Scaling behavior in the adiabatic Dicke Model

Abstract

We analyze the quantum phase transition for a set of $N$-two level systems interacting with a bosonic mode in the adiabatic regime. Through the Born-Oppenheimer approximation, we obtain the finite-size scaling expansion for many physical observables and, in particular, for the entanglement content of the system.

4 pages, 3 figures

References in corpus (3)

• Quantum Phase Transitions and Bipartite Entanglement
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement

Cited by in corpus (5)

• Accurate numerical solution to the finite-size Dicke model
• Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Entanglement sharing in $E\otimes \epsilon$ Jahn-Teller model in the presence of a magnetic field
• Quantum phase transitions in an effective Hamiltonian: fast and slow systems