Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems

• URL: http://arxiv.org/abs/2202.02680v1
• Date: Sun, 6 Feb 2022 02:01:26 GMT
• Title: Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
• Authors: Xiaohui Qian, Zhe Sun, and Nengji Zhou
• Abstract summary: We numerically investigate quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions. With several measures borrowed from quantum information theory, three different types of singularities are found for the first-order, second-order, and Kosterlitz-Thouless phase transitions. The scaling form of the quantum discord in the Ohmic case is identified, quite different from that in the sub-Ohmic regime.
• Score: 6.564294282164792
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By employing the spin-boson model in a dense limit of environmental modes, quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions are numerically investigated based on the variational principle. With several measures borrowed from quantum information theory, three different types of singularities are found for the first-order, second-order, and Kosterlitz-Thouless phase transitions, respectively, and the values of transition points and critical exponents are accurately determined. Besides, the scaling form of the quantum discord in the Ohmic case is identified, quite different from that in the sub-Ohmic regime. In a two-spin model, two distinct behaviors of the quantum discord are uncovered: one is related to the quantum entanglement between two spins and the other is decided by the correlation function in the position space rather than the entanglement.

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