Input-output theory for fermions in an atom cavity

Abstract

We generalize the quantum optical input-output theory developed for optical cavities to ultracold fermionic atoms confined in a trapping potential, which forms an "atom cavity". In order to account for the Pauli exclusion principle, quantum Langevin equations for all cavity modes are derived. The dissipative part of these multi-mode Langevin equations includes a coupling between cavity modes. We also derive a set of boundary conditions for the Fermi field that relate the output fields to the input fields and the field radiated by the cavity. Starting from a constant uniform current of fermions incident on one side of the cavity, we use the boundary conditions to calculate the occupation numbers and current density for the fermions that are reflected and transmitted by the cavity.

References in corpus (3)

• Prospect of creating a composite fermi/bose superfluid
• Measuring the temporal coherence of an atom laser beam
• Reducing the linewidth of an atom laser by feedback

Cited by in corpus (11)

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• Input and output in damped quantum systems III: Formulation of damped systems driven by Fermion fields
• Generalized input-output method: A new route to quantum transport junctions
• A Molecular Micromaser
• How to describe collective decay of uncoupled modes in the input-output formalism
• Quantum optics of ultra-cold molecules
• Theory of output coupling for trapped fermionic atoms