Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model
arXiv:1607.06223 · doi:10.1103/PhysRevA.94.033605
Abstract
The use of an electron beam to remove ultracold atoms from selected sites in an optical lattice has opened up new opportunities to study transport in quantum systems [R. Labouvie {\it et al.\ }, Phys.\ Rev.\ Lett.\ {\bf 115}, 050601 (2015)]. Inspired by this experimental result, we examine the effects of number difference, dephasing, and initial quantum statistics on the filling of an initially depleted middle well in the three-well inline Bose-Hubbard model. We find that the well-known phenomenon of macroscopic self-trapping is the main contributor to oscillatory negative differential conductivity in our model, with phase diffusion being a secondary effect. However, we find that phase diffusion is required for the production of direct atomic current, with the coherent process showing damped oscillatory currents. We also find that our results are highly dependent on the initial quantum states of the atoms in the system.
9 figures, 6 pages
References in corpus (23)
- Feshbach Resonances in Ultracold Gases
- Cold bosonic atoms in optical lattices
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Resonant tunnelling and negative differential conductance in graphene transistors
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Dynamical quantum noise in Bose-Einstein condensates
- Negative Differential Conductance and Hot Phonons in Suspended Nanotube Molecular Wires
- Large tunable image-charge effects in single-molecule junctions
- XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
- Entanglement of two-mode Bose-Einstein condensates
- Negative differential conductivity in an interacting quantum gas
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Numerical representation of quantum states in the positive-P and Wigner representations
- The Dissipative Bose-Hubbard Model. Methods and Examples
- Quantum dynamics of attractive versus repulsive bosonic Josephson junctions: Bose-Hubbard and full-Hamiltonian results
- Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
- Non-equilibrium dynamics in dissipative Bose-Hubbard chains
- Quantum dynamics of a four-well Bose-Hubbard model with two different tunneling rates
- Quantum phase-space analysis of population equilibration in multi-well ultracold atomic systems
- Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates
- Dynamics of the central-depleted-well regime in the open Bose-Hubbard trimer
- Beyond mean-field behavior of large Bose-Einstein condensates in double-well potentials
- Entanglement via a three-well Bose-Hubbard system and via an optical beamsplitter
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