Imaginary-time evolution following a quantum quench between distinct symmetric phases Keola Wierschem ^{1*}, Ying-Jer Kao^{1}^{1}Department of Physics, National Taiwan University, Taipei, Taiwan* presenting author:Keola Wierschem, email:keola@phys.ntu.edu.tw Symmetry protected topological phases are a new class of distinct symmetric phases in the presence of a protecting symmetry. An early example of a nontrivial symmetry protected topological state is the ground state of the spin-1 Heisenberg antiferromagnet--the so-called Haldane phase. The Haldane phase is distinct from the symmetric product state of zero spin projection along the z axis that is adiabatically connected to the so-called large-D phase. In this work, we explore the imaginary-time evolution of an initial state in the large-D phase after a quantum quench into the Haldane phase and present details of a quantum Monte Carlo method that can easily be extended to studies in higher dimensions.
Keywords: Topological Phases of Matter, Nonequilibrium Dynamics, Quantum Monte Carlo, Quantum Magnetism, Quantum Quench |