Quantum phase transitions in low-dimensional quantum spin systems with incommensurate magnetic structures

2005 ◽  
Vol 72 (6) ◽  
Author(s):  
A. A. Zvyagin
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Phase ◽  
Quantum Spin Systems ◽  
Magnetic Structures ◽  
Low Dimensional

scholarly journals Quantum Phase Transition in Spin Systems Studied through Entanglement Estimators

2006 ◽  
Vol 13 (04) ◽  
pp. 445-453
Author(s):  
A. Fubini ◽  
S. Haas ◽  
T. Roscilde ◽  
V. Tognetti ◽  
P. Verrucchi
Keyword(s):  
Quantitative Estimate ◽  
Quantum Phase Transitions ◽  
Quantum Effect ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Phase ◽  
Entangled States ◽  
Quantum Spin Systems ◽  
Collective Phenomena ◽  
Specific Quantum

Entanglement represents purely quantum effect involving two or more particles. Spin systems are good candidates for studying this effect and its relation with other collective phenomena ruled by quantum mechanics. While the presence of entangled states can be easily verified, the quantitative estimate of this property is still under investigation. One of the most useful tools in this framework is the concurrence whose definition, albeit limited to S = 1/2 systems, can be related to the correlators. We consider quantum spin systems defined along chains and square lattices, and described by Heisenberg-like Hamiltonians: our goal is to clarify the relation between entanglement and quantum phase transitions, as well as that between the concurrence the and the specific quantum state of the system.

scholarly journals Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions

2016 ◽  
Vol 94 (5) ◽  
Author(s):  
Chae-Yeun Park ◽  
Minsu Kang ◽  
Chang-Woo Lee ◽  
Jeongho Bang ◽  
Seung-Woo Lee ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Arbitrary Spin ◽  
Spin Systems ◽  
Quantum Phase

Optical Spectroscopy of Low-Dimensional Quantum Spin Systems

2003 ◽  
pp. 95-112 ◽  
Author(s):  
Markus Grüninger ◽  
Marco Windt ◽  
Eva Benckiser ◽  
Tamara S. Nunner ◽  
Kai P. Schmidt ◽  
...  
Keyword(s):  
Optical Spectroscopy ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Low Dimensional

scholarly journals Vector Chiral States in Low-Dimensional Quantum-Spin Systems

2008 ◽  
Vol 53 (2) ◽  
pp. 732-736
Author(s):  
Raoul Dillenschneider ◽  
Jung Hoon Kim ◽  
Jung Hoon Han
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Low Dimensional

scholarly journals Pairwise Entanglement and Quantum Phase Transitions in Spin Systems

2007 ◽  
Vol 24 (10) ◽  
pp. 2737-2740 ◽  
Author(s):  
Gu Shi-Jian ◽  
Tian Guang-Shan ◽  
Lin Hai-Qing
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Spin Systems ◽  
Quantum Phase

Quantum phase transitions in 1/3 plateau of the quantum spin tube

2013 ◽  
Vol 63 (3) ◽  
pp. 596-600
Author(s):  
Kouichi Okunishi ◽  
Masahiro Sato ◽  
Tôru Sakai ◽  
Kiyomi Okamoto ◽  
Chigaku Itoi
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Spin Tube

scholarly journals QUANTUM DISCORD IN THE GROUND STATE OF SPIN CHAINS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345030 ◽  
Author(s):  
MARCELO S. SARANDY ◽  
THIAGO R. DE OLIVEIRA ◽  
LUIGI AMICO
Keyword(s):  
Ground State ◽  
Quantum Discord ◽  
Quantum Phase Transitions ◽  
Spatial Dimension ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Quantum Spin Chain ◽  
Quantum Critical Points

The ground state of a quantum spin chain is a natural playground for investigating correlations. Nevertheless, not all correlations are genuinely of quantum nature. Here we review the recent progress to quantify the "quantumness" of the correlations throughout the phase diagram of quantum spin systems. Focusing to one spatial dimension, we discuss the behavior of quantum discord (QD) close to quantum phase transitions (QPT). In contrast to the two-spin entanglement, pairwise discord is effectively long-ranged in critical regimes. Besides the features of QPT, QD is especially feasible to explore the factorization phenomenon, giving rise to nontrivial ground classical states in quantum systems. The effects of spontaneous symmetry breaking are also discussed as well as the identification of quantum critical points through correlation witnesses.

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