Accurate numerical solution to the finite-size Dicke model

Abstract

By using extended bosonic coherent states, a new 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 literature. Finite-size scaling for several observables, such as the ground-state energy, Berry phase, and concurrence are analyzed. The existing discrepancy for the scaling exponent of the concurrence is reconciled.

4 pages, 5 figures. Phys. Rev. A (in press, a Rapid Communication)

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• Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
• Analytical solutions for the Rabi model
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• Ubiquitous quantum scarring does not prevent ergodicity
• Unified Superradiant phase transitions
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• Thermodynamics of ultrastrongly coupled light-matter systems
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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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• Generalized rotating-wave approximation to the two-qubit and cavity coupling system
• Ground state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling
• Generalized quantum Rabi model with both one- and two-photon terms: A concise analytical study
• Approximated integrability of the Dicke model
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• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
• Single-photon-triggered quantum chaos
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• Dispersive Regimes of the Dicke Model
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• Nonequilibrium steady state transport of collective-qubit system in strong coupling regime
• Possibility of superradiant phase transitions in coupled two-level atoms
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