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Inequality for Strong-Weak Spontaneous Symmetry Breaking in Fermionic Open Quantum systems
Abhijat Sarma, Cenke Xu
Under decoherence, an initial Gaussian (free-fermion) state evolves into a non-Gaussian mixed state, so the resulting decohered fermionic state is not exactly solvable in general.…
Strong-to-weak spontaneous breaking of 1-form symmetry and intrinsically mixed topological order
Carolyn Zhang, Yichen Xu, Jian-Hao Zhang +3
Topological orders in 2+1d are spontaneous symmetry-breaking (SSB) phases of 1-form symmetries in pure states. The notion of symmetry is further enriched in the context of mixed st…
Strong-to-Weak Symmetry Breaking in Open Quantum Systems: From Discrete Particles to Continuum Hydrodynamics
Jacob Hauser, Kaixiang Su, Hyunsoo Ha +6
We explore the onset of spontaneous strong-to-weak symmetry breaking (SW-SSB) under U(1)-symmetric (i.e., charge-conserving) open-system dynamics. We define this phenomenon for qua…
Fluctuation-Dissipation Theorem and Information Geometry in Open Quantum Systems
Jian-Hao Zhang, Cenke Xu, Yichen Xu
We propose a fluctuation-dissipation theorem in open quantum systems from an information-theoretic perspective. We define the fidelity susceptibility that measures the sensitivity…