### Abstract

The Rényi entropies of the Dicke model are presented. This quantum-optical model describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the N→∞ limit. It is shown that there is an abrupt change in the Rényi entropy of order β at the transition point. Around the critical value of the coupling strength ^{λc} the Rényi entropy is proportional to the logarithm of the characteristic length and diverges as ln|^{λc}-λ| for any order β. The pseudocapacity defined here in analogy with the heat capacity exhibits the phase transition. The critical exponent for the Dicke model is found to be 1 for any value of the parameter β.

Original language | English |
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Pages (from-to) | 3066-3069 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 375 |

Issue number | 34 |

DOIs | |

Publication status | Published - Aug 8 2011 |

### Fingerprint

### Keywords

- Dicke model
- Quantum phase transition
- Rényi entropy

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Rényi entropy and quantum phase transition in the Dicke model.** / Romera, E.; Nagy, A.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 375, no. 34, pp. 3066-3069. https://doi.org/10.1016/j.physleta.2011.06.046

}

TY - JOUR

T1 - Rényi entropy and quantum phase transition in the Dicke model

AU - Romera, E.

AU - Nagy, A.

PY - 2011/8/8

Y1 - 2011/8/8

N2 - The Rényi entropies of the Dicke model are presented. This quantum-optical model describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the N→∞ limit. It is shown that there is an abrupt change in the Rényi entropy of order β at the transition point. Around the critical value of the coupling strength λc the Rényi entropy is proportional to the logarithm of the characteristic length and diverges as ln|λc-λ| for any order β. The pseudocapacity defined here in analogy with the heat capacity exhibits the phase transition. The critical exponent for the Dicke model is found to be 1 for any value of the parameter β.

AB - The Rényi entropies of the Dicke model are presented. This quantum-optical model describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the N→∞ limit. It is shown that there is an abrupt change in the Rényi entropy of order β at the transition point. Around the critical value of the coupling strength λc the Rényi entropy is proportional to the logarithm of the characteristic length and diverges as ln|λc-λ| for any order β. The pseudocapacity defined here in analogy with the heat capacity exhibits the phase transition. The critical exponent for the Dicke model is found to be 1 for any value of the parameter β.

KW - Dicke model

KW - Quantum phase transition

KW - Rényi entropy

UR - http://www.scopus.com/inward/record.url?scp=79960628256&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960628256&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2011.06.046

DO - 10.1016/j.physleta.2011.06.046

M3 - Article

AN - SCOPUS:79960628256

VL - 375

SP - 3066

EP - 3069

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 34

ER -