2004/05/31 by Jiannis K. Pachos
Physics and Astronomy · #Atom (system on chip) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dipole #Electric dipole moment #Electric field #Ground state #Hamiltonian (control theory) #Lattice (music) #Magnetic dipole #Magnetic field #Optical lattice #Physics #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum simulator #Quantum, superfluid, helium dynamics #Ultracold atom #cond-mat.mes-hall #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1016/j.physleta.2005.06.097
published as Phys.Lett. A344 (2005) 441 · 4 pages, 2 figures, REVTEX. Title slightly changed and conclusions extended
arxiv created 2004/08/31 · openalex publication_date 2005/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present how a phase factor is generated when an electric dipole moves along a closed trajectory inside a magnetic field gradient. The similarity of this situation with charged particles in a magnetic field can be employed to simulate condensed matter models, such as the quantum Hall effect and chiral spin Hamiltonians, with ultra cold atoms integrated on atom chips. To illustrate this we consider a triangular configuration of a two dimensional optical lattice, where the chiral spin Hamiltonian σi ⋅ σj × σk can be generated between any three neighbours on a lattice yielding an experimentally implementable chiral ground state.