Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bloch-Landau-Zener dynamics in single-particle Wannier-Zeeman systems   Stimulated by the experimental realization of spin-dependent tunneling via
gradient magnetic field [Phys. Rev. Lett. 111, 225301 (2013); Phys. Rev. Lett.
111, 185301 (2013)], we investigate dynamics of Bloch oscillations and
Landau-Zener tunneling of single spin-half particles in a periodic potential
under the influence of a spin-dependent constant force. In analogy to the
Wannier-Stark system, we call our system as the Wannier-Zeeman system. If there
is no coupling between the two spin states, the system can be described by two
crossing Wannier-Stark ladders with opposite tilts. The spatial crossing
between two Wannier-Stark ladders becomes a spatial anti-crossing if the two
spin states are coupled by external fields. For a wave-packet away from the
spatial anti-crossing, due to the spin-dependent constant force, it will
undergo spatial Landau-Zener transitions assisted by the intrinsic intra-band
Bloch oscillations, which we call the Bloch-Landau-Zener dynamics. If the
inter-spin coupling is sufficiently strong, the system undergoes adiabatic
Bloch-Landau-Zener dynamics, in which the spin dynamics follows the local
dressed states. Otherwise, for non-strong inter-spin couplings, the system
undergoes non-adiabatic Bloch-Landau-Zener dynamics.

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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph