Dynamics and transport in the boundary-driven dissipative Klein-Gordon chain

Article

关键词: PATTERN-FORMATION;    ENERGY-TRANSPORT;    BREATHERS;   

DOI  :  10.1103/PhysRevB.107.104304

来源: SCIE

【 摘 要 】

Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary driving is increased, this minimal classical model recovers the main features of the dissipative phase transition seen experimentally. Between the transmitting and nontransmitting regimes on either side of this transition (which support ballistic and diffusive energy transport, respectively), we observe additional dynamical regimes of interest. These include a regime of superdiffusive energy transport at weaker driving strengths, together with a resonant nonlinear wave regime at stronger driving strengths, which is characterized by emergent translation symmetry, ballistic energy transport, and coherent oscillations of a nonlinear normal mode. We propose a nonlocal Lyapunov exponent as an experimentally measurable diagnostic of many-body chaos in this system, and more generally in open systems that are only coupled to an environment at their boundaries.

【 授权许可】

Free