TY  - JOUR
AU  - Angles-Castillo, A.
AU  - Perez, A.
AU  - Roldan, E.
PY  - 2024
DA  - 2024//
TI  - Bright and dark solitons in a photonic nonlinear quantum walk: lessons from the continuum
T2  - New J. Phys.
JO  - New Journal of Physics
SP  - 023004
EP  - 16pp
VL  - 26
IS  - 2
PB  - IOP Publishing Ltd
KW  - quantum walks
KW  - soliton
KW  - non-linear optics
AB  - We propose a nonlinear quantum walk model inspired in a photonic implementation in which the polarization state of the light field plays the role of the coin-qubit. In particular, we take profit of the nonlinear polarization rotation occurring in optical media with Kerr nonlinearity, which allows to implement a nonlinear coin operator, one that depends on the state of the coin-qubit. We consider the space-time continuum limit of the evolution equation, which takes the form of a nonlinear Dirac equation. The analysis of this continuum limit allows us to gain some insight into the existence of different solitonic structures, such as bright and dark solitons. We illustrate several properties of these solitons with numerical calculations, including the effect on them of an additional phase simulating an external electric field.
SN  - 1367-2630
UR  - https://arxiv.org/abs/2308.01014
UR  - https://doi.org/10.1088/1367-2630/ad1e24
DO  - 10.1088/1367-2630/ad1e24
LA  - English
N1  - WOS:001156767400001
ID  - Angles-Castillo_etal2024
ER  -