Fetching the paper…

Reading the bibliography…

Entanglement of low-energy excitations in Conformal Field Theory · Around

2011

Entanglement of low-energy excitations in Conformal Field Theory

Alcaraz, Francisco Castilho, Berganza, Miguel Ibanez, Sierra, German

Original
PDF
Post on X

Understand

In a quantum critical chain, the scaling regime of the energy and momentum of the ground state and low lying excitations are described by conformal field theory (CFT).

The same holds true for the von Neumann and Renyi entropies of the ground state, which display a universal logarithmic behaviour depending on the central charge.
In this letter we generalize this result to those excited states of the chain that correspond to primary fields in CFT.
It is shown that the n-th Renyi entropy is related to a 2n-point correlator of primary fields.

Built on

E. H. Lieb, T. Shultz, D. J. Mattis, Ann. Phys. 16
Original
1961
Earlier work this paper cites.
H. W. J. Blöte, J. L. Cardy, M. M. Nightingale, Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
M. Srenidcki, Phys. Rev. Lett 71
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, Nucl Phys. B 424
1994
Earlier work this paper cites.
G. Vidal, J. I. Latorre, E. Rico, A. Kitaev, Phys. Rev. Lett. 90
2003
Earlier work this paper cites.

Similar

I. Peschel, J. Phys. A: Math. Gen. 36
2003
Cited alongside, same era.
P. Calabrese, J. Cardy, J. Stat. Mech. P06002 (2004)
2004
Cited alongside, same era.
L. Amico, R. Fazio, A. Osterloh, V. Vedral, Rev. Mod. Phys. 80
2008
Cited alongside, same era.
F. C. Alcaraz, M. S. Sarandy, Phys. Rev. A 78
2008
Cited alongside, same era.
J. I. Cirac and F. Verstraete 2009 J. Phys. A: Math. Theor. 42
2009
Cited alongside, same era.

Then

L. Masanes, Phys. Rev. A 80
2009
Later among the works it cites.
V. Alba, M. Fagotti, P. Calabrese, J.Stat.Mech. 10020 (2009)
2009
Later among the works it cites.
J. Eisert, M. Cramer, M.B. Plenio, Rev. Mod. Phys. 82
2010
Later among the works it cites.
P. Calabrese, J. Cardy, and E. Tonni, J. Stat. Mech P011001 (2009); J. Stat. Mech. P01021 (2011); M. Headrick, Phys. Rev. D 82
2010
Later among the works it cites.
P .Calabrese, M. Campostrini, F. Essler, B. Nienhuis, Phys. Rev. Lett. 104, 095701 (2010); P. Calabrese and F. H. L Essler, J. Stat. Mech. P08029 (2010)
2010
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…