Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 21: Focus Session: Quantum Dynamics of Kinetically Constrained Many-Body Systems (joint session TT/DY)

TT 21.7: Talk

Tuesday, April 2, 2019, 12:30–12:45, H2

Hamiltonian systems with charge and dipole conservation far from equilibrium — •Pablo Sala, Tibor Rakovszky, Ruben Verresen, Michael Knap, and Frank Pollmann — Technische Universität München, Physics Department T42, 85747 Garching, Germany

Recently so-called fracton phases, which are characterized by excitations with restricted mobility, have been discovered. The mobility constraints are related to the conservation of a U(1) charge and its associated dipole moment. Motivated by results on random unitary circuits [1], we study one dimensional spin-1/2 and spin-1 Hamiltonian systems conserving these two intertwined quantities and consider the implications of a U(1) local gauge invariance. We investigate the effects of these conservation laws on the dynamics, and the implications for higher dimensional systems following the same construction.
S. Pai, M. Pretko and R. M. Nandkishore. arXiv:1807.09776 [cond-mat.stat-mech]