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Open Quantum Systems Decoherence

Fast mixing of weakly interacting fermionic systems at any temperature

arXiv
Authors: Yu Tong, Yongtao Zhan

Year

2024

Paper ID

279

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

We study the mixing time of a recently proposed efficiently implementable Lindbladian designed to prepare the Gibbs states in the setting of weakly interacting fermionic systems. We show that at any temperature, the Lindbladian spectral gap for even parity observables is lower bounded by a constant that is independent of the system size, when the interaction strength (e.g., the on-site interaction strength for the Fermi-Hubbard model) is below a constant threshold, which is also independent of the system size. This leads to a mixing time estimate that is at most linear in the system size, thus showing that the corresponding Gibbs states can be prepared efficiently on quantum computers.

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  • We study the mixing time of a recently proposed efficiently implementable Lindbladian designed to prepare the Gibbs states in the setting of weakly interacting fermionic systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2501.00443 [2] arXiv https://arxiv.org/abs/2501.00443 [3] Publisher https://arxiv.org/abs/2501.00443

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