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Reference: Rebecca Natalie Palmer, (2008). Entanglement detection and fractional quantum Hall effect in optical lattices. DPhil. University of Oxford.Citable link to this page:

 

Entanglement detection and fractional quantum Hall effect in optical lattices

Abstract: We consider the purity-based entanglement detection scheme introduced in [C. Moura Alves and D. Jaksch, Phys. Rev. Lett. 93, 110501 (2004)]. We describe how it could be implemented in an optical lattice using two-atom loss, and prove that in this form it detects all pure entangled states even without any spatial resolution. We then prove that correcting for certain reasonable types of experimental error is possible, and practical for error rates up to the order of one over the number of lattice sites considered. Limited spatial resolution similarly becomes a significant improvement over no spatial resolution only at nearly single site level. We also show how to use this process for state parameter estimation and collapse-revival evidence of entanglement, for which it remains useful even when the error rate is too high to permit unambiguous entanglement detection. We also consider an optical lattice bosonic analogue of the fractional quantum Hall (FQH) effect. This system can reach high “magnetic fields” very difficult to attain in the solid state FQH system, where the discrete nature of the lattice becomes important. Near simple rational numbers l/n of flux quanta per lattice cell, we find that the single particle states become nearly periodic with period n lattice sites, and have an n fold degeneracy which leads to FQH states resembling those of n-internal-state particles. Standard time of flight expansion would reveal this periodicity and be able to distinguish FQH states from vortex lattice or Mott insulator states. Shot noise correlation would provide further information on the nature of the FQH states.

Digital Origin:Born digital Type of Award:DPhil Level of Award:Doctoral Awarding Institution: University of Oxford

Contributors

Dr Dieter JakschMore by this contributor

RoleSupervisor

 Bibliographic Details

Issue Date: 2008

Copyright Date: 2007 Identifiers

Urn: uuid:fa57f4fa-12eb-405c-b8fd-e98925cd0983 Item Description

Type: thesis;

Language: en Keywords: entanglement quantum Hall optical latticeSubjects: Quantum computation Tiny URL: ora:1924

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Author: Miss Rebecca Natalie Palmer - institutionUniversity of Oxford facultyMathematical,Physical and Life Sciences Division - Physics -

Source: https://ora.ox.ac.uk/objects/uuid:fa57f4fa-12eb-405c-b8fd-e98925cd0983



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