Phase Transitions in Generalised Spin-Boson (Dicke) Models

Abstract

We consider a class of generalised single mode Dicke Hamiltonians with arbitrary boson coupling in the pseudo-spin $x$-$z$ plane. We find exact solutions in the thermodynamic, large-spin limit as a function of the coupling angle, which allows us to continuously move between the simple dephasing and the original Dicke Hamiltonians. Only in the latter case (orthogonal static and fluctuating couplings), does the parity-symmetry induced quantum phase transition occur.

6 pages, 5 figues

References in corpus (10)

• Quantum Computers and Dissipation
• Chaos and the Quantum Phase Transition in the Dicke Model
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Entanglement and the Phase Transition in Single Mode Superradiance
• Qubit Disentanglement and Decoherence via Dephasing
• Decoherence of quantum registers
• Spontaneous emission of phonons by coupled quantum dots
• Single electron-phonon interaction in a suspended quantum dot phonon cavity
• Steering of a Bosonic Mode with a Double Quantum Dot
• Magnetotransport measurements on freely suspended two-dimensional electron gases

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