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arXiv · 2009.14805

Dynamical properties of a driven dissipative dimerized $S = 1/2$ chain

M. Yarmohammadi·C. Meyer·B. Fauseweh·B. Normand·G. S. Uhrig
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Abstract

We consider the dynamical properties of a gapped quantum spin system coupled to the electric field of a laser, which drives the resonant excitation of specific phonon modes that modulate the magnetic interactions. We deduce the quantum master equations governing the time-evolution of both the lattice and spin sectors, by developing a Lindblad formalism with bath operators providing an explicit description of their respective phonon-mediated damping terms. We investigate the nonequilibrium steady states (NESS) of the spin system established by a continuous driving, delineating parameter regimes in driving frequency, damping, and spin-phonon coupling for the establishment of physically meaningful NESS and their related non-trivial properties. Focusing on the regime of generic weak spin-phonon coupling, we characterize the NESS by their frequency and wave-vector content, explore their transient and relaxation behavior, and discuss the energy flow, the system temperature, and the critical role of the type of bath adopted. Our study lays a foundation for the quantitative modelling of experiments currently being designed to control coherent many-body spin states in quantum magnetic materials.

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M. Yarmohammadi, C. Meyer, B. Fauseweh, B. Normand, G. S. Uhrig. 2020-09-30. Dynamical properties of a driven dissipative dimerized $S = 1/2$ chain. https://doi.org/10.1103/physrevb.103.045132

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