Quantum simulation of multiphoton and nonlinear dissipative spin-boson models

Abstract

We present a framework for the realization of dissipative evolutions of spin-boson models, including multiphoton exchange dynamics, as well as nonlinear transition rates. Our approach is based on the implementation of a generalized version of a dissipative linear quantum Rabi model. The latter comprises a linearly coupled spin-boson term, spin rotations, and standard dissipators. We provide numerical simulations of illustrative cases supporting the good performance of our method. Our work allows for the simulation of a large class of fundamentally different quantum models where the effect of distinct dissipative processes can be easily investigated.

arXiv comment14 pages, 6 figs. Comments are welcome!

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• Distinctive class of dissipation-induced phase transitions and their universal characteristics
• Selective Interactions in the Quantum Rabi Model
• Distinguishing phases using the dynamical response of driven-dissipative light-matter systems
• Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
• Waveguide QED with Quadratic Light-Matter Interactions
• Two-photon-interaction effects in the bad-cavity limit
• Spin-boson model as a simulator of non-Markovian multiphoton Jaynes-Cummings models
• Two-photon Rabi-Stark model
• Stabilization of cat-state manifolds using nonlinear reservoir engineering
• Engineering nonlinear boson-boson interactions using mediating spin systems