Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime
<div><p>We derive the Hamiltonian of a superconducting circuit that comprises a single-Josephson-junction flux qubit inductively coupled to an LC oscillator, and we compare the derived circuit Hamiltonian with the quantum Rabi Hamiltonian, which describes a two-level system coupled to a...
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| منشور في: |
2022
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| _version_ | 1864513519157772288 |
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| author | F. Yoshihara (18387177) |
| author2 | S. Ashhab (14152701) T. Fuse (18387180) M. Bamba (18387183) K. Semba (18387186) |
| author2_role | author author author author |
| author_facet | F. Yoshihara (18387177) S. Ashhab (14152701) T. Fuse (18387180) M. Bamba (18387183) K. Semba (18387186) |
| author_role | author |
| dc.creator.none.fl_str_mv | F. Yoshihara (18387177) S. Ashhab (14152701) T. Fuse (18387180) M. Bamba (18387183) K. Semba (18387186) |
| dc.date.none.fl_str_mv | 2022-04-26T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1038/s41598-022-10203-1 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Hamiltonian_of_a_flux_qubit-LC_oscillator_circuit_in_the_deep_strong-coupling_regime/25611663 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Physical sciences Quantum physics Flux qubit LC oscillator Circuit Hamiltonian Two-level system Harmonic oscillator Energy level structure Coupling strength |
| dc.title.none.fl_str_mv | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <div><p>We derive the Hamiltonian of a superconducting circuit that comprises a single-Josephson-junction flux qubit inductively coupled to an LC oscillator, and we compare the derived circuit Hamiltonian with the quantum Rabi Hamiltonian, which describes a two-level system coupled to a harmonic oscillator. We show that there is a simple, intuitive correspondence between the circuit Hamiltonian and the quantum Rabi Hamiltonian. While there is an overall shift of the entire spectrum, the energy level structure of the circuit Hamiltonian up to the seventh excited states can still be fitted well by the quantum Rabi Hamiltonian even in the case where the coupling strength is larger than the frequencies of the qubit and the oscillator, i.e., when the qubit-oscillator circuit is in the deep–strong-coupling regime. We also show that although the circuit Hamiltonian can be transformed via a unitary transformation to a Hamiltonian containing a capacitive coupling term, the resulting circuit Hamiltonian cannot be approximated by the variant of the quantum Rabi Hamiltonian that is obtained using an analogous procedure for mapping the circuit variables onto Pauli and harmonic oscillator operators, even for relatively weak coupling. This difference between the flux and charge gauges follows from the properties of the qubit Hamiltonian eigenstates.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Scientific Reports<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1038/s41598-022-10203-1" target="_blank">https://dx.doi.org/10.1038/s41598-022-10203-1</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_70f3548f33d6b98e535d10cb1ac29065 |
| identifier_str_mv | 10.1038/s41598-022-10203-1 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25611663 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regimeF. Yoshihara (18387177)S. Ashhab (14152701)T. Fuse (18387180)M. Bamba (18387183)K. Semba (18387186)Physical sciencesQuantum physicsFlux qubitLC oscillatorCircuit HamiltonianTwo-level systemHarmonic oscillatorEnergy level structureCoupling strength<div><p>We derive the Hamiltonian of a superconducting circuit that comprises a single-Josephson-junction flux qubit inductively coupled to an LC oscillator, and we compare the derived circuit Hamiltonian with the quantum Rabi Hamiltonian, which describes a two-level system coupled to a harmonic oscillator. We show that there is a simple, intuitive correspondence between the circuit Hamiltonian and the quantum Rabi Hamiltonian. While there is an overall shift of the entire spectrum, the energy level structure of the circuit Hamiltonian up to the seventh excited states can still be fitted well by the quantum Rabi Hamiltonian even in the case where the coupling strength is larger than the frequencies of the qubit and the oscillator, i.e., when the qubit-oscillator circuit is in the deep–strong-coupling regime. We also show that although the circuit Hamiltonian can be transformed via a unitary transformation to a Hamiltonian containing a capacitive coupling term, the resulting circuit Hamiltonian cannot be approximated by the variant of the quantum Rabi Hamiltonian that is obtained using an analogous procedure for mapping the circuit variables onto Pauli and harmonic oscillator operators, even for relatively weak coupling. This difference between the flux and charge gauges follows from the properties of the qubit Hamiltonian eigenstates.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Scientific Reports<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1038/s41598-022-10203-1" target="_blank">https://dx.doi.org/10.1038/s41598-022-10203-1</a></p>2022-04-26T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1038/s41598-022-10203-1https://figshare.com/articles/journal_contribution/Hamiltonian_of_a_flux_qubit-LC_oscillator_circuit_in_the_deep_strong-coupling_regime/25611663CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/256116632022-04-26T03:00:00Z |
| spellingShingle | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime F. Yoshihara (18387177) Physical sciences Quantum physics Flux qubit LC oscillator Circuit Hamiltonian Two-level system Harmonic oscillator Energy level structure Coupling strength |
| status_str | publishedVersion |
| title | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| title_full | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| title_fullStr | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| title_full_unstemmed | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| title_short | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| title_sort | Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime |
| topic | Physical sciences Quantum physics Flux qubit LC oscillator Circuit Hamiltonian Two-level system Harmonic oscillator Energy level structure Coupling strength |