Quantum renormalization of $${l_1}$$-norm and relative entropy of coherence in quantum spin chains

Balazadeh, Leila; Najarbashi, G.; Tavana, A.

doi:10.1007/s11128-020-02677-7

Cited by 3 publications

(1 citation statement)

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“…The QRG method is widely used to solve exactly the 1D Ising, XXZ, XYZ and XY models [20,46,47]. At zero temperature, the QRG method provides insights into how the block uncertainty and entanglement change as the size of the system becomes large in 1D spin chains.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Relation and Quantum Phase Transition in the Two-Dimensional Ising Model

Fang

Jiang

2022

Front. Phys.

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By using quantum renormalization group (QRG) approach, we first derive the effective Hamiltonian and QRG equations of the two-dimensional (2D) Ising models with two different time-dependent transverse magnetic fields analytically. Then we examine the nonanalytic and scaling behaviors of the linear-entropy-based uncertainty relation and quantum entanglement of the models near the critical point through numerical analysis. Moreover, we investigate the relation between the quantum critical point and the external magnetic field. Our results show that both the uncertainty relation and the quantum entanglement are feasible to detect the quantum phase transition (QPT), and the uncertainty relation may be a better indicator of QPT than quantum entanglement. Our findings could shed new light on the observable of the QPTs of the solid-state system with the uncertainty relation.

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Section: Introductionmentioning

confidence: 99%