Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions

@article{Achilleos2012DarkSA,
  title={Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions},
  author={Vasos Achilleos and P G Kevrekidis and Dimitri J. Frantzeskakis and R. Carretero-Gonz'alez},
  journal={Physical Review A},
  year={2012},
  volume={86}
}
We consider nonlinear analogs of parity-time- (PT-) symmetric linear systems exhibiting defocusing nonlinearities. We study the ground state and odd excited states (dark solitons and vortices) of the system and report the following remarkable features. For relatively weak values of the parameter e controlling the strength of the PT-symmetric potential, excited states undergo (analytically tractable) spontaneous symmetry breaking; as e is further increased, the ground state and first excited… Expand
Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
We examine a prototypical nonlinear Schr\"odinger model bearing a defocusing nonlinearity and Parity-Time (PT) symmetry. For such a model, the solutions can be identified numerically andExpand
Solitonic dynamics and excitations of the nonlinear Schrödinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials
TLDR
Novel bright solitons of the NLS equation with third-order dispersion in some complex -symmetric potentials are presented and the results predict the dynamical phenomena of soliton equations in the presence of third- order dispersion and -Symmetric Potentials arising in nonlinear fiber optics and other physically relevant fields. Expand
SYMMETRY BREAKING OF SOLITONS IN PT-SYMMETRIC POTENTIALS WITH COMPETING CUBIC-QUINTIC NONLINEARITY
Symmetry breaking of solitons in optical waveguides with competing cubic-quintic nonlinearity and parity-time (PT)-symmetric complex-valued external potentials is investigated. This symmetry breakingExpand
From nodeless clouds and vortices to gray ring solitons and symmetry-broken states in two-dimensional polariton condensates.
TLDR
The dynamical, pattern-forming implications of the above instabilities are explored through direct numerical simulations and, in turn, give rise to waveforms with triangular or quadrupolar symmetry. Expand
Interactions of bright and dark solitons with localized PT-symmetric potentials.
We study collisions of moving nonlinear-Schrödinger solitons with a PT-symmetric dipole embedded into the one-dimensional self-focusing or defocusing medium. Accurate analytical results are producedExpand
Nonlocal solitons supported by non-parity-time-symmetric complex potentials
We report on the existence and stability of fundamental and out-of-phase dipole solitons in nonlocal focusing Kerr media supported by one-dimensional non-parity-time (PT)-symmetric complexExpand
The nonlinear Schrödinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations.
TLDR
The nonlinear Schrödinger equation with generalized nonlinearities and complex non-Hermitian potentials is investigated and it is found that the nonlinearity can excite the unstable linear modes to stable nonlinear modes. Expand
Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity.
TLDR
An alternative type of parity-time (PT)-symmetric generalized Scarf-II potentials is presented, which makes possible for non-Hermitian Hamiltonians in the classical linear Schrödinger system to possess fully real spectra with unique features and to support one-dimensional (1D) stable PT-Symmetric solitons of power-law waveform in focusing Kerr-type nonlinear media. Expand
Gap solitons in PT-symmetric optical lattices with higher-order diffraction.
TLDR
Fundamental solitons are found to be always linearly stable with arbitrary positive value of the coupling constant in the semi-infinite gap of a parity-time (PT)-symmetric periodic potential (optical lattice) with a higher-order diffraction. Expand
On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators
We study the spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator observed experimentally by Xu and Coen in Opt.~Lett.~{\bf 39}, 3492 (2014). WeExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 53 REFERENCES
Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment
Basic Mean-Field Theory for Bose-Einstein Condensates.- Basic Mean-Field Theory for Bose-Einstein Condensates.- Bright Solitons in Bose-Einstein Condensates.- Bright Solitons in Bose-EinsteinExpand
Bose-Einstein Condensation in Dilute Gases
1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8.Expand
A: Math
  • Theor. 43, 213001
  • 2010
Phys
  • Rev. Lett. 100, 030402 (2008); K.G. Makris, R. El-Ganainy, D.N. Christodoulides and Z.H. Musslimani, Phys. Rev. A81, 063807
  • 2010
Phys
  • Rev. A 85, 043840
  • 2012
Phys. Rev. A
  • Phys. Rev. A
  • 2012
A
  • A. Sukhorukov, and Yu.S . Kivshar, Phys. Rev. A84, 013833
  • 2011
Abdullaev
  • Y. V. Kartashov, V. V. Konotop and D. A. Zezyulin, Phys. Rev. A83, 041805
  • 2011
Europhys
  • Lett. 96, 64003
  • 2011
Europhys. Lett
  • Europhys. Lett
  • 2011
...
1
2
3
4
5
...