Amplitude spectroscopy of two coupled qubits

A. M. Satanin, M. V. Denisenko, Sahel Ashhab, Franco Nori

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We study the effect of a time-dependent driving field with a high amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating-wave approximation (RWA) makes it possible to find simple conditions for resonant excitation of the four-level system. We find that the resonance conditions include the coupling strength between the qubits. Numerical simulations confirm the qualitative conclusions following from the RWA. To reveal the peculiarities of resonant transitions caused by the quasilevel motion and crossing in a periodic driving field, we use Floquet states, which determine the precise intermediate states of the system. Calculating the quasienergy states of the multilevel system makes it possible to find the transition probabilities and build interference patterns for the transition probabilities. The interference patterns demonstrate the possibility of obtaining various pieces of information about the qubits, since the positions of transition-probability maxima depend on various system parameters, including the coupling strength between the qubits.

Original languageEnglish
Article number184524
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number18
DOIs
Publication statusPublished - 18 May 2012
Externally publishedYes

Fingerprint

transition probabilities
Spectroscopy
spectroscopy
interference
approximation
Computer simulation
excitation
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Amplitude spectroscopy of two coupled qubits. / Satanin, A. M.; Denisenko, M. V.; Ashhab, Sahel; Nori, Franco.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 85, No. 18, 184524, 18.05.2012.

Research output: Contribution to journalArticle

Satanin, A. M. ; Denisenko, M. V. ; Ashhab, Sahel ; Nori, Franco. / Amplitude spectroscopy of two coupled qubits. In: Physical Review B - Condensed Matter and Materials Physics. 2012 ; Vol. 85, No. 18.
@article{baaaf7e9e29b4c768a95b62764e65e78,
title = "Amplitude spectroscopy of two coupled qubits",
abstract = "We study the effect of a time-dependent driving field with a high amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating-wave approximation (RWA) makes it possible to find simple conditions for resonant excitation of the four-level system. We find that the resonance conditions include the coupling strength between the qubits. Numerical simulations confirm the qualitative conclusions following from the RWA. To reveal the peculiarities of resonant transitions caused by the quasilevel motion and crossing in a periodic driving field, we use Floquet states, which determine the precise intermediate states of the system. Calculating the quasienergy states of the multilevel system makes it possible to find the transition probabilities and build interference patterns for the transition probabilities. The interference patterns demonstrate the possibility of obtaining various pieces of information about the qubits, since the positions of transition-probability maxima depend on various system parameters, including the coupling strength between the qubits.",
author = "Satanin, {A. M.} and Denisenko, {M. V.} and Sahel Ashhab and Franco Nori",
year = "2012",
month = "5",
day = "18",
doi = "10.1103/PhysRevB.85.184524",
language = "English",
volume = "85",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "18",

}

TY - JOUR

T1 - Amplitude spectroscopy of two coupled qubits

AU - Satanin, A. M.

AU - Denisenko, M. V.

AU - Ashhab, Sahel

AU - Nori, Franco

PY - 2012/5/18

Y1 - 2012/5/18

N2 - We study the effect of a time-dependent driving field with a high amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating-wave approximation (RWA) makes it possible to find simple conditions for resonant excitation of the four-level system. We find that the resonance conditions include the coupling strength between the qubits. Numerical simulations confirm the qualitative conclusions following from the RWA. To reveal the peculiarities of resonant transitions caused by the quasilevel motion and crossing in a periodic driving field, we use Floquet states, which determine the precise intermediate states of the system. Calculating the quasienergy states of the multilevel system makes it possible to find the transition probabilities and build interference patterns for the transition probabilities. The interference patterns demonstrate the possibility of obtaining various pieces of information about the qubits, since the positions of transition-probability maxima depend on various system parameters, including the coupling strength between the qubits.

AB - We study the effect of a time-dependent driving field with a high amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating-wave approximation (RWA) makes it possible to find simple conditions for resonant excitation of the four-level system. We find that the resonance conditions include the coupling strength between the qubits. Numerical simulations confirm the qualitative conclusions following from the RWA. To reveal the peculiarities of resonant transitions caused by the quasilevel motion and crossing in a periodic driving field, we use Floquet states, which determine the precise intermediate states of the system. Calculating the quasienergy states of the multilevel system makes it possible to find the transition probabilities and build interference patterns for the transition probabilities. The interference patterns demonstrate the possibility of obtaining various pieces of information about the qubits, since the positions of transition-probability maxima depend on various system parameters, including the coupling strength between the qubits.

UR - http://www.scopus.com/inward/record.url?scp=84861655622&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861655622&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.85.184524

DO - 10.1103/PhysRevB.85.184524

M3 - Article

AN - SCOPUS:84861655622

VL - 85

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 18

M1 - 184524

ER -