### Abstract

A class of two-parameter relative complexity measures is presented. Several important properties are proved. As an example we consider the Dicke model that describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the limit. It is found that the relative complexity is an excellent marker of the quantum phase transition.

Original language | English |
---|---|

Article number | P09016 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2011 |

Issue number | 9 |

DOIs | |

Publication status | Published - szept. 2011 |

### Fingerprint

### ASJC Scopus subject areas

- Statistics and Probability
- Statistical and Nonlinear Physics
- Statistics, Probability and Uncertainty

### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*,

*2011*(9), [P09016]. https://doi.org/10.1088/1742-5468/2011/09/P09016

**A generalized relative complexity measure.** / Romera, E.; Sen, K. D.; Nagy, A.

Research output: Article

*Journal of Statistical Mechanics: Theory and Experiment*, vol. 2011, no. 9, P09016. https://doi.org/10.1088/1742-5468/2011/09/P09016

}

TY - JOUR

T1 - A generalized relative complexity measure

AU - Romera, E.

AU - Sen, K. D.

AU - Nagy, A.

PY - 2011/9

Y1 - 2011/9

N2 - A class of two-parameter relative complexity measures is presented. Several important properties are proved. As an example we consider the Dicke model that describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the limit. It is found that the relative complexity is an excellent marker of the quantum phase transition.

AB - A class of two-parameter relative complexity measures is presented. Several important properties are proved. As an example we consider the Dicke model that describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the limit. It is found that the relative complexity is an excellent marker of the quantum phase transition.

KW - quantum phase transitions (theory)

UR - http://www.scopus.com/inward/record.url?scp=80053464994&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053464994&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2011/09/P09016

DO - 10.1088/1742-5468/2011/09/P09016

M3 - Article

AN - SCOPUS:80053464994

VL - 2011

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 9

M1 - P09016

ER -