Numerically exact solution to the finite-size Dicke model

2008/09/30 by Qing‐Hu Chen, Qing-Hu Chen, Yuyu Zhang +4 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Concurrence #Energy (signal processing) #Exponent #Geometry #Ground state #Mathematical physics #Mathematics #Observable #Phase (matter) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Scaling #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.78.051801

published as Phys. Rev. A78, 051801(R)(2008) · 4 pages, 5 figures. Phys. Rev. A (in press, a Rapid Communication)

arxiv created 2008/09/30 · openalex publication_date 2008/11/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

By using extended bosonic coherent states, a technique to solve the Dicke model exactly is proposed in the numerical sense. The accessible system size is two orders of magnitude higher than that reported in the literature. Finite-size scaling for several observables, such as the ground-state energy, Berry phase, and concurrence, is analyzed. A scaling exponent for ground-state energy is found. An existing discrepancy in the scaling exponent of the concurrence is reconciled.

Citations

• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• Finite-size scaling exponents in the Dicke model
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement
• Scaling of Berry's phase close to the Dicke quantum phase transition
• Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
• Quantum phase transitions of light

Cited by

• Comparative quantum and semiclassical analysis of atom-field systems. I. Density of states and excited-state quantum phase transitions