Decoherence and relaxation of topological states in extended quantum Ising models

Abstract

We study the decoherence and the relaxation dynamics of topological states in an extended class of quantum Ising chains which can present a multidimensional ground state subspace. The leading interaction of the spins with the environment is assumed to be the local fluctuations of the transverse magnetic field. By deriving the Lindblad equation using the many-body states, we investigate the relation between decoherence, energy relaxation and topology. In particular, in the topological phase and at low temperature, we analyze the dephasing rates between the different degenerate ground states.

Dissipative Majorana Quantum Wires

“…This topological number needs to be not only well defined but also computable in our practical numerical simulations. A real-time dynamics of the model is also an interesting question, which is closely related to the decoherence problem in topological quantum computation and has been explored recently (Weisbrich et al., 2019). Last but not the least, our work also raises an interesting question whether non-trivial topological properties could exist only in a subsystem of reduced dimensionality spatially embedded in a larger non-topological system with an inhomogeneous Hamiltonian, and if so, how to identify this subsystem topological phases and what distinguishes them from the conventional topological matters.…”

Dissipative Topological Phase Transition with Strong System-Environment Coupling

“…A prerequisite to make the topological protection reliable is to understand dissipative properties of topological systems [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Energy bands play a pivotal role for topological matter, e.g., in studying topological phases [32][33][34][35] and topological criticalities [36][37][38].…”