2020

Jan 6 - Jan 12 Zehan Li, Jan 13 - Jan 19 Haiping Hu, Jan 22 - Jan 27 Sayan Choudhury

Jan 6

arXiv:2001.00795 (cross-list from quant-ph) [pdf, other]

A subradiant optical mirror formed by a single structured atomic layer

Jun Rui, David Wei, Antonio Rubio-Abadal, Simon Hollerith, Johannes Zeiher, Dan M. Stamper-Kurn, Christian Gross, Immanuel Bloch

Comments: 8 pages, 5 figures + 12 pages Supplementary Infomation

Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Atomic Physics (physics.atom-ph); Optics (physics.optics)

Jan 7

arXiv:2001.01487 (cross-list from nlin.PS) [pdf, other]

Singular solitons

Hidetsugu Sakaguchi, Boris A. Malomed

Comments: to be published in Physical Review E

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Gases (cond-mat.quant-gas); Optics (physics.optics)

We demonstrate that the commonly known concept, which treats solitons as nonsingular solu- tions produced by the interplay of nonlinear self-attraction and linear dispersion, may be extended to include modes with a relatively weak singularity at the central point, which keeps their inte- gral norm convergent. Such states are generated by self-repulsion, which should be strong enough, namely, represented by septimal, quintic, and usual cubic terms in the framework of the one-, two-, and three-dimensional (1D, 2D, and 3D) nonlinear Schro ̈dinger equations (NLSEs), respectively. Although such solutions seem counterintuitive, we demonstrate that they admit a straightforward interpretation as a result of screening of an additionally introduced attractive delta-functional po- tential by the defocusing nonlinearity. The strength (“bare charge”) of the attractive potential is infinite in 1D, finite in 2D, and vanishingly small in 3D. Analytical asymptotics of the singular solitons at small and large distances are found, entire shapes of the solitons being produced in a numerical form. Complete stability of the singular modes is accurately predicted by the anti- Vakhitov-Kolokolov criterion (under the assumption that it applies to the model), as verified by means of numerical methods. In 2D, the NLSE with a quintic self-focusing term admits singular- soliton solutions with intrinsic vorticity too, but they are fully unstable. We also mention that dissipative singular solitons can be produced by the model with a complex coefficient in front of the nonlinear term.