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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

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

arXiv

Authors: Abhijat Sarma, Cenke Xu

Year

2026

Paper ID

35697

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

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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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.24671 [2] arXiv https://arxiv.org/abs/2603.24671 [3] Publisher https://arxiv.org/abs/2603.24671

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