SciPost Submission Page
Dissipation-induced topological insulators: A no-go theorem and a recipe
by Moshe Goldstein
|As Contributors:||Moshe Goldstein|
|Submitted by:||Goldstein, Moshe|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
Dissipation has recently been recognized as means to generate, rather than destroy, nontrivial quantum states. Could these be topological? Here I give a general answer for Gaussian states and Lindblad evolution. I prove a no-go theorem stating that a finite-range Lindbladian cannot induce finite-rate exponential decay towards a unique topological pure state above 1D. I construct a recipe for creating such state by exponentially-local dynamics, or a mixed state arbitrarily close to the desired pure one via finite-range dynamics. I also discuss the cold-atom realization, classification, and detection of these states.