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Russian Journal of Mathematical Physics

, Volume 24, Issue 4, pp 454–464 | Cite as

Bi-states and 2-level systems in rectangular Penning traps

  • M. KarasevEmail author
  • E. Novikova
  • E. Vybornyi
Article
  • 25 Downloads

Abstract

We introduce a notion of semiclassical bi-states. They arise from pairs of eigenstates corresponding to tunnel-split eigenlevels and generate 2-level subsystems in a given quantum system. As an example, we consider the planar Penning trap with rectangular electrodes assuming the 3: (−1) resonance regime of the charge dynamics. We demonstrate that, under a small deviation of the rectangular shape of electrodes from the square shape (symmetry breaking), there appear instanton pseudoparticles, semiclassical bi-states, and 2-level subsystems in such a quantum trap.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Laboratory for Mathematical Methods in Natural Sciences at National Research University “Higher School of Economics”MoscowRussia

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