Decoherence due to an excited state quantum phase transition in a two-level boson model - INSPIRE

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Decoherence due to an excited state quantum phase transition in a two-level boson model

P. Perez-Fernandez
(
- Seville U.
)
,
A. Relano
(
- Madrid, Inst. Estructura Materia
)
,
J.M. Arias
(
- Seville U.
)
,
J. Dukelsky
(
- Madrid, Inst. Estructura Materia
)
,
J.E. Garcia-Ramos
(
- Huelva U.
)

2009

23 pages

Published in:

Phys.Rev.A 80 (2009) 032111

e-Print:

1001.0398 [quant-ph]

DOI:

10.1103/PhysRevA.80.032111

View in:

ADS Abstract Service

reference search33 citations

Citations per year

Abstract: (arXiv)

The decoherence induced on a single qubit by its interaction with the environment is studied. The environment is modelled as a scalar two-level boson system that can go through either first order or continuous excited state quantum phase transitions, depending on the values of the control parameters. A mean field method based on the Tamm-Damkoff approximation is worked out in order to understand the observed behaviour of the decoherence. Only the continuous excited state phase transition produces a noticeable effect in the decoherence of the qubit. This is maximal when the system-environment coupling brings the environment to the critical point for the continuous phase transition. In this situation, the decoherence factor (or the fidelity) goes to zero with a finite size scaling power law.

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References(20)

Figures(12)

[1]

Decoherence, einselection, and the quantum origins of the classical

Wojciech Hubert Zurek
(
- Los Alamos
)

- Rev.Mod.Phys. 75 (2003) 715-775
•
e-Print:
- quant-ph/0105127
•
DOI:
- 10.1103/RevModPhys.75.715

[2]

Decoherence, the Measurement Problem, and Interpretations of Quantum Mechanics

Maximilian Schlosshauer
(
- Washington U., Seattle
)

- Rev.Mod.Phys. 76 (2004) 1267-1305
•
e-Print:
- quant-ph/0312059
•
DOI:
- 10.1103/RevModPhys.76.1267

[3]

F.M. Cucchietti
,
S. Fernandez-Vidal
,
J.P. Paz

- Phys.Rev.A 75 (2007) 032337

[4]

C. Cormick
,
J.P. Paz

- Phys.Rev.A 77 (2008) 022317

[5]

D. Rossini
,
T. Calarco
,
V. Giovannetti
,
S. Montangero
,
R. Fazio

- Phys.Rev.A 75 (2007) 032333

[6]

L.C. Wang
,
H.T. Cui
,
X.-X. Yi

- Phys.Lett.A 372 (2008) 1387

[7]

S. Camalet
,
R. Chitra

- Phys.Rev.Lett. 99 (2007) 267202

[8]

Z.-G. Yuan
,
P. Zhang
,
S.-S. Li

- Phys.Rev.A 75 (2007) 012102

[9]

Decoherence as a signature of an excited state quantum phase transition

A. Relano
(
- Madrid, Inst. Estructura Materia
)
,
J.M. Arias
(
- Seville U.
)
,
J. Dukelsky
(
- Madrid, Inst. Estructura Materia
)
,
J.E. Garcia-Ramos
(
- Huelva U.
)
,
P. Perez-Fernandez
(
- Seville U.
)

- Phys.Rev.A 78 (2009) 060102
•
e-Print:
- 1001.0397
•
DOI:
- 10.1103/PhysRevA.78.060102

[10]

A Two-level boson model to study the Casten triangle

Julien Vidal
(
- Paris U., VI, LPTL
)
,
Jose M. Arias
(
- Seville U.
)
,
Jorge Dukelsky
(
- Madrid, Inst. Estructura Materia
)
,
Jose Enrique Garcia-Ramos
(
- Huelva U.
)

- Phys.Rev.C 73 (2006) 054305
•
e-Print:
- nucl-th/0602062
•
DOI:
- 10.1103/PhysRevC.73.054305

[10]

Two-level interacting boson models beyond the mean field

Jose M. Arias
(
- Seville U.
)
,
Jorge Dukelsky
(
- Madrid, Inst. Estructura Materia
)
,
Jose Enrique Garcia-Ramos
(
- Huelva U.
)
,
Julien Vidal
(
- Paris U., VI-VII
)

- Phys.Rev.C 75 (2007) 014301
•
e-Print:
- nucl-th/0609001
•
DOI:
- 10.1103/PhysRevC.75.014301

[11]

Coulomb analogy for nonhermitian degeneracies near quantum phase transitions

Pavel Cejnar
(
- Charles U. and
- ECT, Trento
)
,
Stefan Heinze
(
- Cologne U.
)
,
Michal Macek
(
- Charles U.
)

- Phys.Rev.Lett. 99 (2007) 100601
•
e-Print:
- 0707.2473
•
DOI:
- 10.1103/PhysRevLett.99.100601

[12]

Quantum phase transitions in the interacting boson model

Pavel Cejnar
(
- Charles U.
)
,
Jan Jolie
(
- Cologne U.
)

- Prog.Part.Nucl.Phys. 62 (2009) 210-256
•
e-Print:
- 0807.3467
•
DOI:
- 10.1016/j.ppnp.2008.08.001

[13]

W.D. Heiss
,
F.G. Scholtz
,
H.B. Geyer

- J.Phys.A 38 (2005) 1843

[13]

Large-N Scaling Behavior of the Lipkin-Meshkov-Glick Model

F. Leyvraz
(
- UNAM, CCF
)
,
W.D. Heiss
(
- Stellenbosch U.
)

- Phys.Rev.Lett. 95 (2005) 050402
•
e-Print:
- quant-ph/0507004
•
DOI:
- 10.1103/PhysRevLett.95.050402

[13]

W.D. Heiss

- J.Phys.A 39 (2006) 10081

[14]

Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics

- Phys.Rev.C 73 (2006) 014306
•
e-Print:
- nucl-th/0504016
•
DOI:
- 10.1103/PhysRevC.73.014306

[14]

Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories

- Phys.Rev.C 73 (2006) 014307
•
e-Print:
- nucl-th/0504017
•
DOI:
- 10.1103/PhysRevC.73.014307

[14]

P. Cejnar
,
M. Macek
,
S. Heinze
,
J. Jolie
,
J. Dobes

- J.Phys.A 39 (2006) L515

[15]

Excited state quantum phase transitions in many-body systems

- Annals Phys. 323 (2008) 5, 1106-1135
•
DOI:
- 10.1016/j.aop.2007.06.011