Publication: Bosons in a double well: two-mode approximation and fluctuations
Bosons in a double well: two-mode approximation and fluctuations
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Olgiati, A., Rougerie, N., & Spehner, D. (2023). Bosons in a double well: two-mode approximation and fluctuations. Analysis & PDE, 16(8), 1885–1954. https://doi.org/10.2140/apde.2023.16.1885
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Abstract
We study the ground state for many interacting bosons in a double-well potential, in a joint limit where the particle number and the distance between the potential wells both go to infinity. Two single-particle orbitals (one for each well) are macroscopically occupied, and we are concerned with deriving the corresponding effective Bose-Hubbard Hamiltonian. We prove an energy expansion, including the two-mode Bose-Hubbard energy and two independent Bogoliubov corrections (one for each potential well), and a variance bound for the numbe
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- Olgiati, Alessandro
- Rougerie, Nicolas
- Spehner, Dominique
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Olgiati, A., Rougerie, N., & Spehner, D. (2023). Bosons in a double well: two-mode approximation and fluctuations. Analysis & PDE, 16(8), 1885–1954. https://doi.org/10.2140/apde.2023.16.1885
