Quantum gray solitons in confining potentials.

@article{WadkinSnaith2012QuantumGS,
  title={Quantum gray solitons in confining potentials.},
  author={Dominic C. Wadkin-Snaith and Dimitri M. Gangardt},
  journal={Physical review letters},
  year={2012},
  volume={108 8},
  pages={
          085301
        }
}
We define and study holelike excitations (the Lieb II mode) in a weakly interacting Bose liquid subject to external confinement. These excitations are obtained by semiclassical quantization of gray solitons propagating on top of a Thomas-Fermi background. Radiation of phonons by an accelerated gray soliton leads to a finite lifetime of these excitations. It is shown that, for a large number of trapped atoms, most of the Lieb II levels can be experimentally resolved. 

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References

SHOWING 1-10 OF 119 REFERENCES
Dark solitons in Bose-Einstein condensates
Summary form only given. One of the most striking aspects of Bose-Einstein condensates (BEC) of weakly interacting gases are the nonlinear properties of these systems. Of particular interest are
Dark-soliton dynamics in Bose-Einstein condensates at finite temperature
The dynamics of a dark soliton in an elongated Bose-Einstein condensate is studied at finite temperatures. In addition to accurately reproducing all stages of the decay of the soliton observed in the
Regimes of quantum degeneracy in trapped 1D gases
TLDR
The regimes of quantum degeneracy in a trapped 1D gas are discussed, how to distinguish between true and quasicondensates in phase coherence experiments is discussed, and the diagram of states is obtained.
Quantum dark soliton: Nonperturbative diffusion of phase and position (6 pages)
The dark soliton solution of the Gross-Pitaevskii equation in one dimension has two parameters that do not change the energy of the solution: the global phase of the condensate wave function and the
Dynamics of dark solitons in elongated Bose-Einstein condensates.
TLDR
Two types of moving dark soliton textures in elongated condensates are found: nonstationary kinks and proper dark solitons, which have a flat notch region and the diagram of their dynamical stability is obtained.
Quantum transport through a Tonks-Girardeau gas.
TLDR
This work investigates the propagation of spin impurity atoms through a strongly interacting one-dimensional Bose gas, observing a very complex nonequilibrium dynamics, including the emergence of large density fluctuations in the remaining BoseGas, and multiple scattering events leading to dissipation of the impurity's motion.
Parametric driving of dark solitons in atomic Bose-Einstein condensates.
TLDR
A dark soliton oscillating in an elongated harmonically confined atomic Bose-Einstein condensate continuously exchanges energy with the sound field to extend the soliton lifetime up to the lifetime of the condensates.
Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory
R Rajaraman 1982 Amsterdam: North-Holland vii + 409 pp Dfl195 In recent years the roles of nontrivial solutions of Euler-Lagrange equations in statistical mechanics and quantum field theory have been
Motion of dark solitons in trapped bose-einstein condensates
TLDR
It is shown that solitons can exhibit viscous or radiative acceleration (antidamping), which is estimated as slow but observable on experimental time scales.
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