A twisted conformal field theory description of dissipative quantum mechanics

Abstract

We show how the recently proposed CFT for a bilayer Quantum Hall system at filling nu=m/pm+2, the Twisted Model (TM), is equivalent to the system of two massless scalar bosons with a magnetic boundary interaction as introduced in Nucl. Phys. B443 (1995) 444, at the so called magic points. We are then able to describe, within such a framework, the dissipative quantum mechanics of a particle confined to a plane and subject to an external magnetic field normal to it. Such an analogy is further developed in terms of the TM boundary states, by describing the interaction between an impurity with a Hall system.

13 pages, no figures, Latex

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• Jain states on a torus: an unifying description
• Fully frustrated Josephson junction ladders with Mobius boundary conditions as topologically protected qubits
• Point-like topological defects in bilayer quantum Hall systems
• Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal
• Conformal symmetry in quasi-free Markovian open quantum systems
• Twisted Conformal Field Theories and Morita equivalence
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Paired quantum Hall states on noncommutative two-tori
• A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}
• Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori