English

Spatial compression of a particle state in a parabolic potential by spin measurements

Other Condensed Matter 2016-12-14 v1 Quantum Physics

Abstract

We propose a scheme for engineering compressed spatial states in a two-dimensional parabolic potential with a spin-orbit coupling by selective spin measurements. This sequence of measurements results in a coordinate-dependent density matrix with probability maxima achieved at a set of lines or at a two dimensional lattice. The resultant probability density depends on the spin-orbit coupling and the potential parameters and allows one to obtain a broad class of localized pure states on demand. The proposed scheme can be realized in spin-orbit coupled Bose-Einstein condensates.

Keywords

Cite

@article{arxiv.1612.01588,
  title  = {Spatial compression of a particle state in a parabolic potential by spin measurements},
  author = {P. V. Pyshkin and E. Ya. Sherman and Da-Wei Luo and J. Q. You and Lian-Ao Wu},
  journal= {arXiv preprint arXiv:1612.01588},
  year   = {2016}
}