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

Prem, Abhinav; Bulchandani, Vir B.; Sondhi, S. L.

doi:10.1103/physrevb.107.104304

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

Journal Article · 16 March 2023 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.107.104304 · OSTI ID:1961843

^[1]; Bulchandani, Vir B. ^[2]; Sondhi, S. L. ^[3]

Princeton Univ., NJ (United States); Inst. for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
Princeton Univ., NJ (United States)
Univ. of Oxford (United Kingdom)

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 non-transmitting 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 "dissipative breather crystal" regime at stronger driving strengths, which is characterized by emergent translation symmetry, ballistic energy transport, and coherent oscillations of a nonlinear normal mode. Here, we propose a non-local 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.

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Research Organization:: Inst. for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0009988

OSTI ID:: 1961843

Alternate ID(s):: OSTI ID: 2222877

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 10 Vol. 107; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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