Energy release from hadron-quark phase transition in neutron stars and the axial<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:math>mode of gravitational waves

Lin, Weikang; Li, Bao-An; Xu, Jun; Ko, Che Ming; Wen, De Hua

doi:10.1103/physrevc.83.045802

Cited by 29 publications

(37 citation statements)

References 58 publications

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“…It would provide a good tool to detect the critical point by a finite-size study. In the critical spin chains, the first derivative of the QD also shows its peak right at the critical point, which is also nonanalytical and discontinuous [19,[21][22][23][24].…”

Section: Quantum Correlation Of the Dicke Modelmentioning

confidence: 95%

“…This logarithmic scaling has been also reported in Refs. [19,24] for XY spin chains and transverse field Ising chains, implying the universal features of the derivatives of the QD to exhibit the novel behaviors of the critical systems. The first derivative of the classical correlation dC dλ displays a different behavior.…”

Section: Quantum Correlation Of the Dicke Modelmentioning

confidence: 99%

“…The critical properties of the XXZ model and transverse Ising model are also studied by the QD at zero temperature, and the logarithmic scaling behaviors of the derivatives of the QD are described [18][19][20]. The QD of the one-half spin XY chains at the critical point [21] and ones with symmetrybreaking field [22] is exhibited, so is the QD done in the extended XY models [23,24]. Particularly, the bipartite QD still identifies a QPT even considering spin pairs farther than the next nearest neighboring in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Quantum correlations in collective spin systems

2012

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Quantum and classical pairwise correlations in two typical collective spin systems (i.e., the Dicke model and the Lipkin-Meshkov-Glick model) are discussed. These correlations in the thermodynamical limit are obtained analytically and in a finite-size system are calculated numerically. Large-size scaling behavior for the quantum discord itself is observed, which has never been reported in another critical system. A logarithmic diverging behavior for the first derivative of the quantum discord is also found in both models, which might be universal in the second-order quantum phase transition. It is suggested that the pronounced maximum or minimum of first derivative of quantum discord signifies the critical point. Comparisons between the quantum discord and the scaled concurrence are performed. It is shown that the quantum discord is very small in one phase and robust in the other phase, while the scaled concurrence shows maximum at the critical point and decays rapidly when away from the the critical point.

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Section: Quantum Correlation Of the Dicke Modelmentioning

confidence: 95%

Section: Quantum Correlation Of the Dicke Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum correlations in collective spin systems

2012

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“…In fact, this relation has been recently studied from many different angles in quantum critical spin chains. Specifically, correlation measures such as entanglement [6] and quantum discord [7] have been employed as figures of merit for the examination of the QPTs and factorization phenomenon [8][9][10][11][12][13][14][15]. Whereas most authors only considered the absolute zero temperature [8][9][10], others examined the problem at finite temperatures as well [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence and uncertainty in the anisotropic XY chain

2014

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We explore the local quantum coherence and the local quantum uncertainty, based on Wigner-Yanase skew information, in the ground state of the anisotropic spin-1/2 XY chain in a transverse magnetic field. We show that the skew information, as a figure of merit, supplies the necessary information to reveal the occurrence of the second-order phase transition and the completely factorized ground state in the XY model. Additionally, in the same context, we also discuss the usefulness of a simple experimentally friendly lower bound of local quantum coherence. Furthermore, we demonstrate how the connection between the appearance of nonanalyticities in the local quantum uncertainty of the ground state and the quantum phase transitions does not hold in general, by providing explicit examples of the situation. Lastly, we discuss the ability of the local quantum coherence to accurately estimate the critical point of the phase transition, and we investigate the robustness of the factorization phenomenon at low temperatures.

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“…These results suggest that such oscillations could be a powerful probe of the symmetry energy at saturation density, but that it is important to incorporate a sophisticated model of the crust, consistent calculations of the EOS of crust and core and the effects of the high magnetic fields into the analysis. Due to their purely general-relativistic nature, w-modes have also become the focal point of many investigations [106,107]. In particular, it was shown that the density dependence of the nuclear symmetry energy has a clear imprint on both the frequency and the damping time of the axial w-modes [106].…”

Section: Neutron Star Oscillationsmentioning

confidence: 99%

Probing the high-density behavior of symmetry energy with gravitational waves

Fattoyev

Newton

2014

Eur. Phys. J. A

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Abstract. Gravitational wave (GW) astronomy opens up an entirely new window on the Universe to probe the equations of state (EOS) of neutron-rich matter. With the advent of next generation GW detectors, measuring the gravitational radiation from coalescing binary neutron star systems, mountains on rotating neutron stars, and stellar oscillation modes may become possible in the near future. Using a set of model EOSs satisfying the latest constraints from terrestrial nuclear experiments, state of the art nuclear manybody calculations of the pure neutron matter EOS, and astrophysical observations consistently, we study various GW signatures of the high-density behavior of the nuclear symmetry energy, which is considered among the most uncertain properties of dense neutron-rich nucleonic matter. In particular, we find the tidal polarizability of neutron stars, potentially measurable in binary systems just prior to merger, is more sensitive to the high density component of the nuclear symmetry energy than the symmetry energy at nuclear saturation density. We also find that the upper limit on the GW strain amplitude from elliptically deformed stars is very sensitive to the density dependence of the symmetry energy. This suggests that future developments in modeling of the neutron star crust, and direct gravitational wave signals from accreting binaries will provide a wealth of information on the EOS of neutron-rich matter. We also review the sensitivity of the r-mode instability window to the density dependence of the symmetry energy. Whereas models with larger values of the density slope of the symmetry energy at saturation seem to be disfavored by the current observational data, within a simple r-mode model, we point out that a subsequent softer behavior of the symmetry energy at high densities (hinted at by recent observational interpretations) could rule them in. PACS

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Energy release from hadron-quark phase transition in neutron stars and the axialwmode of gravitational waves

Cited by 29 publications

References 58 publications

Quantum correlations in collective spin systems

Quantum correlations in collective spin systems

Quantum coherence and uncertainty in the anisotropic XY chain

Probing the high-density behavior of symmetry energy with gravitational waves

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