Equation of motion approach to black-box quantization: Taming the multimode Jaynes-Cummings model

Hassler, Fabian; Stubenrauch, Jakob; Ciani, Alessandro

doi:10.1103/physrevb.99.014515

Cited by 7 publications

(5 citation statements)

References 27 publications

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“…A natural decoupling occurs between the qubit and high-frequency modes, which eliminates the divergences mentioned above [21][22][23]. It is worth noting that there have been other studies on the high-frequency cutoff in superconducting circuits [24][25][26][27][28] and atom-cavity systems [29][30][31].…”

Section: Introductionmentioning

confidence: 95%

High-frequency suppression of inductive coupling between flux qubit and transmission line resonator

Ashhab,

Ao,

Yoshihara

et al. 2024

Phys. Scr.

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We perform theoretical calculations to investigate the naturally occurring high-frequency cutoff in a circuit comprising a flux qubit coupled inductively to a transmission line resonator (TLR). Specifically, a decoupling occurs between the qubit and the high-frequency modes. The coupling strength between the qubit and resonator modes increases with mode frequency $\omega$ as $\sqrt{\omega}$ at low frequencies and decreases as $1/\sqrt{\omega}$ at high frequencies. This result is similar to those of past studies that considered somewhat similar circuit designs. By avoiding the approximation of ignoring the qubit-TLR coupling in certain steps in the analysis, we obtain effects not captured in previous studies. In particular, we obtain a resonance effect that shifts the TLR mode frequencies close to qubit oscillation frequencies. We derive expressions for the TLR mode frequencies, qubit-TLR coupling strengths and qubit Lamb shift. We identify features in the spectrum of the system that can be used in future experiments to test and validate the theoretical model.

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Section: Introductionmentioning

confidence: 95%

High-frequency suppression of inductive coupling between flux qubit and transmission line resonator

Ashhab,

Ao,

Yoshihara

et al. 2024

Phys. Scr.

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“…Finally, a recent paper proposes a new method to derive the master equation of a system of superconducting qubits coupled to a low admittance, corresponding to weak coupling to the environment, by extracting only a few relevant degrees of freedom of the circuit and treating the rest in a Lindbladian way. [ 66 ]…”

Section: A Hamiltonian Formalism For Resistors In Circuit Qedmentioning

confidence: 99%

Engineering Dissipation with Resistive Elements in Circuit Quantum Electrodynamics

Cattaneo

Paraoanu

2021

Adv Quantum Tech

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The importance of dissipation engineering ranges from universal quantum computation to non‐equilibrium quantum thermodynamics. In recent years, more and more theoretical and experimental studies have shown the relevance of this topic for circuit quantum electrodynamics, one of the major platforms in the race for a quantum computer. This article discusses how to simulate thermal baths by inserting resistive elements in networks of superconducting qubits. Apart from pedagogically reviewing the phenomenological and microscopic models of a resistor as thermal bath with Johnson–Nyquist noise, the paper introduces some new results in the weak coupling limit, showing that the most common examples of open quantum systems can be simulated through capacitively coupled superconducting qubits and resistors. The aim of the manuscript, written with a broad audience in mind, is to be both an instructive tutorial about how to derive and characterize the Hamiltonian of general dissipative superconducting circuits with capacitive coupling, and a review of the most relevant and topical theoretical and experimental works focused on resistive elements and dissipation engineering.

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“…The well-established input-output theory to compute dissipation [61] has been broadly employed since the very early stages of circuit QED, with a special attention on the analysis of open transmission line resonators with an infinite number of modes [62]. Finally, a recent paper proposes a new method to derive the master equation of a system of superconducting qubits coupled to a low admittance, corresponding to weak coupling to the environment, by extracting only a few relevant degrees of freedom of the circuit and treating the rest in a Lindbladian way [63].…”

Section: B Caldeira-leggett Phenomenological Model Of a Resistormentioning

confidence: 99%

Engineering dissipation with resistive elements in circuit quantum electrodynamics

Cattaneo,

Paraoanu

2021

Preprint

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The importance of dissipation engineering ranges from universal quantum computation to nonequilibrium quantum thermodynamics. In recent years, more and more theoretical and experimental studies have shown the relevance of this topic for circuit quantum electrodynamics, one of the major platforms in the race for a quantum computer. This article discusses how to simulate thermal baths by inserting resistive elements in networks of superconducting qubits. Apart from pedagogically reviewing the phenomenological and microscopic models of a resistor as thermal bath with Johnson-Nyquist noise, the paper introduces some new results in the weak coupling limit, showing that the most common examples of open quantum systems can be simulated through capacitively coupled superconducting qubits and resistors. The aim of the manuscript, written with a broad audience in mind, is to be both an instructive tutorial about how to derive and characterize the Hamiltonian of general dissipative superconducting circuits with capacitive coupling, and a review of the most relevant and topical theoretical and experimental works focused on resistive elements and dissipation engineering.

show abstract

Equation of motion approach to black-box quantization: Taming the multimode Jaynes-Cummings model

Cited by 7 publications

References 27 publications

High-frequency suppression of inductive coupling between flux qubit and transmission line resonator

High-frequency suppression of inductive coupling between flux qubit and transmission line resonator

Engineering Dissipation with Resistive Elements in Circuit Quantum Electrodynamics

Engineering dissipation with resistive elements in circuit quantum electrodynamics

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