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Author |
Angles-Castillo, A.; Perez, A.; Roldan, E. |
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Title |
Bright and dark solitons in a photonic nonlinear quantum walk: lessons from the continuum |
Type |
Journal Article |
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Year |
2024 |
Publication |
New Journal of Physics |
Abbreviated Journal |
New J. Phys. |
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Volume |
26 |
Issue |
2 |
Pages  |
023004 - 16pp |
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Keywords |
quantum walks; soliton; non-linear optics |
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Abstract |
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. |
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Address |
[Angles-Castillo, Andreu; Perez, Armando] Univ Valencia, Dept Fis Teor & IFIC, CSIC, Burjassot 46100, Valencia, Spain, Email: andreu.angles-castillo@uv.es |
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Publisher |
IOP Publishing Ltd |
Place of Publication |
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Language |
English |
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Original Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1367-2630 |
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Notes |
WOS:001156767400001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
5929 |
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Author |
Hinarejos, M.; Bañuls, M.C.; Perez, A. |
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Title |
Wigner formalism for a particle on an infinite lattice: dynamics and spin |
Type |
Journal Article |
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Year |
2015 |
Publication |
New Journal of Physics |
Abbreviated Journal |
New J. Phys. |
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Volume |
17 |
Issue |
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Pages |
013037 - 16pp |
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Keywords |
Wigner functions; dynamics on a lattice; spin-dependent forces |
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Abstract |
The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Banuls MC and Perez A 2012 New J. Phys. 14 103009) is extended here to include an internal degree of freedom as spin. This extension is made by introducing a Wigner matrix. The formalism is developed to account for dynamical processes, with or without decoherence. We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited. Discrete processes are also discussed. Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included. |
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Address |
[Hinarejos, M.; Perez, A.] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Burjassot, Spain, Email: banulsm@mpq.mpg.de |
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Corporate Author |
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Thesis |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1367-2630 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000348759800007 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2101 |
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