle governed by a one-dimensional time-periodic kicking Dirac equation. We observe distinct oscillatory behavior in the momentum space and quantum tunneling in the vicinity of zero momentum, which are found to be equivalent to the celebrated Bloch oscillations and Landau-Zener tunneling in solid state periodic energy bands. Using the Floquet formalism, we derive an effective Hamiltonian that can accurately predict both the oscillation period and amplitude. The tunneling probability has also been determined analytically. Our analysis extends to the influence of various parameters on the dynamical behavior, might shedding light on how relativistic effects and spin degrees of freedom impact transport properties and localization phenomena in the quantum systems.

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