title: Single-Photon-Resolved Cross-Kerr Interaction for Autonomous Stabilization of Photon-Number States.
abstract: Quantum states can be stabilized in the presence of intrinsic and environmental losses by either applying an active feedback condition on an ancillary system or through reservoir engineering. Reservoir engineering maintains a desired quantum state through a combination of drives and designed entropy evacuation. We propose and implement a quantum-reservoir engineering protocol that stabilizes Fock states in a microwave cavity. This protocol is realized with a circuit quantum electrodynamics platform where a Josephson junction provides direct, nonlinear coupling between two superconducting waveguide cavities. The nonlinear coupling results in a single-photon-resolved cross-Kerr effect between the two cavities enabling a photon-number-dependent coupling to a lossy environment. The quantum state of the microwave cavity is discussed in terms of a net polarization and is analyzed by a measurement of its steady state Wigner function.
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: E T
authors.initials: ET
authors.lastname: Holland
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: B
authors.initials: B
authors.lastname: Vlastakis
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: R W
authors.initials: RW
authors.lastname: Heeres
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: M J
authors.initials: MJ
authors.lastname: Reagor
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: U
authors.initials: U
authors.lastname: Vool
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: Z
authors.initials: Z
authors.lastname: Leghtas
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: L
authors.initials: L
authors.lastname: Frunzio
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.|Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria.|Institute for Experimental Physics, University of Innsbruck, A-6020 Innsbruck, Austria.
authors.forename: G
authors.initials: G
authors.lastname: Kirchmair
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: M H
authors.initials: MH
authors.lastname: Devoret
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.|INRIA Paris-Rocquencourt, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France.
authors.forename: M
authors.initials: M
authors.lastname: Mirrahimi
authors.affiliation: Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: R J
authors.initials: RJ
authors.lastname: Schoelkopf