Dissipative Dynamics in Open Fermionic Chains
arXiv:2303.02747 · doi:10.1142/S1230161224500112
Abstract
By merging the Feynman-Vernon's approach with the out-of-equilibrium Keldysh-Schwinger formalism, we construct the reduced generating functional through which all the time-dependent correlation functions of an open fermionic system can be directly derived by applying the appropriate functional derivatives. As a concrete example, we investigate the transverse Ising model, we derive the covariance matrix at the steady state of the system and we investigate its critical behavior.
21 pages, 1 figure
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