# INTERPLAY BETWEEN QUANTUM PHASE TRANSITIONS AND THE BEHAVIOR OF QUANTUM CORRELATIONS AT FINITE TEMPERATURES

@article{Werlang2012INTERPLAYBQ, title={INTERPLAY BETWEEN QUANTUM PHASE TRANSITIONS AND THE BEHAVIOR OF QUANTUM CORRELATIONS AT FINITE TEMPERATURES}, author={Thiago Werlang and G. A. P. Ribeiro and Gustavo Rigolin}, journal={International Journal of Modern Physics B}, year={2012}, volume={27}, pages={1345032} }

We review the main results and ideas showing that quantum correlations at finite temperatures (T), in particular quantum discord, are useful tools in characterizing quantum phase transitions (QPT) that only occur, in principle, at the unattainable absolute zero temperature. We first review some interesting results about the behavior of thermal quantum discord for small spin-1/2 chains and show that they already give us important hints of the infinite chain behavior. We then study in detail and… Expand

#### 15 Citations

Quantum correlation and quantum phase transition in the one-dimensional extended Ising model

- Physics, Computer Science
- Quantum Inf. Process.
- 2017

By analyzing the divergent behaviors of quantum discord at the critical points, it is found that the quantum phase transitions driven by different parameters of the model can also display distinctive critical behaviors, which provides a scheme to detect the topological quantum phase transition in practice. Expand

Quantum and Classical Thermal Correlations in Spin-1 Heisenberg Chain with Alternating Single-Ion Anisotropy

- Physics
- 2021

In the present paper, we study the quantum phase transition in a spin-1 Heisenberg model with two and three particles by using pairwise classical and quantum thermal correlations and entanglement… Expand

Quantum Discord in the Ground State of Spin Chains

- Physics
- 2013

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… Expand

Thermal quantum correlations and quantum phase transitions in Ising-XXZ diamond chain

- Physics
- 2015

Quantum phase transitions (QPT) in the infinite-long Ising-XXZ diamond chain, characterized by the quantum correlations measured by the quantum discord (QD) and the entanglement of formation (EoF),… Expand

Does “cooling by heating” protect quantum correlations?

- Computer Science, Physics
- Quantum Inf. Process.
- 2016

It is found that at both zero and finite temperature, depending on the parameters used, quantum correlations can be enhanced even when increasing the damping rates, a somewhat counterintuitive result. Expand

Spotlighting quantum phase transition in spin -1/2 Ising–Heisenberg diamond chain employing Measurement-Induced Nonlocality

- Physics
- Physica A: Statistical Mechanics and its Applications
- 2021

We examine thermal quantum correlations characterized by MeasurementInduced Nonlocality (MIN) in an infinite spin-1/2 Ising-Heisenberg spin chain with Dzyaloshinskii-Moriya (DM) interaction. We… Expand

Pairwise thermal entanglement and quantum discord in a three-ligand spin-star structure

- Physics, Computer Science
- Quantum Inf. Process.
- 2017

In this work, we perform a comparative study between the pairwise thermal entanglement (PWTE) and thermal quantum discord (TQD) to detect quantum phase transitions (QPT)s in a three-ligand spin-star… Expand

Quantum correlations in a few-atom spin-1 Bose–Hubbard model

- Physics
- 2013

We study the thermal quantum correlations and entanglement in the spin-1 Bose–Hubbard model with two and three particles. While we use negativity to calculate entanglement, more general non-classical… Expand

2 Low-Dimensional Quantum Spin Systems 1 . 2 . 1 Quantum Spin Models

- 2016

Magnetism as a physical phenomenon has been known since antiquity but it was only after the advent of quantum mechanics that modern, microscopic theories of magnetism could be developed. Magnetism is… Expand

Genuine quantum correlations in quantum many-body systems: a review of recent progress.

- Physics, Computer Science
- Reports on progress in physics. Physical Society
- 2018

The aim of this work is to review the most recent developments regarding correlations in quantum many-body systems focussing on multipartite entanglement, quantum nonlocality, quantum discord, mutual information but also other non classical measures of correlations based on quantum coherence. Expand

#### References

SHOWING 1-10 OF 66 REFERENCES

Quantum correlations in spin chains at finite temperatures and quantum phase transitions.

- Physics, Medicine
- Physical review letters
- 2010

It is shown that QD spotlight the critical points associated with quantum phase transitions (QPT) for this model even at finite T, which may have important implications for experimental characterization of QPTs when one is unable to reach temperatures below which a QPT can be seen. Expand

Spotlighting quantum critical points via quantum correlations at finite temperatures

- Physics
- 2011

We extend the program initiated by T. Werlang et al. [Phys. Rev. Lett. 105, 095702 (2010)] in several directions. Firstly, we investigate how useful quantum correlations, such as entanglement and… Expand

Classical correlation and quantum discord in critical systems

- Physics
- 2009

We discuss the behavior of quantum and classical pairwise correlations in critical systems, with the quantumness of the correlations measured by the quantum discord. We analytically derive these… Expand

Quantum and classical thermal correlations in the XY spin-(1/2) chain

- Physics
- 2010

We investigate pairwise quantum correlation as measured by the quantum discord as well as its classical counterpart in the thermodynamic limit of anisotropic XY spin-1/2 chains in a transverse… Expand

Scaling of entanglement close to a quantum phase transition

- Physics, Medicine
- Nature
- 2002

It is demonstrated, for a class of one-dimensional magnetic systems, that entanglement shows scaling behaviour in the vicinity of the transition point, which connects the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point. Expand

Entanglement in quantum critical phenomena.

- Physics, Medicine
- Physical review letters
- 2003

The results establish a precise connection between concepts of quantum information, condensed matter physics, and quantum field theory, by showing that the behavior of critical entanglement in spin systems is analogous to that of entropy in conformal field theories. Expand

Ground-state factorization and correlations with broken symmetry

- Physics
- 2011

We show how the phenomenon of factorization in a quantum many-body system is of collective nature. To this aim we study the quantum discord Q in the one-dimensional XY model in a transverse field. We… Expand

Quantum discord and quantum phase transition in spin chains

- Physics
- 2008

Quantum phase transitions of the transverse Ising and antiferromagnetic $XXZ$ spin $S=1/2$ chains are studied using quantum discord. Quantum discord allows the measure of quantum correlations present… Expand

Entanglement and local extremes at an infinite-order quantum phase transition

- Physics
- 2010

The characterization of an infinite-order quantum phase transition (QPT) by entanglement measures is analyzed. To this aim, we consider two closely related solvable spin-1/2 chains, namely, the… Expand

Reexamination of entanglement and the quantum phase transition

- Physics
- 2005

We show that, for an exactly solvable quantum spin model, a discontinuity in the first derivative of the ground-state concurrence appears in the absence of a quantum phase transition. It is opposed… Expand