Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
N Seiberg, S Seifnashri, SH Shao - SciPost Physics, 2024 - scipost.org
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
Defining stable phases of open quantum systems
The steady states of dynamical processes can exhibit stable nontrivial phases, which can
also serve as fault-tolerant classical or quantum memories. For Markovian quantum …
also serve as fault-tolerant classical or quantum memories. For Markovian quantum …
Reviving the Lieb–Schultz–Mattis theorem in open quantum systems
In closed systems, the celebrated Lieb–Schultz–Mattis (LSM) theorem states that a one-
dimensional locally interacting half-integer spin chain with translation and spin rotation …
dimensional locally interacting half-integer spin chain with translation and spin rotation …
Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
D Gu, Z Wang, Z Wang - arXiv preprint arXiv:2406.19381, 2024 - arxiv.org
Depending on the coupling to the environment, symmetries of open quantum systems
manifest in two distinct forms, the strong and the weak. We study the spontaneous symmetry …
manifest in two distinct forms, the strong and the weak. We study the spontaneous symmetry …
Anomalies of average symmetries: Entanglement and open quantum systems
A bstract Symmetries and their anomalies are powerful tools for understanding quantum
systems. However, realistic systems are often subject to disorders, dissipation and …
systems. However, realistic systems are often subject to disorders, dissipation and …
Intrinsic symmetry-protected topological mixed state from modulated symmetries and hierarchical structure of boundary anomaly
Y You, M Oshikawa - Physical Review B, 2024 - APS
We introduce a class of intrinsic symmetry-protected topological mixed state (mSPT) in open
quantum systems that feature modulated symmetries, such as dipole and subsystem …
quantum systems that feature modulated symmetries, such as dipole and subsystem …
Symmetry protected topological phases of mixed states in the doubled space
R Ma, A Turzillo - arXiv preprint arXiv:2403.13280, 2024 - arxiv.org
The interplay of symmetry and topology in quantum many-body mixed states has recently
garnered significant interest. In a phenomenon not seen in pure states, mixed states can …
garnered significant interest. In a phenomenon not seen in pure states, mixed states can …
Topologically ordered steady states in open quantum systems
The interplay between dissipation and correlation can lead to novel emergent phenomena
in open systems. Here we investigate" steady-state topological order" defined by the robust …
in open systems. Here we investigate" steady-state topological order" defined by the robust …
Detecting quantum anomalies in open systems
Y Zang, Y Gu, S Jiang - Physical Review Letters, 2024 - APS
Symmetries and quantum anomalies serve as powerful tools for constraining complicated
quantum many-body systems, offering valuable insights into low-energy characteristics …
quantum many-body systems, offering valuable insights into low-energy characteristics …
Decoherence and wavefunction deformation of non-Abelian topological order
The effect of decoherence on topological order (TO) has been most deeply understood for
the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be …
the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be …