Built on

M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
R. Simon, “Peres-Horodecki separability criterion for continuous variable systems,” Phys. Rev. L 84
2000
Earlier work this paper cites.
G. Vidal, R. F. Werner, “A computable measure of entanglement,” Phys. Rev. A 65
2002
Earlier work this paper cites.
K. Audenaert, J. Eisert, M. B. Plenio and R. F. Werner, “Entanglement Properties of the Harmonic Chain,” Phys. Rev. A 66
2002
Earlier work this paper cites.
I. Peschel, “Calculation of reduced density matrices from correlation functions,” J. Phys. A: Math. Gen. 36, L205 (2003) [arXiv:cond-mat/0212631]
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
M. B. Plenio, “Logarithmic Negativity: A Full Entanglement Monotone That is not Convex,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
H. Casini and M. Huerta, “Universal terms for the entanglement entropy in 2+1 dimensions,” Nucl. Phys. B 764
2007
Earlier work this paper cites.
J. Anders, Thermal state entanglement in harmonic lattices, Phys. Rev. A 77, 062102 (2008)
2008
Earlier work this paper cites.
P. Calabrese and J. Cardy, “Entanglement entropy and conformal field theory,” J. Phys. A 42
Original
2009
Earlier work this paper cites.
H. Casini and M. Huerta, “Entanglement entropy in free quantum field theory,” J. Phys. A 42
Original
2009
Earlier work this paper cites.
T. Yu and J. H. Eberly, Sudden Death of Entanglement, Science 323, 598 (2009)
2009
Earlier work this paper cites.
J. Alexandre, “Lifshitz-type Quantum Field Theories in Particle Physics,” Int. J. Mod. Phys. A 26
Original
2011
Earlier work this paper cites.

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2017

Logarithmic Negativity in Lifshitz Harmonic Models

Mozaffar, M. Reza Mohammadi, Mollabashi, Ali

Understand

Recently generalizations of the harmonic lattice model has been introduced as a discrete approximation of bosonic field theories with Lifshitz symmetry with a generic dynamical exponent z.

In such models in (1+1) and (2+1)-dimensions, we study logarithmic negativity in the vacuum state and also finite temperature states.
We investigate various features of logarithmic negativity such as the universal term, its z-dependence and also its temperature dependence in various configurations.
We present both analytical and numerical evidences for linear z-dependence of logarithmic negativity in almost all range of parameters both in (1+1) and (2+1)-dimensions.

Built on

M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
R. Simon, “Peres-Horodecki separability criterion for continuous variable systems,” Phys. Rev. L 84
2000
Earlier work this paper cites.
G. Vidal, R. F. Werner, “A computable measure of entanglement,” Phys. Rev. A 65
2002
Earlier work this paper cites.
K. Audenaert, J. Eisert, M. B. Plenio and R. F. Werner, “Entanglement Properties of the Harmonic Chain,” Phys. Rev. A 66
2002
Earlier work this paper cites.
I. Peschel, “Calculation of reduced density matrices from correlation functions,” J. Phys. A: Math. Gen. 36, L205 (2003) [arXiv:cond-mat/0212631]
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
M. B. Plenio, “Logarithmic Negativity: A Full Entanglement Monotone That is not Convex,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
H. Casini and M. Huerta, “Universal terms for the entanglement entropy in 2+1 dimensions,” Nucl. Phys. B 764
2007
Earlier work this paper cites.
J. Anders, Thermal state entanglement in harmonic lattices, Phys. Rev. A 77, 062102 (2008)
2008
Earlier work this paper cites.
P. Calabrese and J. Cardy, “Entanglement entropy and conformal field theory,” J. Phys. A 42
Original
2009
Earlier work this paper cites.
H. Casini and M. Huerta, “Entanglement entropy in free quantum field theory,” J. Phys. A 42
Original
2009
Earlier work this paper cites.
T. Yu and J. H. Eberly, Sudden Death of Entanglement, Science 323, 598 (2009)
2009
Earlier work this paper cites.
J. Alexandre, “Lifshitz-type Quantum Field Theories in Particle Physics,” Int. J. Mod. Phys. A 26
Original
2011
Earlier work this paper cites.