nLab Bose-Einstein condensate

Contents

Context

Quantum systems

quantum logic


quantum physics


quantum probability theoryobservables and states


quantum information


quantum computation

quantum algorithms:

Contents

Idea

A condensate of bosons.

References

General

Textbook accounts:

See also:

Proposal to use BEC for quantum computation:

Discussion of BECs via AdS-CFT in condensed matter physics:

  • Yu-Kun Yan, Shanquan Lan, Yu Tian, Peng Yang, Shunhui Yao, Hongbao Zhang, Towards an effective description of holographic vortex dynamics [arXiv:2207.02814]

Defect anyons

Often the concept of anyons is introduced as if a generalization of perturbative quanta like fundamental bosons and fermions. But many (concepts of) types of anyons are really solitonic\;defects such as vortices.

The general concept of braiding of defects in solid state physics:

and more specifically for vortices:

Explicit discussion in terms of anyons:

  • Alexei Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321 1 (2006) 2-111 [[doi:10.1016/j.aop.2005.10.005]]

    Anyonic particles are best viewed as a kind of topological defects that reveal nontrivial properties of the ground state. [[p. 4]]

Concrete vortex\;anyons in Bose-Einstein condensates:

and in (other) superfluids:

  • Yusuke Masaki, Takeshi Mizushima, Muneto Nitta, Non-Abelian Half-Quantum Vortices in 3P2 Topological Superfluids [[arXiv:2107.02448]]

and in condensates of non-defect anyons:

See also Ahn, Park & Yang 19 who refer to the band nodes in the Brillouin torus of a semi-metal as “vortices in momentum space”.

And see at defect brane.

Last revised on July 7, 2022 at 03:25:54. See the history of this page for a list of all contributions to it.