Bright solitons in non-equilibrium coherent quantum matter

Pinsker, Florian; Flayac, H.

doi:10.1098/rspa.2015.0592

Cited by 8 publications

(10 citation statements)

References 60 publications

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“…The presence of the reservoir decreases the plane wave amplitude while the opposite spin component increases the amplitude and vice versa consistent with the analysis in [23]. We note that for slowly varying ψ ± (x) and P ± (x) we set P ± → P ± (x) in (34).…”

Section: Spin Sensitive Results For Plane and Linear Wavessupporting

confidence: 80%

“…We suggest that localisation of a wave packet in x-space is due the flat dispersion relation of the lower polariton branch allowing large k modes to be occupied with less energy than in cGPE models. In addition we note that an alternative route to bright soliton generation in polariton condensates could be along the lines of effective attractive self-interactions as discussed in [34] with results similar to matter-wave bright soliton formation in ultra-cold lithium-7 gases [35]. Apart from this the signs of the non-parabolic dispersion relation of polaritons are apparent in many aspects of wave formation starting from bright-type solitons trains on top of dark solitons trains to chaotic dark solitons to the explicit form of linear waves of the polariton spin modes.…”

Section: Discussionmentioning

confidence: 99%

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Effects of the non-parabolic kinetic energy on non-equilibrium polariton condensates

Pinsker

Ruan

Alexander³

2017

Sci Rep

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In the study of non-equilibrium polariton condensates it is usually assumed that the dispersion relation of polaritons is parabolic in nature. We show that considering the true non-parabolic kinetic energy of polaritons leads to significant changes in the behaviour of the condensate due to the curvature of the dispersion relation and the possibility of transfer of energy to high wavenumber components in the condensate spatial profile. We present explicit solutions for plane waves and linear excitations, and identify the differences in the theoretical predictions between the parabolic and non-parabolic mean-field models, showing the possibility of symmetry breaking in the latter. We then consider the evolution of wavepackets and show that self-localisation effects may be observed due to the curvature of the dispersion relation. Finally, we revisit the dynamics of dark soliton trains and show that additional localized density excitations may emerge in the dynamics due to the excitation of high frequency components, mimicking the appearance of near-bright solitary waves over short timescales.

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Section: Spin Sensitive Results For Plane and Linear Wavessupporting

confidence: 80%

Section: Discussionmentioning

confidence: 99%

Effects of the non-parabolic kinetic energy on non-equilibrium polariton condensates

Pinsker

Ruan

Alexander³

2017

Sci Rep

Self Cite

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“…We note that similar approach based on Lagrangian formalism was successfully used to determine the parameters of stationary soliton solutions in spinor polariton condensates [30]. In our work we used this formalism and perturbative theory to describe dark soliton dynamics.…”

Section: B Variational Approximationmentioning

confidence: 99%

“…where α j = x 0 , A, B, D are the soliton parameters (which in general are functions of time) and α j = d dt α j . Substituting (25) to the Euler-Lagrange equation (26) we can derive evolution equations for the soliton parameters [18][19][20][21]30].…”

Section: B Variational Approximationmentioning

confidence: 99%

“…Many previously reported experimental results are accurately modeled by the Gross-Pitaevskii equation (GPE). The use of GPE makes it possible to describe fundamental properties of dark and bright solitons in a polariton condensate, such as their dynamics, stability, and continous emission [27][28][29][30][31][32][33][34]. Successful creation of nonlinear excitations and their manipulation gave rise to a new concept of information processing based on vortices and soliton dynamics [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of defect-induced dark solitons in an exciton-polariton condensate

et al. 2018

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We study theoretically the emission of dark solitons induced by a moving defect in a nonresonantly pumped exciton-polariton condensate. The number of created dark solitons per unit of time is found to be strongly dependent on the pump power. We relate the observed dynamics of this process to the oscillations of the drag force experienced by the condensate. We investigate the stability of the polariton quantum fluid and present various types of dynamics depending on the condensate and moving obstacle parameters. Furthermore, we provide analytical expressions for dark soliton dynamics using the variational method adapted to the non-equilibrium polariton system. The determined dynamical equations are found to be in excellent agreement with the results of numerical simulations.

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Dark Soliton of Polariton Condensates under Nonresonant PT -Symmetric Pumping*

Chun-yu

Liang

2020

Chinese Phys. Lett.

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A quantum system in complex potentials obeying parity-time ( P T ) symmetry could exhibit all real spectra, starting out in non-Hermitian quantum mechanics. The key physics behind a P T -symmetric system consists of the balanced gain and loss of the complex potential. We plan to include the nonequilibrium nature (i.e., the intrinsic kinds of gain and loss of a system) to a P T -symmetric many-body quantum system, with an emphasis on the combined effects of non-Hermitian due to nonequilibrium nature and P T symmetry in determining the properties of a system. To this end, we investigate the static and dynamical properties of a dark soliton of a polariton Bose–Einstein condensate under the P T -symmetric non-resonant pumping by solving the driven-dissipative Gross–Pitaevskii equation both analytically and numerically. We derive the equation of motion for the center of mass of the dark soliton’s center analytically with the help of the Hamiltonian approach. The resulting equation captures how the combination of the open-dissipative character and P T -symmetry affects the properties of the dark soliton; i.e., the soliton relaxes by blending with the background at a finite time. Further numerical solutions are in excellent agreement with the analytical results.

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Bright solitons in non-equilibrium coherent quantum matter

Cited by 8 publications

References 60 publications

Effects of the non-parabolic kinetic energy on non-equilibrium polariton condensates

Effects of the non-parabolic kinetic energy on non-equilibrium polariton condensates

Dynamics of defect-induced dark solitons in an exciton-polariton condensate

Dark Soliton of Polariton Condensates under Nonresonant PT -Symmetric Pumping*

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