A dielectric superfluid of polar molecules

نویسندگان

  • Ryan M Wilson
  • Seth T Rittenhouse
  • John L Bohn
چکیده

We show that, under achievable experimental conditions, a Bose–Einstein condensate of polar molecules can exhibit dielectric character. In particular, we derive a set of self-consistent mean-field equations that couple the condensate density to its electric dipole field, leading to the emergence of polarization modes that are coupled to the rich quasi-particle spectrum of the condensate. While the usual roton instability is suppressed in this system, the coupling can give rise to a phonon-like instability that is characteristic of a dielectric material with a negative static dielectric function. The electrical properties of any material are encoded in its dielectric function κ(q, ω), which relates the induced dipole moments within the material to an applied electric field with wave vector q and frequency ω. For its predicted relationship to a variety of novel physical phenomena, the possibility of κ taking on negative values has generated much interest. For the ac case, it is well known that the dielectric function can become negative, for example, at frequencies near an atomic resonance, resulting in the high reflectivity of metals [1]. Similarly, under specially engineered circumstances the magnetic permeability of certain materials can become negative, resulting in a negative index of refraction [2, 3]. For a dc field, however, the existence of a negative dielectric function becomes more subtle. Formally, in the infinite-wavelength limit q→ 0, a material is stabilized only if its dielectric function, or constant, is non-negative [4]. Such is not necessarily the case for q 6= 0, however, where the dielectric constant may take on negative values without violating causality [5]. 3 Author to whom any correspondence should be addressed. New Journal of Physics 14 (2012) 043018 1367-2630/12/043018+12$33.00 © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft

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تاریخ انتشار 2012