44 citations
- Czech Academy of Sciences, Institute of MathematicsCZ2 papers
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Showing 2020Show all
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cond-mat.quant-gas2020★ 15 cited
Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
Xiaobing Luo, Zhao-Yun Zeng, Yu Guo +5
We theoretically explore the tunneling dynamics for the tight-binding (TB) model of a single spin-orbit-coupled atom trapped in an optical lattice subjected to lattice shaking and…
math.AP2020
Patterns of Non-Radial Solutions to Coupled Semilinear Elliptic Systems on a Disc
Z. Balanov, E. Hooton, W. Krawcewicz +1
In this paper, we prove the existence of non-radial solutions to the problem , on the unit disc with $u(z)\…
math.DS2020
Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation
E. Hooton, Z. Balanov, D. Rachinskii
Connected branches of periodic orbits originating at a Hopf bifurcation point of a differential system are considered. A computable estimate for the range of amplitudes of periodic…