Kicked fluxonium with quantum strange attractor
arXiv:2512.18644 · doi:10.3390/physics8010022
Abstract
The quantum dissipative time evolution of a fluxonium under a pulsed field (kicks) is studied numerically and analytically. In the classical limit the system dynamics is converged to a strange chaotic attractor. The quantum properties of this system are studied for the density matrix in the frame of Lindblad equation. In the case of dissipative quantum evolution the steady-state density matrix is converged to a quantum strange attractor being similar to the classical one. It is shown that depending on the dissipation strength there is a regime when the eigenstates of density matrix are localized at a strong or moderate dissipation. At a weak dissipation the eigenstates are argued to be delocalized being linked to the Ehrenfest explosion of quantum wave packet. This phenomenon is related with the Lyapunov exponent and Ehrenfest time for the quantum strange attractor. Possible experimental realisations of this quantum strange attractor with fluxonium are discussed.
8 pages, 6 figs
References in corpus (21)
- A computable measure of entanglement
- Area laws for the entanglement entropy - a review
- Quantum state engineering with Josephson-junction devices
- Quantum information processing with superconducting circuits: a review
- Fluxonium: single Cooper pair circuit free of charge offsets
- A simple model of quantum trajectories
- Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
- Fluxonium: an alternative qubit platform for high-fidelity operations
- Nanowire Superinductance Fluxonium Qubit
- Scalable High-Performance Fluxonium Quantum Processor
- Quantum control of a cat-qubit with bit-flip times exceeding ten seconds
- Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections
- Web-assisted tunneling in the kicked harmonic oscillator
- Quantum resonances in an atom-optical delta-kicked harmonic oscillator
- Squeezed state dynamics of kicked quantum systems
- Diffusion and localization for the Chirikov typical map
- Dissipative quantum chaos: transition from wave packet collapse to explosion
- Dynamical Properties of the Delta Kicked Harmonic Oscillator
- Gatemonium: A Voltage-Tunable Fluxonium
- Probing Dynamical Sensitivity of a Non-KAM System Through Out-of-Time-Order Correlators
- Quantum synchronization and entanglement of dissipative qubits coupled to a resonator