Inequality for Strong-Weak Spontaneous Symmetry Breaking in Fermionic Open Quantum systems

• URL: http://arxiv.org/abs/2603.24671v1
• Date: Wed, 25 Mar 2026 18:00:05 GMT
• Title: Inequality for Strong-Weak Spontaneous Symmetry Breaking in Fermionic Open Quantum systems
• Abstract summary: We show through an inequality that a class of Rényi-2 correlators of the decohered fermion state are upper-bounded by the Rényi-2 correlator.<n>This inequality holds for arbitrary decoherence strength and suggests that decoherence drives fermionic quantum matter toward U(1) SW- SSB.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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. We show through an inequality that a class of Rényi-2 correlators of the decohered fermion state are upper-bounded by the Rényi-2 correlator serving as a proximate diagnostic of strong-weak spontaneous symmetry breaking (SW-SSB) of the charge-U(1) symmetry. This inequality holds for arbitrary decoherence strength and suggests that decoherence drives fermionic quantum matter toward U(1) SW-SSB. We also make connections between our inequality and other subjects such as projected quantum spin Hall insulator and Dirac spin liquid states.

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