Steady-state susceptibility in continuous phase transitions of dissipative systems

• URL: http://arxiv.org/abs/2201.04430v2
• Date: Sat, 28 May 2022 14:17:29 GMT
• Title: Steady-state susceptibility in continuous phase transitions of dissipative systems
• Authors: Xingli Li, Yan Li and Jiasen Jin
• Abstract summary: We find that the susceptibilities of fidelity and trace distance exhabit singular behaviors near the critical points of phase transitions in both models. The critical points, in thermodynamic limit, extracted from the scalings of the critical controlling parameters to the system size or nonlinearity agree well with the existed results.
• Score: 3.0429703764855343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we explore the critical behaviors of fidelity susceptibility and trace distance susceptibility associated to the steady states of dissipative systems at continuous phase transitions. We investigate on two typical models, one is the dissipative spin-1/2 XYZ model on two-dimensional square lattice and the other is a driven-dissipative Kerr oscillator. We find that the susceptibilities of fidelity and trace distance exhabit singular behaviors near the critical points of phase transitions in both models. The critical points, in thermodynamic limit, extracted from the scalings of the critical controlling parameters to the system size or nonlinearity agree well with the existed results.

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