797 citations · 2.3k across the 21 of their papers we have counts for
3 papers · 2 filters
Elementary excitations in gapped quantum spin systems
Jutho Haegeman, Spyridon Michalakis, Bruno Nachtergaele +3
For quantum lattice systems with local interactions, the Lieb-Robinson bound acts as an alternative for the strict causality of relativistic systems and allows to prove many intere…
Quantization of Hall Conductance For Interacting Electrons on a Torus
Matthew B. Hastings, Spyridon Michalakis
We consider interacting, charged spins on a torus described by a gapped Hamiltonian with a unique groundstate and conserved local charge. Using quasi-adiabatic evolution of the gro…
Stability of local quantum dissipative systems
Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis +1
Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called…