Jahn-Teller instability in dissipative quantum systems

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.043805· OSTI ID:21408702

Meaney, Charles P; Duty, Tim; McKenzie, Ross H; Milburn, G J ^[1]

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1. Department of Physics, School of Mathematical and Physical Sciences, University of Queensland, St Lucia, Queensland 4072 (Australia)

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 x {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 an experimental implementation of this model based on a superconducting cavity: a superconducting junction in the central conductor of a coplanar waveguide.

• OSTI ID: 21408702
• Journal Information: Physical Review. A, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevA.81.043805; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
GROUND STATES
HAMILTONIANS
HARMONIC OSCILLATORS
IMPLEMENTATION
INSTABILITY
JAHN-TELLER EFFECT
OSCILLATORS
QUANTUM ENTANGLEMENT
SEMICLASSICAL APPROXIMATION
STEADY-STATE CONDITIONS
SUPERCONDUCTING CAVITY RESONATORS
SUPERCONDUCTING JUNCTIONS
WAVEGUIDES
APPROXIMATIONS
CALCULATION METHODS
CAVITY RESONATORS
ELECTRONIC EQUIPMENT
ENERGY LEVELS
EQUIPMENT
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
RESONATORS
SUPERCONDUCTING DEVICES