Abstract:The quantum phase crossover in a spin ladder model with fourspin exchange is investigated. Previous studies show that the crossover cannot be detected by the singularity or finite-size analysis of ground-state observables for finite ladders. In this work, we find that the first-excited-state fidelity shows a sudden drop exactly at the crossover point, regardless of the length of the ladder. It suggests that the excited-state fidelity for finite systems is very effective in detecting the crossover in infinite s… Show more
“…Recently the QPTs of the ladder have been studied through quantum information theory . The first‐order QPT points and are identified ambitiously by the sudden change of the entanglement concurrence ().…”
Section: Introductionmentioning
confidence: 99%
“…The critical point , which is a highly symmetric point of the system, is identified by the size‐independent extremal point of entanglement entropy (). In addition, recently we have found an effective way to identify the crossover point by analyzing the first‐excited state of the system (). Thus, in this paper, we will just pay our attention to the other two critical points and .…”
Section: Introductionmentioning
confidence: 99%
“…Recently the QPTs of the ladder have been studied through quantum information theory. [22,27,28] The firstorder QPT points θ 1 and θ 2 are identified ambitiously by the sudden change of the entanglement concurrence. [22] The critical point θ 4 , which is a highly symmetric point of the system, is identified by the size-independent extremal point of entanglement entropy.…”
Section: Introductionmentioning
confidence: 99%
“…[22] For the crossover point θ 6 , recently we have provided a very effective approach to identify its location by analyzing the first-excited state of the system. [28] Thus, in this paper, we will just pay our attention to the other two critical points θ 3 and θ 5 .…”
The singularity of quantum correlation has been widely regarded as a valuable indicator for quantum phase transition (QPT) in low‐dimensional quantum systems. In this paper, in a two‐leg spin ladder with ring exchange, the critical points of the system cannot be detected by analyzing the singularity of the quantum discord (a kind of quantum correlation). Instead, the discord exhibits a novel odd–even effect in the symmetry‐breaking (SB) regions, which can be used to detect the two critical points between the SB regions and the non‐SB regions. The underlying mechanism of the odd–even effect is explained.
“…Recently the QPTs of the ladder have been studied through quantum information theory . The first‐order QPT points and are identified ambitiously by the sudden change of the entanglement concurrence ().…”
Section: Introductionmentioning
confidence: 99%
“…The critical point , which is a highly symmetric point of the system, is identified by the size‐independent extremal point of entanglement entropy (). In addition, recently we have found an effective way to identify the crossover point by analyzing the first‐excited state of the system (). Thus, in this paper, we will just pay our attention to the other two critical points and .…”
Section: Introductionmentioning
confidence: 99%
“…Recently the QPTs of the ladder have been studied through quantum information theory. [22,27,28] The firstorder QPT points θ 1 and θ 2 are identified ambitiously by the sudden change of the entanglement concurrence. [22] The critical point θ 4 , which is a highly symmetric point of the system, is identified by the size-independent extremal point of entanglement entropy.…”
Section: Introductionmentioning
confidence: 99%
“…[22] For the crossover point θ 6 , recently we have provided a very effective approach to identify its location by analyzing the first-excited state of the system. [28] Thus, in this paper, we will just pay our attention to the other two critical points θ 3 and θ 5 .…”
The singularity of quantum correlation has been widely regarded as a valuable indicator for quantum phase transition (QPT) in low‐dimensional quantum systems. In this paper, in a two‐leg spin ladder with ring exchange, the critical points of the system cannot be detected by analyzing the singularity of the quantum discord (a kind of quantum correlation). Instead, the discord exhibits a novel odd–even effect in the symmetry‐breaking (SB) regions, which can be used to detect the two critical points between the SB regions and the non‐SB regions. The underlying mechanism of the odd–even effect is explained.
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