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2024

Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators

Liu, Zeyu, Chen, Langxuan, Zhang, Yuke et al.

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Symmetry plays a fundamental role in quantum many-body physics, and a central concept is spontaneous symmetry breaking, which imposes crucial constraints on the possible quantum phases and their transitions.

Recent developments have extended the discussion of symmetry and its breaking to mixed states, enhancing our understanding of novel quantum phases that have no counterpart in pure states.
Specific attention has been paid to scenarios where a strongly symmetric density matrix exhibits spontaneous symmetry breaking to weak symmetry, characterized by the fidelity correlator.
In this work, we propose the Wightman correlator as an alternative diagnostic tool.

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Y. Gu, A. Kitaev, S. Sachdev, and G. Tarnopolsky, Notes on the complex Sachdev-Ye-Kitaev model, JHEP 02
Original
1910
Earlier work this paper cites.
A. Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rept. Math. Phys. 3
1972
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl. 10
1975
Earlier work this paper cites.
W. Israel, Thermo field dynamics of black holes, Phys. Lett. A 57
1976
Earlier work this paper cites.
R. Bhatia, Matrix Analysis , Vol. 169 (Springer, 1997)
1997
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, J. Math. Phys. 43
2002
Earlier work this paper cites.
C. Wang, J. Harrington, and J. Preskill, Confinement Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory, Annals Phys. 303
2003
Earlier work this paper cites.
M. Mezard and A. Montanari, Information, physics, and computation (Oxford University Press, 2009)
2009
Earlier work this paper cites.
B. Buca and T. Prosen, A note on symmetry reductions of the Lindblad equation: Transport in constrained open spin chains, New J. Phys. 14
Original
2012
Earlier work this paper cites.

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