List of publications

Preprints

1.  Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime (with  C. Caraci, D. Saint Aubin, and B. Schlein). Preprint at arXiv:2311.07433.

2.  Convergence of states for polaron models in the classical limit (with M. Falconi and N. Rougerie). Preprint at arXiv:2311.05940.

3.  Upper bound for the ground state energy of a dilute Bose gas of hard spheres (with G. Basti, S. Cenatiempo, A. Giuliani, G. Pasqualetti, and B. Schlein). Preprint at arXiv:2212.04431.

Peer-reviewed publications

1. A Second Order Upper Bound for the Ground State Energy of a Hard-Sphere Gas in the Gross–Pitaevskii Regime (with G. Basti, S. Cenatiempo, G. Pasqualetti, and B. Schlein). Communications in Mathematical Physics, 2023, 399(1), pp. 1–55. Preprint at arXiv:2203.11917.

2. Trial States for Bose Gases: Singular Scalings and Non-integrable Potentials. Springer INdAM Series, 2023, 58, pp. 353–374. Preprint at arXiv:2212.00144.

3. Bosons in a double well: two-mode approximation and fluctuations (with N. Rougerie and D. Spehner). Analysis and PDE, 2023, 16(8), pp. 1885–1954. Preprint at arXiv:2101.08690.

4. Reduced fluctuations for bosons in a double well. Journal of Mathematical Physics, 2022, 63(7), 071901. Preprint at arXiv:2203.00650.

5. Ground state energy of a Bose gas in the Gross-Pitaevskii regime (with G. Basti, S. Cenatiempo, G. Pasqualetti, and B. Schlein). Journal of Mathematical Physics, 2022, 63(4), 041101. Preprint at arXiv:2202.10270.

6. The Hartree functional in a double well (with N. Rougerie). Journal of Spectral Theory, 2021, 11(4), pp. 1727–1778. Preprint at arXiv:2004.14729.

7. On some rigorous aspects of fragmented condensation (with D. Dimonte and M. Falconi). Nonlinearity, 2020, 34(1), pp. 1–32. Preprint at arXiv:1809.03586.

8. Stability of the Laughlin Phase Against Long-Range Interactions (with N. Rougerie). Archive for Rational Mechanics and Analysis, 2020, 237(3), pp. 1475–1515. Preprint at arXiv:1906.05564.

9. Ground state energy of mixture of Bose gases (with A. Michelangeli and P. T. Nam). Reviews in Mathematical Physics, 2019, 31(2), 1950005. Preprint at arXiv:1803.05413.

10. Singular Hartree equation in fractional perturbed Sobolev spaces (with A. Michelangeli and R. Scandone). Journal of Nonlinear Mathematical Physics, 2018, 25(4), pp. 558–588. Preprint at arXiv:1711.04418.

11. Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate (with A. Michelangeli). Journal of Physics A: Mathematical and Theoretical, 2018, 51(40), 405201. Preprint at arXiv:1803.05410.

12. Mean-field quantum dynamics for a mixture of Bose–Einstein condensates (with A. Michelangeli). Analysis and Mathematical Physics, 2017, 7(4), pp. 377–416. Preptint at arXiv:1603.02435.

13. Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates (with A. Michelangeli). Journal of Nonlinear Mathematical Physics, 2017, 24(3), pp. 426–464. Preprint at arXiv:1704.00150.

14. Effective non-linear dynamics of binary condensates and open problems. Springer INdAM Series, 2017, 18, pp. 239–256. Preprint at arXiv:1702.04196.

15. Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian. Springer INdAM Series, 2017, 18, pp. 257–266. Preprint at arXiv:1709.04841.