5 papers
A Classifying Space for Phases of Matrix Product States
Daniel D. Spiegel, Marvin Qi, David T. Stephen +3
We construct a topological space consisting of translation invariant injective matrix product states (MPS) of all physical and bond dimensions and show that it has th…
Sequential Adiabatic Generation of Chiral Topological States
Xie Chen, Michael Hermele, David T. Stephen
In previous work, it was shown that non-trivial gapped states can be generated from a product state using a sequential quantum circuit. Explicit circuit constructions were given fo…
Excitation-detector principle and the algebraic theory of planon-only abelian fracton orders
Evan Wickenden, Wilbur Shirley, Agnès Beaudry +1
We study abelian planon-only fracton orders: a class of three-dimensional (3d) gapped quantum phases in which all fractional excitations are abelian particles restricted to move in…
Planon-modular fracton orders
Evan Wickenden, Marvin Qi, Arpit Dua +1
There are now many examples of gapped fracton models, which are defined by the presence of restricted-mobility excitations above the quantum ground state. However, the theory of fr…
Charting the space of ground states with tensor networks
Marvin Qi, David T. Stephen, Xueda Wen +4
We employ matrix product states (MPS) and tensor networks to study topological properties of the space of ground states of gapped many-body systems. We focus on families of states…