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Št. zadetkov: 2
Transfer matrix approach to quantum systems subject to certain Lindblad evolution
Junaid Majeed Bhat, Marko Žnidarič
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Oznake: kvantna mehanika;kvantni večdelčni sistemi;enodimenzionalne spinske verige;difuzija;quantum mechanics;quantum many-body systems;1-dimensional spin chains;diffusion;
Solving for the time evolution of a many particle system whose dynamics is governed by Lindblad equation is hard. We extend the use of the transfer matrix approach to a class of Lindblad equations that admit a closed hierarchy of two point correlators. An example that we treat is the XX spin chain, ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Boom and bust cycles due to pseudospectra of matrices with unimodular spectra
Junaid Majeed Bhat, Jaš Bensa, Marko Žnidarič
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Oznake: psevdospekter;nenormalna matrika;eksponentna rast;pseudospectrum;non-normal matrices;expnential growth;
We discuss dynamics obtained by increasing powers of non-normal matrices that are roots of the identity and therefore have all eigenvalues on the unit circle. Naively, one would expect that the matrix elements of high powers of the matrix asymptotically cannot grow as one increases the power. We dem ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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