Local quantum Fisher information and one-way quantum deficit in spin-1/2 XX Heisenberg chain with three-spin interaction

2020 ◽  
Vol 18 (04) ◽  
pp. 2050016 ◽  
Author(s):  
Biao-Liang Ye ◽  
Bo Li ◽  
Xiao-Bin Liang ◽  
Shao-Ming Fei
Keyword(s):  
Phase Transitions ◽  
Fisher Information ◽  
Quantum Phase Transitions ◽  
Quantum Fisher Information ◽  
Quantum Fluctuations ◽  
Quantum Phase ◽  
Spin Interaction ◽  
Heisenberg Chain ◽  
Analytical Results ◽  
Local Quantum

We explore quantum phase transitions in the spin-1/2 [Formula: see text] chain with three-spin interaction in terms of local quantum Fisher information and one-way quantum deficit, together with the demonstration of quantum fluctuations. Analytical results are derived and analyzed in detail.

scholarly journals Scaling of the local quantum uncertainty at quantum phase transitions

2016 ◽  
Vol 380 (20) ◽  
pp. 1724-1728 ◽  
Author(s):  
I.B. Coulamy ◽  
J.H. Warnes ◽  
M.S. Sarandy ◽  
A. Saguia
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Quantum Uncertainty ◽  
Local Quantum Uncertainty ◽  
Local Quantum

scholarly journals Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain

2020 ◽  
Vol 102 (14) ◽  
Author(s):  
Wen-Long You ◽  
Gaoyong Sun ◽  
Jie Ren ◽  
Wing Chi Yu ◽  
Andrzej M. Oleś
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Heisenberg Chain

scholarly journals Quantum correlations in critical XXZ system and LMG model

2018 ◽  
Vol 16 (03) ◽  
pp. 1850029 ◽  
Author(s):  
Biao-Liang Ye ◽  
Bo Li ◽  
Xianqing Li-Jost ◽  
Shao-Ming Fei
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
Quantum Correlations ◽  
Quantum Phase ◽  
Trace Distance ◽  
Quantum Uncertainty ◽  
Hartree Fock ◽  
Local Quantum Uncertainty ◽  
Local Quantum

We investigate the quantum phase transitions for the [Formula: see text] spin-1/2 chains via the quantum correlations between the nearest and next-to-nearest neighbor spins characterized by negativity, information deficit, trace distance discord and local quantum uncertainty. It is shown that all these correlations exhibit the quantum phase transitions at [Formula: see text]. However, only information deficit and local quantum uncertainty can demonstrate quantum phase transitions at [Formula: see text]. The analytical and numerical behaviors of the quantum correlations for the [Formula: see text] system are presented. We also consider quantum correlations in the Hartree–Fock ground state of the Lipkin–Meshkov–Glick (LMG) model.

Quantum phase transitions

2004 ◽  
Vol 174 (8) ◽  
pp. 853 ◽  
Author(s):  
Sergei M. Stishov
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Magnetic Field- and Pressure-Induced Quantum Phase Transitions in NH4CuCl3

2005 ◽  
Vol 159 ◽  
pp. 241-245 ◽  
Author(s):  
Masashi Fujisawa ◽  
Budhy Kurniawan ◽  
Toshio Ono ◽  
Hidekazu Tanaka
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

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