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Journal of Applied Physics / Volume 107 / Issue 9 / PROCEEDINGS OF THE 11TH JOINT MMM-INTERMAG CONFERENCE, WASHINGTON, DC, 2010 / Critical Phenomena, Superconductivity, Correlated Systems, Electronic Structure

J. Appl. Phys. 107, 09E110 (2010); http://dx.doi.org/10.1063/1.3364065 (3 pages)

Geometry induced entanglement transitions in nanostructures

J. P. Coe, S. Abdullah, and I. D’Amico

Department of Physics, University of York, York YO10 5DD, United Kingdom

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(Received 6 November 2009; accepted 4 December 2009; published online 21 April 2010)

We model quantum dot nanostructures using a one-dimensional system of two interacting electrons. We show that strong and rapid variations may be induced in the spatial entanglement by varying the nanostructure geometry. We investigate the position-space information entropy as an indicator of the entanglement in this system. We also consider the expectation value of the Coulomb interaction and the ratio of this expectation to the expectation of the confining potential and their link to the entanglement. We look at the first derivative of the entanglement and the position-space information entropy to infer information about a possible quantum phase transition.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THE MODEL
  3. ENTANGLEMENT
  4. RESULTS
  5. CONCLUSIONS

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KEYWORDS and PACS

Keywords

Coulomb blockade, entropy, nanostructured materials, quantum dots, quantum entanglement, solid-state phase transformations

PACS

  • 68.65.Hb

    Quantum dots (patterned in quantum wells)

  • 81.07.Bc

    Nanocrystalline materials

  • 61.46.-w

    Structure of nanoscale materials

  • 65.40.gd

    Entropy

  • 73.23.Hk

    Coulomb blockade; single-electron tunneling

  • 03.65.Ud

    Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3364065

PUBLICATION DATA

ISSN

0021-8979 (print)  
1089-7550 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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    S. Abdullah, J. P. Coe, and I. D'Amico, Phys. Rev. B 80, 235302 (2009).

    J. P. Coe, A. Sudbery, and I. D'Amico, Phys. Rev. B 77, 205122 (2008).

    L. -A. Wu, M. S. Sarandy, D. A. Lidar, and L. J. Sham, Phys. Rev. A 74, 052335 (2006).

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