@article{22947,
  author       = {{Oreshnikov, I. and Driben, R. and Yulin, A. V.}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  title        = {{{Interaction of high-order solitons with external dispersive waves}}},
  doi          = {{10.1364/ol.40.005554}},
  year         = {{2015}},
}

@article{43197,
  abstract     = {{The effect of mutual interaction between second-order soliton and dispersive waves (DWs) is investigated. It is predicted analytically and confirmed numerically that DWs (both transmitted and reflected components) become polychromatic after interaction with the soliton. Collision with DWs of considerable intensity can lead to acceleration/deceleration and central frequency shift of the soliton, while still preserving the soliton’s oscillating structure. Two second-order solitons with resonant DWs trapped between them can form an effective solitonic cavity with “flat” or “concave mirrors,” depending on the intensity of the input.}},
  author       = {{Meier, Torsten and Oreshnikov, I. and Driben, R. and Yulin, A.V.}},
  journal      = {{Optics Letters}},
  number       = {{23}},
  pages        = {{5554--5557}},
  title        = {{{Interaction of high-order solitons with external dispersive waves}}},
  doi          = {{10.1364/OL.40.005554}},
  volume       = {{40}},
  year         = {{2015}},
}

@article{22946,
  abstract     = {{The Kane–Mele model was previously used to describe effective spin–orbit couplings (SOCs) in graphene. Here we extend this model and also incorporate curvature effects to analyze the combined influence of SOC and curvature on the band structure of carbon nanotubes (CNTs). The extended model then reproduces the chirality-dependent asymmetric electron-hole splitting for semiconducting CNTs and in the band structure for metallic CNTs shows an opening of the band gap and a change of the Fermi wave vector with spin. For chiral semiconducting CNTs with large chiral angle we show that the spin-splitting configuration of bands near the Fermi energy depends on the value of $\text{mod}(2n+m,3)$ .}},
  author       = {{Liu, Hong and Heinze, Dirk Florian and Thanh Duc, Huynh and Schumacher, Stefan and Meier, Torsten}},
  issn         = {{0953-8984}},
  journal      = {{Journal of Physics: Condensed Matter}},
  number       = {{44}},
  title        = {{{Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling}}},
  doi          = {{10.1088/0953-8984/27/44/445501}},
  volume       = {{27}},
  year         = {{2015}},
}

@article{13922,
  author       = {{Liu, Hong and Heinze, Dirk Florian and Thanh Duc, Huynh and Schumacher, Stefan and Meier, Torsten}},
  issn         = {{0953-8984}},
  journal      = {{Journal of Physics: Condensed Matter}},
  number       = {{44}},
  title        = {{{Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling}}},
  doi          = {{10.1088/0953-8984/27/44/445501}},
  volume       = {{27}},
  year         = {{2015}},
}

@article{13930,
  author       = {{Oreshnikov, I. and Driben, R. and Yulin, A. V.}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  number       = {{21}},
  title        = {{{Weak and strong interactions between dark solitons and dispersive waves}}},
  doi          = {{10.1364/ol.40.004871}},
  volume       = {{40}},
  year         = {{2015}},
}

@article{13924,
  author       = {{Oreshnikov, I. and Driben, R. and Yulin, A. V.}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  number       = {{21}},
  title        = {{{Weak and strong interactions between dark solitons and dispersive waves}}},
  doi          = {{10.1364/ol.40.004871}},
  volume       = {{40}},
  year         = {{2015}},
}

@article{13923,
  author       = {{Oreshnikov, I. and Driben, R. and Yulin, A. V.}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  number       = {{23}},
  title        = {{{Interaction of high-order solitons with external dispersive waves}}},
  doi          = {{10.1364/ol.40.005554}},
  volume       = {{40}},
  year         = {{2015}},
}

@article{13931,
  author       = {{Driben, R. and Yulin, A. V. and Efimov, A.}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  number       = {{15}},
  title        = {{{Resonant radiation from oscillating higher order solitons}}},
  doi          = {{10.1364/oe.23.019112}},
  volume       = {{23}},
  year         = {{2015}},
}

@article{13925,
  author       = {{Driben, R. and Yulin, A. V. and Efimov, A.}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  number       = {{15}},
  title        = {{{Resonant radiation from oscillating higher order solitons}}},
  doi          = {{10.1364/oe.23.019112}},
  volume       = {{23}},
  year         = {{2015}},
}

@article{13929,
  author       = {{Oreshnikov, I. and Driben, R. and Yulin, A. V.}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  number       = {{23}},
  title        = {{{Interaction of high-order solitons with external dispersive waves}}},
  doi          = {{10.1364/ol.40.005554}},
  volume       = {{40}},
  year         = {{2015}},
}

