2-7 June 2019
Simon Fraser University
America/Vancouver timezone
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Light-cone like spreading of correlations in the Bose-Hubbard model at strong coupling

Jun 3, 2019, 2:00 PM
BLU 10011 (Simon Fraser University)

BLU 10011

Simon Fraser University

Oral Competition (Graduate Student) / Compétition orale (Étudiant(e) du 2e ou 3e cycle) Division of Atomic, Molecular and Optical Physics, Canada / Division de la physique atomique, moléculaire et photonique, Canada (DAMOPC-DPAMPC) M2-1 Interaction Between Matter and Light (DAMOPC) | Interaction de la matière et de la lumière (DPAMPC)


Matthew Fitzpatrick (Simon Fraser University)


We study the spreading of correlations in space and time after a quantum quench in the Bose Hubbard model. We derive equations of motion for the single-particle Green's function within the contour-time formalism, allowing us to study dynamics in the strong coupling regime. We discuss the numerical solutions of these equations and calculate the single-particle density matrix for quenches in the Mott phase. We demonstrate light-cone like spreading of correlations in the Mott phase in one, two, and three dimensions and calculate propagation velocities in each dimension. Our results show excellent agreement with existing results in one dimension and demonstrate the anisotropic spreading of correlations in higher dimensions. We also discuss how our results can be extended to disordered systems.

Primary authors

Matthew Fitzpatrick (Simon Fraser University) Dr MALCOLM KENNETT (SIMON FRASER UNIVERSITY)

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