Exact dynamics of non-additive environments in non-Markovian open quantum systems

Abstract

When a quantum system couples strongly to multiple baths then it is generally no longer possible to describe the resulting system dynamics by simply adding the individual effects of each bath. However, capturing such multi-bath system dynamics has up to now required approximations that can obscure some of the non-additive effects. Here we present a numerically-exact and efficient technique for tackling this problem that builds on the time-evolving matrix product operator (TEMPO) representation. We test the method by applying it to a simple model system that exhibits non-additive behaviour: a two-level dipole coupled to both a vibrational and an optical bath. Although not directly coupled, there is an effective interaction between the baths mediated by the system that can lead to population inversion in the matter system when the vibrational coupling is strong. We benchmark and validate multi-bath TEMPO against two approximate methods - one based on a polaron transformation, the other on an identification of a reaction coordinate - before exploring the regime of simultaneously strong vibrational and optical coupling where the approximate techniques break down. Here we uncover a new regime where the quantum Zeno effect leads to a fully mixed state of the electronic system.

References in corpus (15)

• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Quantum Zeno dynamics: mathematical and physical aspects
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Input-output theory of cavities in the ultra-strong coupling regime: the case of a time-independent vacuum Rabi frequency
• Theory of the Franck-Condon blockade regime
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Correlation-dependent coherent to incoherent transitions in resonant energy transfer dynamics
• Quantum dot Rabi rotations beyond the weak exciton-phonon coupling regime
• Universal Markovian reduction of Brownian particle dynamics
• Using the Environment to Understand non-Markovian Open Quantum Systems
• Spontaneous emission from a quantum dot in a structured photonic reservoir: phonon-mediated breakdown of Fermi's golden rule
• Beyond Marcus theory and the Landauer-Buttiker approach in molecular junctions. II. A self-consistent Born approach
• Non-Markovian perturbation theories for phonon effects in strong-coupling cavity quantum electrodynamics
• Optimal power generation using dark states in dimers strongly coupled to their environment
• Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework

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