Engineering the dynamics of effective spin-chain models for strongly interacting atomic gases

A. G. Volosniev, D. Petrosyan, Manuel Valiente Cifuentes, D. V. Fedorov, A. S. Jensen, N. T. Zinner

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Abstract

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for independently tuning the parameters of the spin Hamiltonian through interatomic (intraspecies) interaction, which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few-and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest nontrivial system of four particles representing exchange-coupled qubits.

Original languageEnglish
Article number023620
Number of pages9
JournalPhysical Review A
Volume91
Issue number2
DOIs
Publication statusPublished - 20 Feb 2015

Keywords

  • DIMENSIONAL QUANTUM FLUIDS
  • TONKS-GIRARDEAU GAS
  • OPTICAL LATTICE
  • MOTT INSULATOR
  • ULTRACOLD ATOMS
  • STATE TRANSFER
  • PHYSICS
  • TRANSITION
  • SUPERFLUID
  • FERMIONS

Cite this

Volosniev, A. G., Petrosyan, D., Valiente Cifuentes, M., Fedorov, D. V., Jensen, A. S., & Zinner, N. T. (2015). Engineering the dynamics of effective spin-chain models for strongly interacting atomic gases. Physical Review A, 91(2), [023620]. https://doi.org/10.1103/PhysRevA.91.023620