Robust approach to study the effect on quantum phase transitions of various perturbations at finite temperatures

Multipartite entanglement serves as a faithful detector for quantum phase transitions

“…However, for this CP, E v 2 exhibits a smooth curve behavior, as shown in figure 1(b), and its derivative does not exhibit any singularity (see the inset of figure 1(b)); thus, it cannot reflect the BKT-type transition. This result is in agreement with the results of the transfermatrix renormalization-group (TMRG) in [30].…”

“…We must emphasize that both QD and EOF can indeed reflect phase transitions in the XXZ model, and the corresponding findings have been published in references [30,56]. However, our primary objective was to demonstrate the broader applicability of residual entanglement as a detector for QPTs compared to other detection methods.…”

“…These include the von Neumann entropy [19,20], entanglement of formation (EOF) [21][22][23], quantum fidelity [24,25], quantum discord (QD) [26,27], quantum coherence (QC) based on Wigner and Yanase skewed information [28][29][30], steered QC [31], and magic resource [32,33]. However, these proposed detectors have limitations in detecting certain types of QPTs [29,30,34,35], such as in detecting the Berezinskii-Kosterlitz-Thouless (BKT)-type QPT in the XXZ model. Finding an effective and universally applicable detector for all kinds of QPTs has always been a goal of researchers [20,31,34,36].…”

“…Subsequently, many detectors borrowed from quantum information science are used to characterize quantum criticality. These include the von Neumann entropy [19,20], entanglement of formation (EOF) [21][22][23], quantum fidelity [24,25], quantum discord (QD) [26,27], quantum coherence (QC) based on Wigner and Yanase skewed information [28][29][30], steered QC [31], and magic resource [32,33]. However, these proposed detectors have limitations in detecting certain types of QPTs [29,30,34,35], such as in detecting the Berezinskii-Kosterlitz-Thouless (BKT)-type QPT in the XXZ model.…”

The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model

“…All these afore mentioned studies require the initial ground or thermal equilibrium state of the system in which there is no quantum coherence. In the quantum realm, quantum coherence will undoubtedly play a fundamental role, for instance it is strictly related to the irreversible work [63][64][65][66][67][68] and it leads a genuine quantum contribution to quantum critical phenomena [68][69][70][71][72][73][74]. Very recently, a clear connection among coherent signatures, enhanced work extraction and the critical behaviors in quadratic fermionic systems has been found via the Kirkwood-Dirac quasiprobability approach [75].…”