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

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• Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions
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• Approximated integrability of the Dicke model
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Finite-size scaling analysis in the two-photon Dicke model
• Solutions to the quantum Rabi model with two equivalent qubits
• Quantum phase transitions in coupled two-level atoms in a single-mode cavity
• Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes
• Quantum state engineering in hybrid open quantum systems
• Adiabatic invariants for the regular region of the Dicke model
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• On the finite size behavior of quantum collective spin systems
• Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Ultrastrong coupling circuit QED in the radio-frequency regime
• Dispersive Regimes of the Dicke Model
• Large-N scaling behavior of the quantum fisher information in the Dicke model
• Entanglement sharing in $E\otimes \epsilon$ Jahn-Teller model in the presence of a magnetic field
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Quantum phase transitions in an effective Hamiltonian: fast and slow systems
• Single Mode Approximation for sub-Ohmic Spin-Boson Model: Adiabatic Limit and Critical Properties