@article{43250,
  abstract     = {{We present radiation mechanism exhibited by a higher order soliton. In a course of its evolution the higher-order soliton emits polychromatic radiation resulting in formation of multipeak frequency comb-like spectral band. The shape and spectral position of this band can be effectively controlled by the relative strength of the third order dispersion. An analytical description is corroborated by numerical simulations. It is shown that for longer pulses the described effect persists also under the action of higher order perturbations such as Raman and self-steepening.}},
  author       = {{Driben, R. and Yulin, A. V. and Efimov, A.}},
  journal      = {{Optics Express}},
  number       = {{15}},
  pages        = {{19112--19117}},
  title        = {{{Resonant radiation from oscillating higher order solitons}}},
  doi          = {{10.1364/OE.23.019112}},
  volume       = {{23}},
  year         = {{2015}},
}

@article{43249,
  abstract     = {{The effect of mutual interactions between dark solitons and dispersive waves is investigated numerically and analytically. The condition of the resonant scattering of dispersive waves on dark solitons is derived and compared against the results of the numerical simulations. It is shown that the interaction with intense dispersive waves affects the dynamics of the solitons by accelerating, decelerating, or destroying them. It is also demonstrated that two dark solitons can form a cavity for dispersive waves bouncing between the two dark solitons. The differences of the resonant scattering of the dispersive waves on dark and bright solitons are discussed. In particular, we demonstrate that two dark solitons and a dispersive wave bouncing in between them create a solitonic cavity with convex “mirrors,” unlike the concave “mirror” in the case of bright solitons.}},
  author       = {{Oreshnikov, I. and Yulin, A. V. and Driben, R.}},
  journal      = {{Optics Letters}},
  number       = {{21}},
  pages        = {{4871--4874}},
  title        = {{{Weak and strong interactions between dark solitons and dispersive waves}}},
  doi          = {{10.1364/OL.40.004871}},
  volume       = {{40}},
  year         = {{2015}},
}

@inproceedings{43907,
  abstract     = {{The carrier wave of high-intensity phase-locked multi-THz pulses controls dynamical Bloch oscillations and interband polarization in bulk semiconductors, leading to the emission of all-coherent high-order harmonics covering 12.7 optical octaves from THz to VIS regimes.}},
  author       = {{Meier, Torsten}},
  booktitle    = {{Frontiers in Optics 2014, OSA Technical Digest}},
  isbn         = {{1-55752-286-3}},
  location     = {{Tucson, Arizona United States}},
  title        = {{{Coherent bloch oscillations driven by ultrastrong THz excitation}}},
  doi          = {{10.1364/LS.2014.LTu4I.2}},
  year         = {{2014}},
}

@inproceedings{43920,
  abstract     = {{Dynamical Bloch oscillations and coherent interband polarization in bulk GaSe are controlled by CEP-stable, ultra-intense multi-THz waveforms and result in the emission of phase-stable high-order harmonics covering 12.7 optical octaves from THz to VIS regimes.}},
  author       = {{Meier, Torsten and Langer, F. and Schubert, O. and Hohenleutner, M. and Urbanek, B. and Lange, C. and Huttner, U. and Golde, D. and Kira, M. and Koch, S.W. and Huber, R.}},
  booktitle    = {{CLEO: QELS_Fundamental Science}},
  isbn         = {{978-1-55752-999-2}},
  location     = {{San Jose, California United States}},
  title        = {{{CEP control of dynamical Bloch oscillations in a bulk semiconductor via ultra-intense multi-THz fields}}},
  doi          = {{10.1364/CLEO_QELS.2014.FTh1C.1}},
  year         = {{2014}},
}

@article{22957,
  abstract     = {{We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional (3D) solitary-wave states. Peanut-shaped modulation profiles give rise to vertically symmetric and antisymmetric vortex states, and novel stationary hybrid states, built of top and bottom vortices with opposite topological charges, as well as robust dynamical hybrids, which feature stable precession of a vortex on top of a zero-vorticity soliton. The analysis reveals stability regions for symmetric, antisymmetric, and hybrid states. In addition, bead-shaped modulation profiles give rise to the first example of exact analytical solutions for stable 3D vortex solitons. The predicted states may be realized in media with a controllable cubic nonlinearity, such as Bose–Einstein condensates.}},
  author       = {{Driben, Rodislav and Kartashov, Yaroslav V. and Malomed, Boris A. and Meier, Torsten and Torner, Lluis}},
  issn         = {{1367-2630}},
  journal      = {{New Journal of Physics}},
  title        = {{{Three-dimensional hybrid vortex solitons}}},
  doi          = {{10.1088/1367-2630/16/6/063035}},
  volume       = {{16}},
  year         = {{2014}},
}

@article{43199,
  abstract     = {{We find that the recently introduced model of self-trapping supported by a spatially growing strength of a repulsive nonlinearity gives rise to robust vortex-soliton tori, i.e., three-dimensional vortex solitons, with topological charges 
S≥1. The family with S=1 is completely stable, while the one with S=2 has alternating regions of stability and instability. The families are nearly exactly reproduced in an analytical form by the Thomas-Fermi approximation. Unstable states with S=2 and 3 split into persistently rotating pairs or triangles of unitary vortices. Application of a moderate torque to the vortex torus initiates a persistent precession mode, with the torus’ axle moving along a conical surface. A strong torque heavily deforms the vortex solitons, but, nonetheless, they restore themselves with the axle oriented according to the vectorial addition of angular momenta.}},
  author       = {{Meier, Torsten and Driben, R. and Kartashov, Y. V. and Malomed, B. A. and Torner, L.}},
  journal      = {{Physical review letters}},
  number       = {{2}},
  title        = {{{Soliton gyroscopes in media with spatially growing repulsive nonlinearity}}},
  doi          = {{10.1103/PhysRevLett.112.020404}},
  volume       = {{112}},
  year         = {{2014}},
}

