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. 2015 Aug 28;5:13376. doi: 10.1038/srep13376

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Copyright © 2015, Macmillan Publishers Limited

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Wave packet evolution in a tight-binding lattice with two potential defects V₀ at sites n₀ and n₁ (upper inset) for (a) the Hermitian lattice (h = 0), and (b) in the presence of an imaginary gauge field (h = 0.2). Parameter values are and n₁ − n₀ = 20. Initial condition corresponds to the Gaussian wave packet . The figures show the evolution of the normalized amplitude probabilities a_n(t) (modulus of a_n(t)) in a pseudo color map; the two vertical dashed lines in the maps show the position in the lattice of the two defects. While in the Hermitian case the two potential defects cause multiple wave packet reflection back and forth and echoes of the transmitted wave packet, multiple reflections and echoes are suppressed when the imaginary magnetic field is applied.

Inline graphic — Wave packet evolution in a tight-binding lattice with two potential defects V₀ at sites n₀ and n₁ (upper inset) for (a) the Hermitian lattice (h = 0), and (b) in the presence of an imaginary gauge field (h = 0.2). Parameter values are and n₁ − n₀ = 20. Initial condition corresponds to the Gaussian wave packet . The figures show the evolution of the normalized amplitude probabilities a_n(t) (modulus of a_n(t)) in a pseudo color map; the two vertical dashed lines in the maps show the position in the lattice of the two defects. While in the Hermitian case the two potential defects cause multiple wave packet reflection back and forth and echoes of the transmitted wave packet, multiple reflections and echoes are suppressed when the imaginary magnetic field is applied.