Model of a PT-symmetric Bose-Einstein condensate in a delta-function double-well potential

By H. Cartarius, G. Wunner. 2012

194 citations recorded by the source corpus.

The observation of PT symmetry in a coupled optical wave guide system that involves a complex refractive index has been demonstrated impressively in the experiment by R\"uter el al. (Nat. Phys. 6, 192, 2010). This is, however, only an optical analogue of a quantum system, and it would be highly desirable to observe the manifestation of PT symmetry and the resulting properties also in a real, experimentally accessible, quantum system. Following a suggestion by Klaiman et al. (Phys. Rev. Lett. 101, 080402, 2008), we investigate a PT symmetric arrangement of a Bose-Einstein condensate in a double well potential, where in one well cold atoms are injected while in the other particles are extracted from the condensate. We investigate, in particular, the effects of the nonlinearity in the Gross-Pitaevskii equation on the PT properties of the condensate. To study these effects we analyze a simple one-dimensional model system in which the condensate is placed into two PT symmetric delta-function traps. The analysis will serve as a useful guide for studies of the behaviour of Bose-Einstein condensates in realistic PT symmetric double wells.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/df0853454f8d13eab650f0147fbe5093ed3eee07

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization (2015, background): “Einstein condensates trapped in a PT-symmetric doublewell potential [26,27] and nontopological superconductors [28].”
Nonlinear waves in PT -symmetric systems (2016, background): “However, most of the studies of double-well and periodic PT -symmetric potentials (Cartarius and Wunner, 2012; Cartarius et al., 2012; Dast et al., 2013a,b; Li et al., 2012a; Mayteevarunyoo, Malomed, and Reoksabutr, 2013; Musslimani et al., 2008a; Nixon, Ge, and Yang, 2012; Rodrigues et al., 2013)…”
Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations (2017, methodology): “This concept has since been applied to optics [6,7], Bose-Einstein condensation [8], electric circuits [9], mechanical systems [10], magnetics [11] and other settings.”