TY - JOUR
T1 - Quantum simulation of the anderson hamiltonian with an array of coupled nanoresonators
T2 - Delocalization and thermalization effects
AU - Lozada-Vera, John
AU - Carrillo, Alejandro
AU - De Sá Neto, Olimpio P.
AU - Moqadam, Jalil K.
AU - Lahaye, Matthew D.
AU - de Oliveira, Marcos C.
N1 - Funding Information:
JKM acknowledges financial support from Brazilian National Council for Scientific and Technological Development (CNPq), grant PDJ 165941/2014-6. MCO acknowledges support by FAPESP and CNPq through the National Institute for Science and Technology on Quantum Information and the Research Center in Optics and Photonics (CePOF). MDL acknowledges support for this work provided by the National Science Foundation under Grant DMR-1056423 and Grant DMR-1312421.
Publisher Copyright:
© 2016 Lozada-Vera et al.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - 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.
AB - 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.
KW - Anderson localization
KW - Nanoelectromechanical system
KW - Quantum simulators
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U2 - 10.1140/epjqt/s40507-016-0047-3
DO - 10.1140/epjqt/s40507-016-0047-3
M3 - Article
AN - SCOPUS:85022217955
SN - 2662-4400
VL - 3
JO - EPJ Quantum Technology
JF - EPJ Quantum Technology
IS - 1
M1 - 9
ER -