Quantum action of the Josephson dynamics
arXiv:2509.00902 · doi:10.1007/s10773-025-06186-0
Abstract
We study the beyond-mean-field Josephson dynamics of the relative phase between two coupled macroscopic quantum systems. Using a covariant background field method, we derive the one-loop only-phase quantum effective action and the corresponding equation of motion for the quantum average of the phase. These analytical results are benchmarked against the exact quantum dynamics of the two-site Bose-Hubbard model, demonstrating a relevant improvement over the standard mean-field predictions across a wide range of interaction strengths.
18 pages, 4 figures
References in corpus (23)
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
- Coherent Oscillations in an Exciton-Polariton Josephson Junction
- Exact quantum dynamics of a bosonic Josephson junction
- Josephson effect in fermionic superfluids across the BEC-BCS crossover
- Quantum depletion of a homogeneous Bose-Einstein condensate
- Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction
- Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
- Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
- Symmetry Breaking and Self-trapping of a Dipolar Bose-Einstein Condensate in a Double-well Potential
- An ideal Josephson junction in an ultracold two-dimensional Fermi gas
- Josephson and Persistent Spin Currents in Bose-Einstein Condensates of Magnons
- Momentum-resolved observation of thermal and quantum depletion in an interacting Bose gas
- Sub-unity superfluid fraction of a supersolid from self-induced Josephson effect
- A dipolar self-induced bosonic Josephson junction
- Covariant Effective Action for Quantum Particle with Coordinate-Dependent Mass
- Self trapping of a dipolar Bose-Einstein condensate in a double well
- Observation of Momentum Space Josephson Effects
- Finite-size effects in a bosonic Josephson junction
- Josephson effect with superfluid fermions in the two-dimensional BCS-BEC crossover
- Self-sustained Josephson dynamics and self-trapping in supersolids
- Self-induced Josephson oscillations and self-trapping in a supersolid dipolar quantum gas
- Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions