Spin and density self-ordering in dynamic polarization gradients fields
- URL: http://arxiv.org/abs/2006.16582v2
- Date: Mon, 21 Dec 2020 13:03:59 GMT
- Title: Spin and density self-ordering in dynamic polarization gradients fields
- Authors: Natalia Masalaeva, Wolfgang Niedenzu, Farokh Mivehvar, Helmut Ritsch
- Abstract summary: We study the zero-temperature quantum phase diagram for a two-component Bose-Einstein condensate in an optical cavity.
The two atomic spin states are Raman coupled by two transversely-polarized, blue detuned plane-wave lasers inducing a repulsive cavity potential.
We show that the atom-cavity system implements central aspects of the $t$-$J$-$V$-$W$ model with a rich phase diagram.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the zero-temperature quantum phase diagram for a two-component
Bose-Einstein condensate in an optical cavity. The two atomic spin states are
Raman coupled by two transverse orthogonally-polarized, blue detuned plane-wave
lasers inducing a repulsive cavity potential. For weak pump the lasers favor a
state with homogeneous density and predefined uniform spin direction. When one
pump laser is polarized parallel to the cavity mode polarization, the photons
coherently scattered into the resonator induce a polarization gradient along
the cavity axis, which mediates long-range density-density, spin-density, and
spin-spin interactions. We show that the coupled atom-cavity system implements
central aspects of the $t$-$J$-$V$-$W$ model with a rich phase diagram. At the
mean-field limit we identify at least four qualitatively distinct density- and
spin-ordered phases including ferro- and anti-ferromagnetic order along the
cavity axis, which can be controlled via the pump strength and detuning. A real
time observation of amplitude and phase of the emitted fields bears strong
signatures of the realized phase and allows for real-time determination of
phase transition lines. Together with measurements of the population imbalance
most properties of the phase diagram can be reconstructed.
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