Reminiscence of classical chaos in driven transmons

• URL: http://arxiv.org/abs/2207.09361v2
• Date: Thu, 10 Nov 2022 14:58:05 GMT
• Title: Reminiscence of classical chaos in driven transmons
• Authors: Joachim Cohen, Alexandru Petrescu, Ross Shillito, Alexandre Blais
• Abstract summary: We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
• Score: 117.851325578242
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Transmon qubits are ubiquitously used in superconducting quantum information processor architectures. Strong drives are required to realize fast, high-fidelity, gates and measurements, including parametrically activated processes. Here, we show that even off-resonant drives, in regimes routinely used in experiments, can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Accounting for the full nonlinear dynamics of the transmon in a Floquet-Markov formalism, we find that these chaotic states, often neglected through the hypothesis that the anharmonicity is weak, strongly impact the lifetime of the transmon's computational states. In particular, we observe that chaos-assisted quantum phase slips greatly enhance band dispersions. In the presence of a measurement resonator, we find that approaching chaotic behavior correlates with strong transmon-resonator hybridization, and an average resonator response centered on the bare resonator frequency. These results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects during strong-drive operations such as dispersive qubit readout. The phenomena described here are expected to be present in all circuits based on low-impedance Josephson-junctions.

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)
• Measurement-Induced Transmon Ionization [69.65384453064829]
  We develop a comprehensive framework which provides a physical picture of the origin of transmon ionization. This framework identifies the multiphoton resonances responsible for transmon ionization. It also allows one to efficiently compute numerical estimates of the photon number threshold for ionization.
  arXiv  Detail & Related papers  (2024-02-09T18:46:50Z)
• Chaotic fluctuations in a universal set of transmon qubit gates [37.69303106863453]
  Transmon qubits arise from the quantization of nonlinear resonators. Fast entangling gates, operating at speeds close to the so-called quantum speed limit, contain transient regimes where the dynamics indeed becomes partially chaotic for just two transmons.
  arXiv  Detail & Related papers  (2023-11-24T16:30:56Z)
• Smoking-gun signatures of non-Markovianity of a superconducting qubit [0.0]
  We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. We show how a circuit Hamiltonian can be derived for transverse noise affecting the qubit.
  arXiv  Detail & Related papers  (2023-02-17T19:00:06Z)
• Dissipation and Dephasing of Interacting Photons in Transmon Arrays [0.0]
  Transmon arrays are one of the most promising platforms for quantum information science. We present here the primary consequences of single-transmon dissipation and dephasing to the many-body dynamics of transmon arrays. We show that the state-of-the-art transmon arrays should be ready for the task of demonstrating coherent many-body dynamics using the higher excited states.
  arXiv  Detail & Related papers  (2023-01-17T17:20:12Z)
• 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)
• Dynamics of Transmon Ionization [94.70553167084388]
  We numerically explore the dynamics of a driven transmon-resonator system under strong and nearly resonant measurement drives. We find clear signatures of transmon ionization where the qubit escapes out of its cosine potential.
  arXiv  Detail & Related papers  (2022-03-21T18:00:15Z)
• Optimization of the resonator-induced phase gate for superconducting qubits [0.0]
  We study the physics of weakly anharmonic transmon qubits coupled to linear resonators. We show this type of leakage can be substantially suppressed using very weakly anharmonic transmons.
  arXiv  Detail & Related papers  (2021-10-04T21:27:02Z)
• Subdiffusion via Disordered Quantum Walks [52.77024349608834]
  We experimentally prove the feasibility of disordered quantum walks to realize a quantum simulator that is able to model general subdiffusive phenomena. Our experiment simulates such phenomena by means of a finely controlled insertion of various levels of disorder during the evolution of the walker. This allows us to explore the full range of subdiffusive behaviors, ranging from anomalous Anderson localization to normal diffusion.
  arXiv  Detail & Related papers  (2020-07-24T13:56:09Z)

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.