A single fermion in a Bose Josephson Junction

Abstract

We consider the tunneling properties of a single fermionic impurity immersed in a Bose-Einstein condensate in a double-well potential. For strong boson-fermion interaction, we show the existence of a tunnel resonance where a large number of bosons and the fermion tunnel simultaneously. We give analytical expressions for the lineshape of the resonance using degenerate Brillouin-Wigner theory. We finally compute the time-dependent dynamics of the mixture. Using the fermionic tunnel resonances as beam splitter for wave-functions, we construct a Mach-Zehnder interferometer that allows complete population transfer from one well to the other by tilting the double-well potential and only taking into account the fermion's tunnel properties.

References in corpus (9)

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Cited by in corpus (13)

• Impurity in a bosonic Josephson junction: swallowtail loops, chaos, self-trapping and the poor man's Dicke model
• Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and Entanglement
• Impurity in a Bose-Einstein condensate in a double well
• Mean-Field Analysis of Spinor Bosons in Optical Superlattices
• Tunneling dynamics of bosonic Josephson junctions assisted by a cavity field
• Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
• Measuring out-of-time-ordered correlation functions with a single impurity qubit in a bosonic Josephson junction
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
• Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices
• Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well
• Topologically protected Bell-cat states in a simple spin model
• Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well
• False signals of chaos from quantum probes