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Quantum reaction-diffusion dynamics

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The talk will be about the recent formulation and the study of quantum reaction-diffusion dynamics. In the classical formulation of the reaction diffusion dynamics, particles undergo diffusion and react upon meeting according to different possible reaction rules. In the talk, I will then present the formulation of quantum reaction-diffusion dynamics by considering the quantum nonequilibrium dynamics of systems where fermionic particles coherently hop on a one-dimensional lattice and are subject to dissipative processes analogous to those of classical reaction diffusion models.

Remarkably, the quantum reaction-diffusion dynamics can be analytically solved in the so-called reaction-limited regime by exploiting the time dependent generalized Gibbs ensemble method. Here, spatial density fluctuations are quickly smoothed out due to fast hopping, which for classical systems is described by a mean-field approach. I demonstrate that in the quantum case this is not the case and collective behavior beyond mean-field can manifest both at stationarity, when an absorbing-state phase transition takes place, and during the relaxation dynamics. I will also discuss ongoing progresses in the formulation and the derivation of these results concerning quantum reaction-diffusion dynamics via Keldysh field-theory techniques.

Refs.: [1] G. Perfetto, F. Carollo, J. P. Garrahan, I. Lesanovsky. Phys. Rev. Lett. 130, 210402 (2023). [2] G. Perfetto, F. Carollo, J. P. Garrahan, I. Lesanovsky. arXiv:2305.06944 (2023) (to appear in Phys. Rev. E). [3] F. Gerbino, I. Lesanovsky, G. Perfetto. arXiv:2307.14945 (2023). + work in progress…

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