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Temperature dependence of entanglement of purification in the presence of a chemical potential

机译:在化学潜力存在下纯化纠缠的温度依赖性

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Using the holographic idea, we study the entanglement of purification in a field theory with a critical point in an intermediate and low temperature regime. This theory includes temperature T as well as chemical potential μ . In the intermediate regime, due to chemical potential, we observe that new terms proportional to temperature square appear in the final result of entanglement of purification or equivalently, apart from T 0 and T 4 terms in the case of μ = 0 , it contains the terms proportional to T 2 . Our results also indicate that the entanglement of purification, i.e., the correlation between subsystems, can decrease or increase depending on the value of μ T when the other parameters are kept fixed. However, in the low temperature limit, the correlation always decreases, compared to the μ = 0 case, independent of the value of μ T when the other parameters do not alter. The existence of a critical point in the theory changes the behavior of entanglement of purification in such a way that the entanglement of purification experiences a maximum or minimum. Moreover, near the critical point, we analytically show that the critical exponent is equal to 0.5 in both regimes and also the term proportional to T 2 changes sign and becomes negative in the intermediate regime.
机译:利用全息理念,我们研究了中间和低温方案中的临界点的场理论中净化的纠缠。该理论包括温度T以及化学势μ。在中间制度中,由于化学潜力,我们观察到与温度正方形成比例的新术语出现在纯化的缠结的最终结果中或等效,除了μ= 0的情况下,它包含术语与t 2成比例。我们的结果还表明,纯化的缠结,即子系统之间的相关性,可以根据μT保持固定的μT的值来减小或增加。然而,在低温限制中,与μ= 0案例相比,相关性总是减小,而不是当其他参数不改变时μT的值。理论中的临界点的存在改变了纯化缠结的行为,使得净化的缠结经历最大或最小。此外,在临界点附近,我们分析表明,在两个制度中,临界指数等于0.5,并且还与T 2变化的术语成比例,在中间方案中变为负。

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