Double symmetry breaking and 2D quantum phase diagram in spin-boson systems

Abstract

The quantum ground state properties of two independent chains of spins (two-levels systems) interacting with the same bosonic field are theoretically investigated. Each chain is coupled to a different quadrature of the field, leading to two independent symmetry breakings for increasing values of the two spin-boson interaction constants ${\Omega }_C$ and ${\Omega }_I$. A phase diagram is provided in the plane (${\Omega }_C$,${\Omega }_I$) with 4 different phases that can be characterized by the complex bosonic coherence of the ground states and can be manipulated via non-abelian Berry effects. In particular, when ${\Omega }_C$ and ${\Omega }_I$ are both larger than two critical values, the fundamental subspace has a four-fold degeneracy. Possible implementations in superconducting or atomic systems are discussed.

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• Atom-only theories for U(1) symmetric cavity-QED models
• Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system
• Non-equilibrium phases of Fermi gas inside a cavity with imbalanced pumping
• Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
• Magnonic Superradiant Phase Transition