Convergence of the multimode quantum Rabi model of circuit quantum electrodynamics

Gely, Mario F.; Parra-Rodriguez, A.; Bothner, Daniel; Blanter, Ya. M.; Bosman, Sal J.; Solano, E.; Steele, Gary A.

doi:10.1103/physrevb.95.245115

Cited by 60 publications

(63 citation statements)

References 32 publications

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“…However, for larger coupling rates, the higher modes no longer play a weak perturbative role [45]. Exploring the exact consequences of this fact on the observable USC phenomena that can be observed is outside the scope of this work, as is determining alternatives to probing the system spectroscopically to show for example the nontrivial ground state that one would expect in this regime.…”

Section: Towards Higher Coupling In Transmon Systems: a Proposalmentioning

confidence: 99%

Approaching ultrastrong coupling in transmon circuit QED using a high-impedance resonator

et al. 2017

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In this experiment, we couple a superconducting transmon qubit to a high-impedance 645 microwave resonator. Doing so leads to a large qubit-resonator coupling rate g, measured through a large vacuum Rabi splitting of 2g 910 MHz. The coupling is a significant fraction of the qubit and resonator oscillation frequencies ω, placing our system close to the ultrastrong coupling regime (ḡ = g/ω = 0.071 on resonance). Combining this setup with a vacuum-gap transmon architecture shows the potential of reaching deep into the ultrastrong couplingḡ ∼ 0.45 with transmon qubits.

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Section: Towards Higher Coupling In Transmon Systems: a Proposalmentioning

confidence: 99%

Approaching ultrastrong coupling in transmon circuit QED using a high-impedance resonator

et al. 2017

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“…23 In this flux region, we observe two notable features. The first is an anti-crossing at Φ/Φ 0~0 .471, which we attribute to an avoided crossing with the g j i to f j i transition of the qubit (indicated with the blue dashed line on the right).…”

Section: Resultsmentioning

confidence: 81%

“…This is notably due to the renormalization of the charging energy that comes from considering higher resonator modes. 23 b Line-cut showing the vacuum Rabi splitting of the qubit transition with ω 1 , resulting in a separation of Δ VRS = 2π × 1.19 GHz, which is about 281 linewidths of separation. c Close up of the spectrum around half a flux quantum (anti-sweet spot), where the qubit frequency is minimal (ω a $ < 2π 1:1 GHz from the fitted model).…”

Section: Resultsmentioning

confidence: 99%

“…21 With very strong coupling rates, the additional modes of an electromagnetic resonator become increasingly relevant, and U/DSC can only be understood in these systems if the multimode effects are correctly modeled. Previous extensions of the Rabi model have lead to un-physical predictions of dissipation rates 22 or the Lamb shift 23 arising from a multi-mode interaction. Recently, new models have been developed in which these unphysical predictions no longer arise.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, new models have been developed in which these unphysical predictions no longer arise. 23,24 However, experiments have yet to reach a parameter regime where such physics becomes relevant.…”

Section: Introductionmentioning

confidence: 99%

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Multi-mode ultra-strong coupling in circuit quantum electrodynamics

et al. 2017

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With the introduction of superconducting circuits into the field of quantum optics, many experimental demonstrations of the quantum physics of an artificial atom coupled to a single-mode light field have been realized. Engineering such quantum systems offers the opportunity to explore extreme regimes of light-matter interaction that are inaccessible with natural systems. For instance the coupling strength g can be increased until it is comparable with the atomic or mode frequency ω a,m and the atom can be coupled to multiple modes which has always challenged our understanding of light-matter interaction. Here, we experimentally realize a transmon qubit in the ultra-strong coupling regime, reaching coupling ratios of g/ω m = 0.19 and we measure multi-mode interactions through a hybridization of the qubit up to the fifth mode of the resonator. This is enabled by a qubit with 88% of its capacitance formed by a vacuum-gap capacitance with the center conductor of a coplanar waveguide resonator. In addition to potential applications in quantum information technologies due to its small size, this architecture offers the potential to further explore the regime of multi-mode ultra-strong coupling. With strong coupling, 3 where the coupling is larger than the dissipation rates γ and κ of the atom and mode respectively, experiments such as photon-number resolution 4 or Schrödinger-cat revivals 5 have beautifully displayed the quantum physics of a single-atom coupled to the electromagnetic field of a single mode. As the field matures, circuits of larger complexity are explored, 6-8 opening the prospect of controllably studying systems that are theoretically and numerically difficult to understand.One example is the interaction between an (artificial) atom and an electromagnetic mode where the coupling rate becomes a considerable fraction of the atomic or mode eigen-frequency. This ultra-strong coupling (USC) regime, described by the quantum Rabi model, shows the breakdown of excitation number as conserved quantity, resulting in a significant theoretical challenge. 9,10 In the regime of g=ω a;m ' 1, known as deep-strong coupling (DSC), a symmetry breaking of the vacuum is predicted 11 (i.e., qualitative change of the ground state), similar to the Higgs mechanism or Jahn-Teller instability. To date, U/DSC with superconducting circuits has only been realized with flux qubits 6,12 or in the context of quantum simulations. 13,14 Using transmon qubits for USC is interesting due to their higher coherence rates 15 as well as their weakly-anharmonic nature, allowing the exploration of a different Hamiltonian than with flux qubits. 16 Since transmon qubits are currently a standard in quantum computing efforts, [17][18][19] implementing USC in a transmon architecture could also have technological applications by

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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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Convergence of the multimode quantum Rabi model of circuit quantum electrodynamics

Cited by 60 publications

References 32 publications

Approaching ultrastrong coupling in transmon circuit QED using a high-impedance resonator

Approaching ultrastrong coupling in transmon circuit QED using a high-impedance resonator

Multi-mode ultra-strong coupling in circuit quantum electrodynamics

Engineering Dissipation with Resistive Elements in Circuit Quantum Electrodynamics

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