Circuit QED theory of direct and dual Shapiro steps with finite-size transmission line resonators

• URL: http://arxiv.org/abs/2405.12935v2
• Date: Fri, 18 Oct 2024 16:33:29 GMT
• Title: Circuit QED theory of direct and dual Shapiro steps with finite-size transmission line resonators
• Authors: Federico Borletto, Luca Giacomelli, Cristiano Ciuti,
• Abstract summary: We investigate the occurrence of direct and dual Shapiro steps for a Josephson junction coupled to a finite-size transmission line resonator. For the dual case, we do not assume the (approximate) charge-phase duality, but include the full multi-band dynamics for the Josephson junction. We show how the dual steps are very sensitive to these fluctuations and identify the key physical parameters for the junction and the transmission line.
• Score: 0.0
• License:
• Abstract: We investigate the occurrence of direct and dual Shapiro steps for a Josephson junction coupled to a finite-size transmission line resonator. We treat both problems through a circuit QED approach with a large, but finite number of photon modes. For the dual case, we do not assume the (approximate) charge-phase duality, but include the full multi-band dynamics for the Josephson junction. Mean-field equations within such Hamiltonian approach reproduce the result obtained through a dissipative classical equation when the number of transmission line modes is large enough. To account for quantum and thermal fluctuations, we go beyond the mean-field treatment within a truncated Wigner approach. The fluctuations are shown to modify both the direct and the dual steps. We show how the dual steps are very sensitive to these fluctuations and identify the key physical parameters for the junction and the transmission line controlling their robustness, which is essential for applications to close the quantum metrological triangle.

Related papers

• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Verifying the analogy between transversely coupled spin-1/2 systems and inductively-coupled fluxoniums [2.5586221134859426]
  We report a detailed characterization of two inductively coupled superconducting fluxonium qubits. Our circuit behaves very closely to the case of two transversely coupled spin-1/2 systems.
  arXiv  Detail & Related papers  (2024-07-22T08:07:35Z)
• Josephson bifurcation readout: beyond the monochromatic approximation [49.1574468325115]
  We analyze properties of bifurcation quantum detectors based on weakly nonlinear superconducting resonance circuits. This circuit can serve as an efficient detector of the quantum state of superconducting qubits.
  arXiv  Detail & Related papers  (2024-05-25T22:22:37Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Superconducting coupler with exponentially large on-off ratio [68.8204255655161]
  Tunable two-qubit couplers offer an avenue to mitigate errors in multiqubit superconducting quantum processors. Most couplers operate in a narrow frequency band and target specific couplings, such as the spurious $ZZ$ interaction. We introduce a superconducting coupler that alleviates these limitations by suppressing all two-qubit interactions with an exponentially large on-off ratio.
  arXiv  Detail & Related papers  (2021-07-21T03:03:13Z)
• Canonical quantisation of telegrapher's equations coupled by ideal nonreciprocal elements [0.0]
  We develop a systematic procedure to quantise canonically Hamiltonians of light-matter models of transmission lines. We prove that this apparent redundancy is required for the general derivation of the Hamiltonian for a wider class of networks. This theory enhances the quantum engineering toolbox to design complex networks with nonreciprocal elements.
  arXiv  Detail & Related papers  (2020-10-23T17:56:02Z)
• dc to ac Josephson transition in a dc atom superconducting quantum interference device [0.0]
  We analyze the effect of the barrier motion on the Bose-Hubbard Hamiltonian of a ring-shaped Bose-Einstein condensate interrupted by a pair of Josephson junctions. Such an effect is also shown to modify the Heisenberg equation of motion of the boson field operator.
  arXiv  Detail & Related papers  (2020-08-02T17:34:11Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits [0.0]
  We study a class of (1+1)D symmetric random quantum circuits with two competing types of measurements. The circuit exhibits a rich phase diagram involving robust symmetry-protected topological (SPT), trivial, and volume law entangled phases.
  arXiv  Detail & Related papers  (2020-04-15T18:00:00Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.