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- W4385433382 abstract "We consider the quantum reaction-diffusion dynamics in $d$ spatial dimensions of a Fermi gas subject to binary annihilation reactions $A+A to emptyset$. These systems display collective nonequilibrium long-time behavior, which is signalled by an algebraic decay of the particle density. Building on the Keldysh formalism, we devise a field theoretical approach for the reaction-limited regime, where annihilation reactions are scarce. By means of a perturbative expansion of the dissipative interaction, we derive a description in terms of a large-scale universal kinetic equation. Our approach shows how the time-dependent generalized Gibbs ensemble assumption, which is often employed for treating low-dimensional nonequilibrium systems, emerges from systematic diagrammatics. It also allows to exactly compute -- for arbitrary spatial dimension -- the decay exponent of the particle density. The latter is based on the large-scale description of the quantum dynamics and it differs from the mean-field prediction even in dimension larger than one. We moreover consider spatially inhomogeneous setups involving an external potential. In confined systems the density decay is accelerated towards the mean-field algebraic behavior, while for deconfined scenarios the power-law decay is replaced by a slower non-algebraic decay." @default.
- W4385433382 created "2023-08-01" @default.
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- W4385433382 date "2023-07-27" @default.
- W4385433382 modified "2023-09-25" @default.
- W4385433382 title "Large-scale universality in Quantum Reaction-Diffusion from Keldysh field theory" @default.
- W4385433382 doi "https://doi.org/10.48550/arxiv.2307.14945" @default.
- W4385433382 hasPublicationYear "2023" @default.
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