Work

Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities

Year: 2026

Type: article

Abstract: Nonlinear classical mechanics has established rich phenomena. These include limit tori defined by toroidal attractors supporting quasiperiodic motion with incommensurate frequencies. We study the fate of such structures in open quantum systems using two coupled driven-dissipative Kerr cavities modeled via the Lindblad master equation. Combining Liouvillian spectral theory with the truncated Wigner approximation, we characterize the quantum-to-classical crossover. In the classical limit, two pairs of purely imaginary Liouvillian eigenvalues signal persistent quasiperiodic modes. Quantum fluctuations induce small negative real parts to these eigenvalues, giving rise to finite lifetimes and leading to the of the torus. The associated Liouvillian gaps vanish algebraically in the classical limit, indicating a dynamical critical crossover with spontaneous breaking of time-translational symmetry. Quantum trajectory analysis reveals that this melting is driven by fluctuation-induced dephasing. Using a circular-variance-based order parameter, we uncover universal scaling in system size and time. These results establish quantum melting of limit tori as a distinct and robust nonequilibrium critical phenomenon, with clear experimental signatures in trapped ions and superconducting circuits.

Source: Physical Review A

DOI: 10.1103/pdnh-1yxs

Authors: Caroline Nowoczyn, Ludwig Mathey, Kilian Seibold

Institutions: Universität Hamburg, Hamburg Centre for Ultrafast Imaging, University of Konstanz

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,675

Funders: Deutsche Forschungsgemeinschaft, European Regional Development Fund