Year: 2024
Type: article
Abstract: We focus on the biorthogonal work statistics of the interacting many-body Hatano-Nelson model after switching on the imaginary vector potential. We introduce a generalized Loschmidt echo $G(t)$ using the biorthogonal metric operator whose Fourier transform yields the probability distribution of work done. The statistics of work displays several universal features, including an exponential decay with the square of both the system size and imaginary vector potential for the probability to stay in the ground state. Additionally, its high-energy tail follows a universal power law with exponent $\ensuremath{-}3$. This originates from the peculiar temporal power-law decay of $G(t)$ with a time-dependent exponent, corresponding to an unusual orthogonality catastrophe. The mean and the variance of work scale linearly and logarithmically with system size, while all higher cumulants are nonextensive. Our results are relevant for nonunitary field theories as well.
Authors: Balázs Dóra, Cătălin Paşcu Moca
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: Ministerul Cercetării, Inovării şi Digitalizării, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Colegiul Consultativ pentru Cercetare-Dezvoltare şi Inovare, National Research, Development and Innovation Office
OpenAlex ID: W4402640923