Abstract
We study the non-equilibrium condensation process in a holographic superconductor. When the temperature T is smaller than a critical temperature T c, there are two black hole solutions, the Reissner-Nordström- AdS black hole and a black hole with a scalar hair. In the boundary theory, they can be regarded as the supercooled normal phase and the superconducting phase, respectively. We consider perturbations on supercooled Reissner-Nordström- AdS black holes and study their non-linear time evolution to know about physical phenomena associated with rapidly-cooled superconductors. We find that, for T < T c, the initial perturbations grow exponentially and, eventually, spacetimes approach the hairy black holes. We also clarify how the relaxation process from a far-fromequilibrium state proceeds in the boundary theory by observing the time dependence of the superconducting order parameter. Finally, we study the time evolution of event and apparent horizons and discuss their correspondence with the entropy of the boundary theory. Our result gives a first step toward the holographic understanding of the non-equilibrium process in superconductors.
| Original language | English |
|---|---|
| Article number | 050 |
| Journal | Journal of High Energy Physics |
| Volume | 2010 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2010 |
| Externally published | Yes |
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Keywords
- AdS-CFT correspondence
- Black holes
- Classical theories of gravity
- Gauge-gravity correspondence
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Non-equilibrium condensation process in a holographic superconductor. / Murata, Keiju; Kinoshitab, Shunichiro; Tanahashib, Norihiro.
In: Journal of High Energy Physics, Vol. 2010, No. 7, 050, 2010.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Non-equilibrium condensation process in a holographic superconductor
AU - Murata, Keiju
AU - Kinoshitab, Shunichiro
AU - Tanahashib, Norihiro
PY - 2010
Y1 - 2010
N2 - We study the non-equilibrium condensation process in a holographic superconductor. When the temperature T is smaller than a critical temperature T c, there are two black hole solutions, the Reissner-Nordström- AdS black hole and a black hole with a scalar hair. In the boundary theory, they can be regarded as the supercooled normal phase and the superconducting phase, respectively. We consider perturbations on supercooled Reissner-Nordström- AdS black holes and study their non-linear time evolution to know about physical phenomena associated with rapidly-cooled superconductors. We find that, for T < T c, the initial perturbations grow exponentially and, eventually, spacetimes approach the hairy black holes. We also clarify how the relaxation process from a far-fromequilibrium state proceeds in the boundary theory by observing the time dependence of the superconducting order parameter. Finally, we study the time evolution of event and apparent horizons and discuss their correspondence with the entropy of the boundary theory. Our result gives a first step toward the holographic understanding of the non-equilibrium process in superconductors.
AB - We study the non-equilibrium condensation process in a holographic superconductor. When the temperature T is smaller than a critical temperature T c, there are two black hole solutions, the Reissner-Nordström- AdS black hole and a black hole with a scalar hair. In the boundary theory, they can be regarded as the supercooled normal phase and the superconducting phase, respectively. We consider perturbations on supercooled Reissner-Nordström- AdS black holes and study their non-linear time evolution to know about physical phenomena associated with rapidly-cooled superconductors. We find that, for T < T c, the initial perturbations grow exponentially and, eventually, spacetimes approach the hairy black holes. We also clarify how the relaxation process from a far-fromequilibrium state proceeds in the boundary theory by observing the time dependence of the superconducting order parameter. Finally, we study the time evolution of event and apparent horizons and discuss their correspondence with the entropy of the boundary theory. Our result gives a first step toward the holographic understanding of the non-equilibrium process in superconductors.
KW - AdS-CFT correspondence
KW - Black holes
KW - Classical theories of gravity
KW - Gauge-gravity correspondence
UR - http://www.scopus.com/inward/record.url?scp=77955006167&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955006167&partnerID=8YFLogxK
U2 - 10.1007/JHEP07(2010)050
DO - 10.1007/JHEP07(2010)050
M3 - Article
AN - SCOPUS:77955006167
VL - 2010
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 7
M1 - 050
ER -