Symmetry-Protected Topological Edge Modes and Emergent Partial Time-Reversal Symmetry Breaking in Open Quantum Many-Body Systems

Symmetry-protected topological edge modes are one of the most remarkable phenomena in physics. Here, we formulate and quantitatively examine effect a quantum bath on these modes. Using density matrix renormalization group method, study ground state composite system spin-1 chain, where degrees freedom treated same footing. We focus dependence global/partial symmetries system-bath coupling features bath. It is shown that time-reversal symmetry(TRS) plays special role for an open system, emergent partial TRS breaking will result TRS-protected mode diffusing from into bath, thus make it useless computation.