Dissipation and fluctuations in elongated bosonic Josephson junctions

Abstract

We investigate the dynamics of bosonic atoms in elongated Josephson junctions. We find that these systems are characterized by an intrinsic coupling between the Josephson mode of macroscopic quantum tunneling and the sound modes. This coupling of Josephson and sound modes gives rise to a damped and stochastic Langevin dynamics for the Josephson degree of freedom. From a microscopic Lagrangian, we deduce and investigate the damping coefficient and the stochastic noise, which includes thermal and quantum fluctuations. Finally, we study the time evolution of relative-phase and population-imbalance fluctuations of the Josephson mode and their oscillating thermalization to equilibrium.

arXiv comment9 pages, 5 figures, improved version with more detailed explanations, to be published in Phys. Rev. A

References in corpus (10)

• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Quantum critical states and phase transitions in the presence of non equilibrium noise
• Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
• A unified framework for the Kondo problem and for an impurity in a Luttinger liquid
• Damping of Josephson oscillations in strongly correlated one-dimensional atomic gases
• Modulational instabilities in Josephson oscillations of elongated coupled condensates
• On the low-energy description for tunnel-coupled one-dimensional Bose gases
• Coherence and Josephson oscillations between two tunnel-coupled one-dimensional atomic quasicondensates at finite temperature
• Dephasing-rephasing dynamics of one-dimensional tunneling quasicondensates

Cited by in corpus (8)

• Atomtronic circuits: from many-body physics to quantum technologies
• Perspective on new implementations of atomtronic circuits
• Shapiro steps in strongly-interacting Fermi gases
• Quantum and thermal fluctuations in the dynamics of a resistively and capacitively shunted Josephson junction
• Superfluid properties of bright solitons in a ring
• Phase diffusion and fluctuations in a dissipative Bose-Josephson junction
• Fokker-Planck equations for a trapped particle in a quantum-thermal Ohmic bath: general theory and applications to Josephson junctions
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction