Entanglement in many-body systems - INSPIRE

DataBETA

Entanglement in many-body systems

Luigi Amico
(
- Catania U., DMFCI
)
,
Rosario Fazio
(
- NEST-INFM and
- SISSA, Trieste
)
,
Andreas Osterloh
(
- Hannover U.
)
,
Vlatko Vedral
(
- Leeds U.
)

Mar, 2007

60 pages

Published in:

Rev.Mod.Phys. 80 (2008) 517-576

e-Print:

quant-ph/0703044 [quant-ph]

DOI:

10.1103/RevModPhys.80.517,
10.1103//RevModPhys.80.517 (publication)

View in:

reference search1,601 citations

Citations per year

Abstract:

The recent interest in aspects common to quantum information and condensed matter has prompted a prosperous activity at the border of these disciplines that were far distant until few years ago. Numerous interesting questions have been addressed so far. Here we review an important part of this field, the properties of the entanglement in many-body systems. We discuss the zero and finite temperature properties of entanglement in interacting spin, fermionic and bosonic model systems. Both bipartite and multipartite entanglement will be considered. At equilibrium we emphasize on how entanglement is connected to the phase diagram of the underlying model. The behavior of entanglement can be related, via certain witnesses, to thermodynamic quantities thus offering interesting possibilities for an experimental test. Out of equilibrium we discuss how to generate and manipulate entangled states by means of many-body Hamiltonians.

Note:

61 pages, 29 figures

References(497)

Figures(34)

[1]

Classification of Mixed Three-Qubit States

- Phys.Rev.Lett. 87 (2001) 4, 040401
•
DOI:
- 10.1103/PhysRevLett.87.040401

[2]

a

G. Adesso
,
F. Illuminati

- New J.Phys. 8 (2005) 15

[3]

b

G. Adesso
,
F. Illuminati

- Phys.Rev.A 72 (2005) 032334

[4]

Entanglement in continuous variable systems: Recent advances and current perspectives

Gerardo Adesso
(
- Rome U. and
- Salerno U.
)
,
Fabrizio Illuminati
(
- Salerno U. and
- INFM, Salerno and
- INFN, Salerno
)

- J.Phys.A 40 (2007) 7821-7880
•
e-Print:
- quant-ph/0701221
•
DOI:
- 10.1088/1751-8113/40/28/S01

[5]

Quantification and scaling of multipartite entanglement in continuous variable systems

Gerardo Adesso
(
- Salerno U. and
- INFM, Salerno and
- INFN, Naples
)
,
Alessio Serafini
(
- Salerno U. and
- INFM, Salerno and
- INFN, Naples
)
,
Fabrizio Illuminati
(
- Salerno U. and
- INFM, Salerno and
- INFN, Naples
)

- Phys.Rev.Lett. 93 (2004) 220504
•
e-Print:
- quant-ph/0406053
•
DOI:
- 10.1103/PhysRevLett.93.220504

[6]

Extremal entanglement and mixedness in continuous variable systems

Gerardo Adesso
(
- Salerno U. and
- INFM, Salerno and
- INFN, Naples
)
,
Alessio Serafini
(
- Salerno U. and
- INFM, Salerno and
- INFN, Naples
)
,
Fabrizio Illuminati
(
- Salerno U. and
- INFM, Salerno and
- INFN, Naples
)

- Phys.Rev.A 70 (2004) 022318
•
e-Print:
- quant-ph/0402124
•
DOI:
- 10.1103/PhysRevA.70.022318

[7]

Valence Bond Ground States in Isotropic Quantum Antiferromagnets

- Commun.Math.Phys. 115 (1988) 477
•
DOI:
- 10.1007/BF01218021

[8]

Universal noninteger 'ground state degeneracy' in critical quantum systems

- Phys.Rev.Lett. 67 (1991) 161-164
•
DOI:
- 10.1103/PhysRevLett.67.161

[9]

Exact critical theory of the two impurity Kondo model

Ian Affleck
(
- British Columbia U.
)
,
Andreas W.W. Ludwig
(
- British Columbia U. and
- Simon Fraser U.
)

- Phys.Rev.Lett. 68 (1992) 1046-1049
•
DOI:
- 10.1103/PhysRevLett.68.1046

[10]

S.J. Akhtarshenas

- J.Phys.A 38 (2005) 6777

[11]

F. Alcaraz
,
A. Saguia
,
M. Sarandy

- Phys.Rev.A 70 (2004) 032333

[12]

Teleportation with a uniformly accelerated partner

Paul M. Alsing
(
- New Mexico U.
)
,
G.J. Milburn
(
- Queensland U.
)

- Phys.Rev.Lett. 91 (2003) 180404
•
e-Print:
- quant-ph/0302179
•
DOI:
- 10.1103/PhysRevLett.91.180404

[13]

L. Amico
,
F. Baroni
,
A. Fubini
,
D. Patané
,
V. Tognetti

et al.

- Phys.Rev.A 74 (2006) 022322

[14]

The BCS model and the off-shell Bethe ansatz for vertex models

- J.Phys.A 34 (2001) 6425-6434
•
e-Print:
- cond-mat/0010349
•
DOI:
- 10.1088/0305-4470/34/33/307

[15]

Out-of-equilibrium correlation functions of quantum anisotropic XY models: One particle excitations

Luigi Amico
(
- NEST-INFM and
- Catania U., DMFCI
)
,
Andreas Osterloh
(
- NEST-INFM and
- Catania U., DMFCI
)

- J.Phys.A 37 (2004) 291-302
•
e-Print:
- cond-mat/0306285
•
DOI:
- 10.1088/0305-4470/37/2/001

[16]

L. Amico
,
A. Osterloh
,
F. Plastina
,
G. Palma
,
R. Fazio

- Phys.Rev.A 69 (2004) 022304

[17]

L. Amico
,
D. Patané

- EPL 77 (2007) 17001

[18]

J. Anders
,
D. Kaszlikowski
,
C. Lunkes
,
T. Ohshima
,
V. Vedral

- New J.Phys. 8 (2006) 140

[19]

Open Syst. Inf. Dyn. 11, 14

J. Anders
,
V. Vedral

[20]

P. Anderson
,
G. Yuval
,
D. Harmann

- Phys.Rev.B 1 (1970) 4464

[21]

in Low Dimensional Quantum Field Theories for Condensed Matter Physics, S. Lundqvist, G. Morandi, and Y. Lu (eds.)

N. Andrei

[22]

Montorsi, and F. Ortolani

A. Anfossi
,
A. C. Degli Esposti Boschi

- Phys.Rev.B 73 (2006) 085113

[23]

A. Anfossi
,
P. Giorda
,
A. Montorsi

- Phys.Rev.B 75 (2007) 165106

[24]

A. Anfossi
,
P. Giorda
,
A. Montorsi
,
F. Traversa

- Phys.Rev.Lett. 95 (2005) 056402

[25]

T. Apollaro
,
F. Plastina

- Phys.Rev.A 74 (2006) 062316

1-25 of 497
1
2
3
4
5
•••
20
25 / page