Tunneling Hamiltonian analysis of DC Josephson currents in a weakly-interacting Bose-Einstein condensate
arXiv:2106.12750 · doi:10.1103/PhysRevResearch.3.043058
Abstract
Atomtronics experiments with ultracold atomic gases allow us to explore quantum transport phenomena of a weakly-interacting Bose-Einstein condensate (BEC). Here, we focus on two-terminal transport of such a BEC in the vicinity of zero temperature. By using the tunnel Hamiltonian and Bogoliubov theory, we obtain a DC Josephson current expression in the BEC and apply it to experimentally relevant situations such as quantum point contact and planar junction. Due to the absence of Andreev bound states but the presence of couplings associated with condensation elements, a current-phase relation in the BEC is found to be different from one in an s-wave superconductor. In addition, it turns out that the DC Josephson current in the BEC depends on the sign of tunneling elements, which allows to realize the so-called junction by using techniques of artificial gauge fields.
arXiv comment15 pages, 2 figures
References in corpus (38)
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Superconducting Qubits: Current State of Play
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Hamiltonian approach to the transport properties of superconducting quantum point contacts
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Josephson and Andreev transport through quantum dots
- Artificial gauge fields in materials and engineered systems
- Josephson effect in fermionic superfluids across the BEC-BCS crossover
- Two-terminal transport measurements with cold atoms
- Dynamics of a tunable superfluid junction
- Non-Abelian Josephson effect between two spinor Bose-Einstein condensates in double optical traps
- Connecting strongly correlated superfluids by a quantum point contact
- Resistive flow in a weakly interacting Bose-Einstein condensate
- Josephson tunneling between weakly interacting Bose-Einstein condensates
- Strongly correlated superfluid order parameters from dc Josephson supercurrents
- An ideal Josephson junction in an ultracold two-dimensional Fermi gas
- Josephson and Persistent Spin Currents in Bose-Einstein Condensates of Magnons
- Self-Consistent Theory of Superconducting Mesoscopic Weak Links
- The Josephson effect throughout the BCS-BEC crossover
- DC Josephson Effect with Fermi gases in the Bose-Einstein regime
- Tunneling transport of unitary fermions across the superfluid transition
- Critical transport and vortex dynamics in a thin atomic Josephson junction
- Contact resistance and phase slips in mesoscopic superfluid atom transport
- Tunneling conductance and local density of states in tight-binding junctions
- Current-Phase Relation of a Bose-Einstein Condensate Flowing Through a Weak Link
- Quantitative acoustic models for superfluid circuits
- Critical Josephson current in BCS-BEC crossover superfluids
- Anomalous Transport in the Superfluid Fluctuation Regime
- Josephson junction dynamics in a two-dimensional ultracold Bose gas
- Mesoscopic spin transport between strongly interacting Fermi gases
- Controlled Transport between Fermi Superfluids Through a Quantum Point Contact
- Bosonic superfluid transport in a quantum point contact
- Superconducting Quantum Point Contacts
- Role of Nambu-Goldstone modes in the fermionic superfluid point contact
- Giant Enhancement of the Thermo-Particle Transport Figure of Merit and Breakdown of the Wiedemann-Franz Law in Unitary Fermi Gases
- Supercurrent and noise in point contact between two different superconductors
- Coherent and dissipative transport in a Josephson junction between fermionic superfluids of Li atoms