Floquet space exploration for the dual-dressing of a qubit
Abstract The application of a periodic nonresonant drive to a system allows the Floquet engineering of effective fields described by a broad class of quantum simulated Hamiltonians. The Floquet evolution is based on two different elements. The first one is a time-independent or stroboscopic evolutio...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-09-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-41693-2 |
| _version_ | 1797452955852472320 |
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| author | Alessandro Fregosi Carmela Marinelli Carlo Gabbanini Giuseppe Bevilacqua Valerio Biancalana Ennio Arimondo Andrea Fioretti |
| author_facet | Alessandro Fregosi Carmela Marinelli Carlo Gabbanini Giuseppe Bevilacqua Valerio Biancalana Ennio Arimondo Andrea Fioretti |
| author_sort | Alessandro Fregosi |
| collection | DOAJ |
| description | Abstract The application of a periodic nonresonant drive to a system allows the Floquet engineering of effective fields described by a broad class of quantum simulated Hamiltonians. The Floquet evolution is based on two different elements. The first one is a time-independent or stroboscopic evolution with an effective Hamiltonian corresponding to the quantum simulation target. The second element is the time evolution at the frequencies of the nonresonant driving and of its harmonics, denoted as micromotion. We examine experimentally and theoretically the harmonic dual-dressing Floquet engineering of a cold atomic two-level sample. Our focus is the dressing operation with small bare energies and large Rabi frequencies, where frequencies and amplitudes of the stroboscopic/micromotion time evolutions are comparable. At the kHz range of our dressed atom oscillations, we probe directly both the stroboscopic and micromotion components of the qubit global time evolution. We develop ad-hoc monitoring tools of the Floquet space evolution. The direct record of the time evolution following a pulsed excitation demonstrates the interplay between the two components of the spin precession in the Floquet space. From the resonant pumping of the dressed system at its evolution frequencies, Floquet eigenenergy spectra up to the fifth order harmonic of the dressing frequency are precisely measured as function of dressing parameters. Dirac points of the Floquet eigenenergies are identified and, correspondingly, a jump in the dynamical phase shift is measured. The stroboscopic Hamiltonian eigenfrequencies are measured also from the probe of the micromotion sidebands.These monitoring tools are appropriate for quantum simulation/computation investigations. Our results evidence that the stroboscopic phase shift of the qubit wavefunction contains an additional information that opens new simulation directions. |
| first_indexed | 2024-03-09T15:16:09Z |
| format | Article |
| id | doaj.art-f5d62a34ade7448b8c34c99e50bfa8ec |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-09T15:16:09Z |
| publishDate | 2023-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-f5d62a34ade7448b8c34c99e50bfa8ec2023-11-26T13:06:09ZengNature PortfolioScientific Reports2045-23222023-09-0113111210.1038/s41598-023-41693-2Floquet space exploration for the dual-dressing of a qubitAlessandro Fregosi0Carmela Marinelli1Carlo Gabbanini2Giuseppe Bevilacqua3Valerio Biancalana4Ennio Arimondo5Andrea Fioretti6Istituto Nazionale di Ottica, CNR-INO, Sede Secondaria di PisaIstituto Nazionale di Ottica, CNR-INO, Sede Secondaria di PisaIstituto Nazionale di Ottica, CNR-INO, Sede Secondaria di PisaDip. di Scienze Fisiche, della Terra e dell’Ambiente, Università degli Studi di SienaDip. di Scienze Fisiche, della Terra e dell’Ambiente, Università degli Studi di SienaIstituto Nazionale di Ottica, CNR-INO, Sede Secondaria di PisaIstituto Nazionale di Ottica, CNR-INO, Sede Secondaria di PisaAbstract The application of a periodic nonresonant drive to a system allows the Floquet engineering of effective fields described by a broad class of quantum simulated Hamiltonians. The Floquet evolution is based on two different elements. The first one is a time-independent or stroboscopic evolution with an effective Hamiltonian corresponding to the quantum simulation target. The second element is the time evolution at the frequencies of the nonresonant driving and of its harmonics, denoted as micromotion. We examine experimentally and theoretically the harmonic dual-dressing Floquet engineering of a cold atomic two-level sample. Our focus is the dressing operation with small bare energies and large Rabi frequencies, where frequencies and amplitudes of the stroboscopic/micromotion time evolutions are comparable. At the kHz range of our dressed atom oscillations, we probe directly both the stroboscopic and micromotion components of the qubit global time evolution. We develop ad-hoc monitoring tools of the Floquet space evolution. The direct record of the time evolution following a pulsed excitation demonstrates the interplay between the two components of the spin precession in the Floquet space. From the resonant pumping of the dressed system at its evolution frequencies, Floquet eigenenergy spectra up to the fifth order harmonic of the dressing frequency are precisely measured as function of dressing parameters. Dirac points of the Floquet eigenenergies are identified and, correspondingly, a jump in the dynamical phase shift is measured. The stroboscopic Hamiltonian eigenfrequencies are measured also from the probe of the micromotion sidebands.These monitoring tools are appropriate for quantum simulation/computation investigations. Our results evidence that the stroboscopic phase shift of the qubit wavefunction contains an additional information that opens new simulation directions.https://doi.org/10.1038/s41598-023-41693-2 |
| spellingShingle | Alessandro Fregosi Carmela Marinelli Carlo Gabbanini Giuseppe Bevilacqua Valerio Biancalana Ennio Arimondo Andrea Fioretti Floquet space exploration for the dual-dressing of a qubit Scientific Reports |
| title | Floquet space exploration for the dual-dressing of a qubit |
| title_full | Floquet space exploration for the dual-dressing of a qubit |
| title_fullStr | Floquet space exploration for the dual-dressing of a qubit |
| title_full_unstemmed | Floquet space exploration for the dual-dressing of a qubit |
| title_short | Floquet space exploration for the dual-dressing of a qubit |
| title_sort | floquet space exploration for the dual dressing of a qubit |
| url | https://doi.org/10.1038/s41598-023-41693-2 |
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