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Lieb-Schultz-Mattis Theorem in Open Quantum Systems

Lieb-Schultz-Mattis Theorem in Open Quantum Systems

The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-body systems and plays a significant role in the Haldane gap phenomena and topological phases of matter. Here, we extend the LSM theorem to open quantum systems and establish a general theorem that restricts the steady state and spectral gap …