The Jahn-Teller instability in dissipative quantum electromechanical systems

Details The Jahn-Teller instability in dissipative quantum electromechanical systems The Jahn-Teller instability in dissipative quantum electromechanical systems

2009-03-16

arxiv.org/abs/0903.2681v1

Phys. Rev. A 81, 043805 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

24 pages, 13 figures

Scientific paper

We consider the steady states of a harmonic oscillator coupled so strongly to a two-level system (a qubit) that the rotating wave approximation cannot be made. The Hamiltonian version of this model is known as the $E\otimes\beta$ Jahn-Teller model. The semiclassical version of this system exhibits a fixed point bifurcation, which in the quantum model leads to a ground state with substantial entanglement between the oscillator and the qubit. We show that the dynamical bifurcation survives in a dissipative quantum description of the system, amidst an even richer bifurcation structure. We propose two experimental implementations of this model based on superconducting cavities: a parametrically driven nonlinear nanomechanical resonator coupled capacitively to a coplanar microwave cavity and a superconducting junction in the central conductor of a coplanar waveguide.

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