# 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

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#### References

SHOWING 1-10 OF 53 REFERENCES

Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment

- Physics
- 2008

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-Einstein… Expand

Bose-Einstein Condensation in Dilute Gases

- Physics
- 2001

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