Simulation of Relativistic Field Theories
Several many body systems at low-energy can support the propagation of excitations with relativistic dispersion, either in a flat or curved spacetime. So even starting from non-relativistic equations one can show that excitations are endowed with a Lorentz invariant dynamics where the Lorentz group is generally associated with an invariant speed coinciding with the speed of sound. We are interested in the simulation of relativistic field theories for applications to synthetic materials in low dimensions interacting with external fields.
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2) L. Bucciantini, S. Sotiriadis and T. Macrì, Probing Klein tunneling through quantum quenches, J. Phys. A: Math. Theor. 49 025002 (2015).
3) Y. Pará, V. S. Alves, T. Macrì, E. C. Marino, L. O. Nascimento, Bosonic interactions in a nonlocal theory in (2+1) dimensions, Phys. Rev. D 100, 085010 (2019).
4) Y. Pará, G. Palumbo, T. Macrì, Probing non-Hermitian phase transitions in curved space via quench dynamics. arXiv:2012.07909 (2020).