Journal
ENTROPY
Volume 22, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/e22040382
Keywords
Bosonic systems; ultracold atomic gases; tunneling and Josephson effect; Bose-Einstein condensates in periodic potentials
Categories
Funding
- EU collaborative Project QuProCS [641277]
- state of Baden-Wurttemberg through bwHPC (NEMO cluster)
- Swiss National Science Foundation (SNSF)
- NCCR Quantum Science and Technology
- Alexander von Humboldt-Foundation
- CONACyT postdoctoral fellowship program
- Austrian Science Foundation (FWF) [P32033]
- state of Baden-Wurttemberg through bwHPC (JUSTUS cluster)
- Austrian Science Fund (FWF) [P32033] Funding Source: Austrian Science Fund (FWF)
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We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By exact diagonalization of the many-particle Hamiltonian, we specifically explore the dynamical behavior of the particles launched either at the single-particle ground state or saddle-point energy, in a time-independent potential. We complement these results by a characterization of the cross-over from diabatic to quasi-adiabatic evolution under finite-time switching of the potential barrier, via the associated time evolution of a single particle's von Neumann entropy. This is achieved with the help of the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X)-which also allows us to extrapolate our results for increasing particle numbers.
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