Work

Kicked Fluxonium with a Quantum Strange Attractor

Year: 2026

Type: article

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 using the density matrix within the framework of the Lindblad equation. In the case of dissipative quantum evolution, the steady-state density matrix is converged to a quantum strange attractor that is similar to the classical one. It is shown that depending on the dissipation strength, there is a regime when the eigenstates of the density matrix are localized at a strong or moderate dissipation. At weak dissipation, the eigenstates are argued to be delocalized, which is linked to the Ehrenfest explosion of the quantum wave packet. This phenomenon is related to the Lyapunov exponent and Ehrenfest time for the quantum strange attractor. Possible experimental realizations of this quantum strange attractor with fluxonium are discussed.

Source: Physics

DOI: 10.3390/physics8010022

Authors: Alexei D. Chepelianskii, Dima L. Shepelyansky

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Laboratoire de physique des Solides, Laboratoire de Physique Théorique, Université de Toulouse

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,689

Funder: Agence Nationale de la Recherche