# Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain

@inproceedings{Thoenniss2022NonequilibriumQI, title={Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain}, author={Julian Thoenniss and Alessio Lerose and Dmitry A. Abanin}, year={2022} }

Describing a quantum impurity coupled to one or more non-interacting fermionic reservoirs is a paradigmatic problem in quantum many-body physics. While historically the focus has been on the equilibrium properties of the impurity-reservoir system, recent experiments with mesoscopic and cold-atomic systems enabled studies of highly non-equilibrium impurity models, which require novel theoretical techniques. We propose an approach to analyze impurity dynamics based on the matrix-product state…

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Beyond The Fermi's Golden Rule: Discrete-Time Decoherence Of Quantum Mesoscopic Devices Due To Bandlimited Quantum Noise

- Physics, Computer Science
- 2022

Inspired by the Kotelnikov sampling theorem from the theory of classical bandlimited signals, the idea that the real-time dissipative quantum motion has a natural structure of a discrete-time matrix product state, with a bounded bond dimension is explored and yields a microscopically derived collision model.

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