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Partial time-reversal transformation and entanglement negativity in fermionic systems
Hassan Shapourian, Ken Shiozaki, Shinsei Ryu
The partial transpose of density matrices in many-body quantum systems, in which one takes the transpose only for a subsystem of the full Hilbert space, has been recognized as a us…
Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries
Ken Shiozaki, Hassan Shapourian, Shinsei Ryu
We propose the definitions of many-body topological invariants to detect symmetry-protected topological phases protected by point group symmetry, using partial point group transfor…
Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions
Ken Shiozaki, Shinsei Ryu
Matrix Product States (MPSs) provide a powerful framework to study and classify gapped quantum phases --symmetry-protected topological (SPT) phases in particular--defined in one di…
Many-body topological invariants for fermionic symmetry-protected topological phases
Hassan Shapourian, Ken Shiozaki, Shinsei Ryu
We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-…
Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
Gil Young Cho, Ken Shiozaki, Shinsei Ryu +1
Quantum phase transitions out of a symmetry-protected topological (SPT) phase in (1+1) dimensions into an adjacent, topologically distinct SPT phase protected by the same symmetry…