@article{22956,
  abstract     = {{Parametric down-conversion (PDC) forms one of the basic building blocks for quantum optical experiments. However, the intrinsic multimode spectral-temporal structure of pulsed PDC often poses a severe hindrance for the direct implementation of the heralding of pure single-photon states or, for example, continuous-variable entanglement distillation experiments. To get rid of multimode effects narrowband frequency filtering is frequently applied to achieve a single-mode behavior. A rigorous theoretical description to accurately describe the effects of filtering on PDC, however, is still missing. To date, the theoretical models of filtered PDC are rooted in the discrete-variable domain and only account for filtering in the low-gain regime, where only a few photon pairs are emitted at any single point in time. In this paper we extend these theoretical descriptions and put forward a simple model, which is able to accurately describe the effects of filtering on PDC in the continuous-variable domain. This developed straightforward theoretical framework enables us to accurately quantify the tradeoff between suppression of higher-order modes, reduced purity, and lowered Einstein–Podolsky–Rosen entanglement, when narrowband filters are applied to multimode type-II PDC.}},
  author       = {{Christ, Andreas and Lupo, Cosmo and Reichelt, Matthias and Meier, Torsten and Silberhorn, Christine}},
  issn         = {{1050-2947}},
  journal      = {{Physical Review A}},
  number       = {{2}},
  title        = {{{Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering}}},
  doi          = {{10.1103/physreva.90.023823}},
  volume       = {{90}},
  year         = {{2014}},
}

@inproceedings{43914,
  abstract     = {{Ultra-intense and CEP-stable waveforms in the multi-THz range control dynamical Bloch oscillations and interband polarization in bulk GaSe, leading to the emission of all-coherent high-order harmonics covering 12.7 optical octaves from THz to VIS regimes.}},
  author       = {{Meier, Torsten and Hohenleutner, M. and Schubert, O. and Langer, F. and Urbanek, B. and Lange, C. and Huttner, U. and Golde, D. and Kira, M. and Koch, S.W. and Huber, R.}},
  booktitle    = {{19th International Conference on Ultrafast Phenomena}},
  isbn         = {{1-55752-279-0}},
  location     = {{Okinawa Japan}},
  title        = {{{Phase-locked multi-THz high-harmonic generation by dynamical bloch oscillations in bulk semiconductors}}},
  doi          = {{10.1364/UP.2014.10.Thu.A.3}},
  year         = {{2014}},
}

@article{22955,
  abstract     = {{The dynamics of 3D Airy-vortex wave packets is studied under the action of strong self-focusing Kerr nonlinearity. Emissions of nonlinear 3D waves out of the main wave packets with the topological charges were demonstrated. Because of the conservation of the total angular momentum, charges of the emitted waves are equal to those carried by the parental light structure. The rapid collapse imposes a severe limitation on the propagation of multidimensional waves in Kerr media. However, the structure of the Airy beam carrier allows the coupling of light from the leading, most intense peak into neighboring peaks and consequently strongly postpones the collapse. The dependence of the critical input amplitude for the appearance of a fast collapse on the beam width is studied for wave packets with zero and nonzero topological charges. Wave packets carrying angular momentum are found to be much more resistant to the rapid collapse.}},
  author       = {{Driben, Rodislav and Meier, Torsten}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  number       = {{19}},
  pages        = {{5539--5542}},
  title        = {{{Nonlinear dynamics of Airy-vortex 3D wave packets: emission of vortex light waves}}},
  doi          = {{10.1364/ol.39.005539}},
  volume       = {{39}},
  year         = {{2014}},
}

@article{22954,
  abstract     = {{The dynamics of two component-coupled vectorial Airy beams is investigated. In the linear propagation regime, a complete analytic solution describes the breather-like propagation of two components that feature nondiffracting self-accelerating Airy behavior. The superposition of two beams with different input properties opens the possibility of designing more complex nondiffracting propagation scenarios. In the strongly nonlinear regime, the dynamics remain qualitatively robust as is revealed by direct numerical simulations. Because of the Kerr effect, the two beams emit solitonic breathers whose coupling period is compatible with the remaining Airy-like beams. The results of this study are relevant for the description of photonic and plasmonic beams that propagate in coupled planar waveguides, as well as for birefrigent or multiwavelength beams.}},
  author       = {{Driben, R. and Konotop, V. V. and Meier, Torsten}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  number       = {{19}},
  pages        = {{5523--5526}},
  title        = {{{Coupled Airy breathers}}},
  doi          = {{10.1364/ol.39.005523}},
  volume       = {{39}},
  year         = {{2014}},
}

