Manipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement

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dc.creatorRuostekoski, J.
dc.creatorJavanainen, J.
dc.creatorDunne, G. V.
dc.date2007-09-13
dc.date.accessioned2026-07-07T11:12:06Z
dc.date.available2026-07-07T11:12:06Z
dc.descriptionWe provide a detailed analysis of our previously proposed scheme [Phys. Rev. Lett. 88, 180401, (2002)] to engineer the profile of the hopping amplitudes for atomic gases in a 1D optical lattice so that the particle number becomes fractional. We consider a constructed system of a dilute two-species gas of fermionic atoms where the two components are coupled via a coherent electromagnetic field with a topologically nontrivial phase profile. We show both analytically and numerically how the resulting atomic Hamiltonian in a prepared dimerized optical lattice with a defect in the pattern of alternating hopping amplitudes exhibits a fractional fermion number. In particular, in the low-energy limit we demonstrate the equivalence of the atomic Hamiltonian to a relativistic Dirac Hamiltonian describing fractionalization in quantum field theory. Expanding on our earlier argument [Phys. Rev. Lett. 91, 150404 (2003)] we show how the fractional eigenvalues of the particle number operator can be detected via light scattering. In particular, we show how scattering of far-off resonant light can convey information about the counting statistics of the atoms in an optical lattice, including state-selective atom density profiles and atom number fluctuations. Optical detection could provide a truly quantum mechanical measurement of the particle number fractionalization in a dilute atomic gas.
dc.description18 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0709.2187
dc.identifierhttp://arxiv.org/abs/0709.2187
dc.identifierPhys.Rev.A77:013603,2008
dc.identifierdoi:10.1103/PhysRevA.77.013603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191270
dc.subjectOther Condensed Matter
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleManipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement
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