Quantum fluctuations in atomic Josephson junctions: the role of dimensionality

Abstract

We investigate the role of quantum fluctuations in the dynamics of a bosonic Josephson junction in $D$ spatial dimensions, by using beyond mean-field Gaussian corrections. We derive some key dynamical properties in a systematic way for $D=3,2,1$. In particular, we compute the Josephson frequency in the regime of low population imbalance. We also obtain the critical strength of the macroscopic quantum self-trapping. Our results show that quantum corrections increase the Josephson frequency in spatial dimensions $D=2$ and $D=3$, but they decrease it in the $D=1$ case. The critical strength of macroscopic quantum self-trapping is instead reduced by quantum fluctuations in $D=2$ and $D=3$ cases, while it is enhanced in the $D=1$ configuration. We show that the difference between the cases of D = 2 and D = 3 on one side, and D = 1 on the other, can be related to the qualitatively different dependence of the interaction strength on the scattering length in the different dimensions.

arXiv comment25 pages, 9 figures, 2 tables

References in corpus (27)

• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Josephson Junction Arrays with Bose-Einstein Condensates
• Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
• Josephson effect in fermionic superfluids across the BEC-BCS crossover
• Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
• Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
• 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
• Zero-point energy of ultracold atoms
• The Josephson effect throughout the BCS-BEC crossover
• Observation of Spin Superfluidity in a Bose Gas Mixture
• Tunneling transport of unitary fermions across the superfluid transition
• Damping of Josephson oscillations in strongly correlated one-dimensional atomic gases
• Quantum Computing with Atomic Josephson Junction Arrays
• Critical Josephson current in BCS-BEC crossover superfluids
• Josephson junction dynamics in a two-dimensional ultracold Bose gas
• Floquet engineering a bosonic Josephson junction
• Manipulation of an elongated internal Josephson junction of bosonic atoms
• Dynamical Phase Diagram of Ultracold Josephson Junctions
• Dissipation Mechanisms in Fermionic Josephson Junction
• Finite-size effects in a bosonic Josephson junction
• Josephson effect at finite temperature along the BCS-BEC crossover
• Collective excitations and tunneling dynamics in long bosonic Josephson junctions
• Dynamical phase diagram of a one dimensional Bose gas in a box with a tunable weak-link: from Bose-Josephson oscillations to shock waves
• On-shell approximation for the s-wave scattering theory

Cited by in corpus (3)

• Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction
• Low-energy atomic scattering: s-wave relation between the interaction potential and the phase shift