Quantum simulation of the anderson hamiltonian with an array of coupled nanoresonators

Delocalization and thermalization effects

John Lozada-Vera, Alejandro Carrillo, Olimpio P. De Sá Neto, Jalil K. Moqadam, Matthew Lahaye, Marcos C. de Oliveira

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The possibility of using nanoelectromechanical systems as a simulation tool for quantum many-body effects is explored. It is demonstrated that an array of electrostatically coupled nanoresonators can effectively simulate the Bose-Hubbard model without interactions, corresponding in the single-phonon regime to the Anderson tight-binding model. Employing a density matrix formalism for the system coupled to a bosonic thermal bath, we study the interplay between disorder and thermalization, focusing on the delocalization process. It is found that the phonon population remains localized for a long time at low enough temperatures; with increasing temperatures the localization is rapidly lost due to thermal pumping of excitations into the array, producing in the equilibrium a fully thermalized system. Finally, we consider a possible experimental design to measure the phonon population in the array by means of a superconducting transmon qubit coupled to individual nanoresonators. We also consider the possibility of using the proposed quantum simulator for realizing continuous-time quantum walks.

Original languageEnglish (US)
Article number9
JournalEPJ Quantum Technology
Volume3
Issue number1
DOIs
StatePublished - Dec 1 2016

Fingerprint

Hamiltonians
NEMS
Hubbard model
Design of experiments
simulation
Simulators
Temperature
simulators
baths
pumping
disorders
formalism
excitation
Hot Temperature
interactions
temperature

Keywords

  • Anderson localization
  • Nanoelectromechanical system
  • Quantum simulators

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Quantum simulation of the anderson hamiltonian with an array of coupled nanoresonators : Delocalization and thermalization effects. / Lozada-Vera, John; Carrillo, Alejandro; De Sá Neto, Olimpio P.; Moqadam, Jalil K.; Lahaye, Matthew; de Oliveira, Marcos C.

In: EPJ Quantum Technology, Vol. 3, No. 1, 9, 01.12.2016.

Research output: Contribution to journalArticle

Lozada-Vera, John ; Carrillo, Alejandro ; De Sá Neto, Olimpio P. ; Moqadam, Jalil K. ; Lahaye, Matthew ; de Oliveira, Marcos C. / Quantum simulation of the anderson hamiltonian with an array of coupled nanoresonators : Delocalization and thermalization effects. In: EPJ Quantum Technology. 2016 ; Vol. 3, No. 1.
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