Global Quantum Discord in Transverse‐Field Ising Models on N  ×  N Square Lattices

2019 ◽  
Vol 256 (8) ◽  
pp. 1800666
Author(s):  
Zhao‐Yu Sun ◽  
Mu Zhou ◽  
Mei Wang ◽  
Jin Fu
Keyword(s):  
Quantum Discord ◽  
Transverse Field ◽  
Ising Models ◽  
Global Quantum Discord

FRUSTRATED TRANSVERSE ISING MODELS: A CLASS OF FRUSTRATED QUANTUM SYSTEMS

1992 ◽  
Vol 06 (14) ◽  
pp. 2439-2469 ◽  
Author(s):  
P. SEN ◽  
B. K. CHAKRABARTI
Keyword(s):  
Excited States ◽  
Transverse Field ◽  
Ising Models ◽  
Quantum Systems ◽  
Nearest Neighbour ◽  
Competing Interactions ◽  
Annni Model ◽  
Kirkpatrick Model ◽  
Transverse Fields ◽  
Exact Diagonalisation

The analytical and numerical (Monte Carlo and exact diagonalisation) estimates of phase diagrams of frustrated Ising models in transverse fields are discussed here. Specifically we discuss the Sherrington–Kirkpatrick model in transverse field and the Axial Next-Nearest Neighbour Ising (ANNNI) model in transverse field. The effects of quantum fluctuations (induced by the transverse field) on the ground and excited states of such systems with competing interactions (frustration) are also discussed. The results are compared to those available for other frustrated quantum systems.

Global quantum discord and thermal tensor network in XXZ chains at finite temperatures

2019 ◽  
Vol 565 ◽  
pp. 1-8 ◽  
Author(s):  
Long-hui Shen ◽  
Bin Guo ◽  
Zhao-yu Sun ◽  
Mei Wang ◽  
Yu-Ying Wu
Keyword(s):  
Quantum Discord ◽  
Tensor Network ◽  
Global Quantum Discord

scholarly journals QUANTUM DISCORD IN A SPIN SYSTEM WITH SYMMETRY BREAKING

2012 ◽  
Vol 26 (27n28) ◽  
pp. 1243002 ◽  
Author(s):  
BRUNO TOMASELLO ◽  
DAVIDE ROSSINI ◽  
ALIOSCIA HAMMA ◽  
LUIGI AMICO
Keyword(s):  
Phase Transition ◽  
Ground State ◽  
Quantum Discord ◽  
Control Parameter ◽  
Transverse Field ◽  
Xy Model ◽  
Temperature Phase ◽  
Universal Scaling ◽  
Low Temperature Phase ◽  
Temperature Phase Diagram

We analyze the quantum discordQ throughout the low temperature phase diagram of the quantum XY model in transverse field. We first focus on the T = 0 order–disorder quantum phase transition QPT both in the symmetric ground state and in the symmetry broken one. Beside it, we highlight how Q displays clear anomalies also at a noncritical value of the control parameter inside the ordered phase, where the ground state is completely factorized. We evidence how the phenomenon is in fact of collective nature and displays universal features. We also study Q at finite temperature. We show that, close to the QPT, Q exhibits quantum-classical crossover of the system with universal scaling behavior. We evidence a nontrivial pattern of thermal correlations resulting from the factorization phenomenon.

scholarly journals Geometric global quantum discord of two-qubit states

2016 ◽  
Vol 25 (3) ◽  
pp. 030301
Author(s):  
Yunlong Xiao ◽  
Tao Li ◽  
Shao-Ming Fei ◽  
Naihuan Jing ◽  
Zhi-Xi Wang ◽  
...  
Keyword(s):  
Quantum Discord ◽  
Qubit States ◽  
Global Quantum Discord

scholarly journals QUANTUM DISCORD AND RELATED MEASURES OF QUANTUM CORRELATIONS IN FINITE XY CHAINS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345033 ◽  
Author(s):  
N. CANOSA ◽  
L. CILIBERTI ◽  
R. ROSSIGNOLI
Keyword(s):  
Ground State ◽  
Quantum Discord ◽  
Nearest Neighbor ◽  
Full Range ◽  
Transverse Field ◽  
Quantum Correlations ◽  
Spin Chains ◽  
Crucial Importance ◽  
Spin Pairs ◽  
Fully Connected

We examine the quantum correlations of spin pairs in the ground state of finite XY chains in a transverse field, by evaluating the quantum discord as well as other related entropic measures of quantum correlations. A brief review of the latter, based on generalized entropic forms, is also included. It is shown that parity effects are of crucial importance for describing the behavior of these measures below the critical field. It is also shown that these measures reach full range in the immediate vicinity of the factorizing field, where they become independent of separation and coupling range. Analytical and numerical results for the quantum discord, the geometric discord and other measures in spin chains with nearest neighbor coupling and in fully connected spin arrays are also provided.

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