Dimitrios J. Frantzeskakis

Prof. Dr. Dimitrios J. Frantzeskakis


Research Focus & Metrics

Academic Career Length

31Years (1996-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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15 June 2023 in Physical Review A
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GKG. C. Katsimiga
G. C. Katsimiga
SMSimeon Mistakidis
Simeon Mistakidis
GKG. N. Koutsokostas
G. N. Koutsokostas
DFDimitrios J. Frantzeskakis
Dimitrios J. Frantzeskakis
RCR. Carretero-González
R. Carretero-González
PKPanayotis G. Kevrekidis
Panayotis G. Kevrekidis
We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear symmetric Bose mixtures. Leveraging a phase-plane analysis, we identify the regimes of existence of different types of quantum droplets and subsequently examine the possibility of black and gray solitons and kink-type structures in this system. Moreover, we employ the Landau dynamics approach to extract an analytical estimate of the oscillation frequency of a single dark soliton in the relevant extended Gross–Pitaevskii model. Within this framework, we also find that the single soliton immersed in a droplet is stable, while multisoliton configurations exhibit parametric windows of oscillatory instabilities. Our results pave the way for studying dynamical features of nonlinear multisoliton excitations in a droplet environment in contemporary experimental settings.

4 August 2023 in Condensed Matter
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GKGaryfallia C. Katsimiga
Garyfallia C. Katsimiga
SMSimeon Mistakidis
Simeon Mistakidis
Boris MalomedBoris Malomed
Boris Malomed
DFDimitrios J. Frantzeskakis
Dimitrios J. Frantzeskakis
RCRicardo Carretero-Gonzalez
Ricardo Carretero-Gonzalez
PKPanayotis G. Kevrekidis
Panayotis G. Kevrekidis
We explore the dynamics and interactions of multiple bright droplets and bubbles, as well as the interactions of kinks with droplets and with antikinks, in the extended one-dimensional Gross–Pitaevskii model including the Lee–Huang–Yang correction. Existence regions are identified for the one-dimensional droplets and bubbles in terms of their chemical potential, verifying the stability of the droplets and exposing the instability of the bubbles. The limiting case of the droplet family is a stable kink. The interactions between droplets demonstrate in-phase (out-of-phase) attraction (repulsion), with the so-called Manton’s method explicating the observed dynamical response, and mixed behavior for intermediate values of the phase shift. Droplets bearing different chemical potentials experience mass-exchange phenomena. Individual bubbles exhibit core expansion and mutual attraction prior to their destabilization. Droplets interacting with kinks are absorbed by them, a process accompanied by the emission of dispersive shock waves and gray solitons. Kink–antikink interactions are repulsive, generating counter-propagating shock waves. Our findings reveal dynamical features of droplets and kinks that can be detected in current experiments.

17 June 2016 in Physical Review A
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Efstathios G. CharalampidisEfstathios G. Charalampidis
Efstathios G. Charalampidis
WWWenlong Wang
Wenlong Wang
PKPanayotis G. Kevrekidis
Panayotis G. Kevrekidis
DFDimitrios J. Frantzeskakis
Dimitrios J. Frantzeskakis
JCJesús Cuevas-Maraver
Jesús Cuevas-Maraver
In this work, we employ the SO(2) rotations of a two-component, one-, two-, and three-dimensional nonlinear Schrödinger system at and near the Manakov limit to construct vector solitons and vortex structures. In this way, stable stationary dark-bright solitons and their higher-dimensional siblings are transformed into robust oscillatory dark-dark solitons (and generalizations thereof) with and without a harmonic confinement. By analogy to the one-dimensional case, vector higher-dimensional structures take the form of vortex-vortex states in two dimensions and, e.g., vortex-ring–vortex-ring ones in three dimensions. We consider the effects of unequal (self- and cross-) interaction strengths, where the SO(2) symmetry is only approximately satisfied, showing the dark-dark soliton oscillation is generally robust. Similar features are found in higher dimensions too, although our examples suggest that phenomena such as phase separation may contribute to the associated dynamics. These results, in connection with the experimental realization of one-dimensional variants of such states in optics and Bose-Einstein condensates, suggest the potential observability of the higher-dimensional bound states proposed herein.

1 May 2012 in New Journal of Physics
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VAV Achilleos
V Achilleos
DYD Yan
D Yan
PKP G Kevrekidis
P G Kevrekidis
DFDimitrios J. Frantzeskakis
Dimitrios J. Frantzeskakis
Manipulation of Gaussian derivative pulses and vector solitons in fiber lasers with analytic modeling by the coupled complex Ginzburg-Landau equations

10 May 2022 in Wave Motion
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THTheodoros P. Horikis
Theodoros P. Horikis
DFDimitrios J. Frantzeskakis
Dimitrios J. Frantzeskakis
NSNoel Frederick Smyth
Noel Frederick Smyth

26 January 2015 in Physical Review E
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Efstathios G. CharalampidisEfstathios G. Charalampidis
Efstathios G. Charalampidis
PKPanayotis G. Kevrekidis
Panayotis G. Kevrekidis
DFDimitrios J. Frantzeskakis
Dimitrios J. Frantzeskakis
Boris MalomedBoris Malomed
Boris Malomed
We study a two-component nonlinear Schrödinger system with equal, repulsive cubic interactions and different dispersion coefficients in the two components. We consider states that have a dark solitary wave in one component. Treating it as a frozen one, we explore the possibility of the formation of bright-solitonic structures in the other component. We identify bifurcation points at which such states emerge in the bright component in the linear limit and explore their continuation into the nonlinear regime. An additional analytically tractable limit is found to be that of vanishing dispersion of the bright component. We numerically identify regimes of potential stability, not only of the single-peak ground state (the dark-bright soliton), but also of excited states with one or more zero crossings in the bright component. When the states are identified as unstable, direct numerical simulations are used to investigate the outcome of the instability development. Although our principal focus is on the homogeneous setting, we also briefly touch upon the counterintuitive impact of the potential presence of a parabolic trap on the states of interest.