@article{10755,
  abstract     = {We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423).},
  author       = {Feliciangeli, Dario and Rademacher, Simone Anna Elvira and Seiringer, Robert},
  issn         = {1751-8121},
  journal      = {Journal of Physics A: Mathematical and Theoretical},
  number       = {1},
  publisher    = {IOP Publishing},
  title        = {{The effective mass problem for the Landau-Pekar equations}},
  doi          = {10.1088/1751-8121/ac3947},
  volume       = {55},
  year         = {2022},
}

@article{11917,
  abstract     = {We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order.},
  author       = {Rademacher, Simone Anna Elvira and Seiringer, Robert},
  issn         = {1572-9613},
  journal      = {Journal of Statistical Physics},
  keywords     = {Mathematical Physics, Statistical and Nonlinear Physics},
  publisher    = {Springer Nature},
  title        = {{Large deviation estimates for weakly interacting bosons}},
  doi          = {10.1007/s10955-022-02940-4},
  volume       = {188},
  year         = {2022},
}

@article{12083,
  abstract     = {We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem.},
  author       = {Rademacher, Simone Anna Elvira},
  issn         = {0022-2488},
  journal      = {Journal of Mathematical Physics},
  number       = {8},
  publisher    = {AIP Publishing},
  title        = {{Dependent random variables in quantum dynamics}},
  doi          = {10.1063/5.0086712},
  volume       = {63},
  year         = {2022},
}

@article{10738,
  abstract     = {We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2.},
  author       = {Leopold, Nikolai K and Rademacher, Simone Anna Elvira and Schlein, Benjamin and Seiringer, Robert},
  issn         = {1948-206X},
  journal      = {Analysis and PDE},
  number       = {7},
  pages        = {2079--2100},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{ The Landau–Pekar equations: Adiabatic theorem and accuracy}},
  doi          = {10.2140/APDE.2021.14.2079},
  volume       = {14},
  year         = {2021},
}

@article{14889,
  abstract     = {We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2.},
  author       = {Leopold, Nikolai K and Mitrouskas, David Johannes and Rademacher, Simone Anna Elvira and Schlein, Benjamin and Seiringer, Robert},
  issn         = {2578-5885},
  journal      = {Pure and Applied Analysis},
  number       = {4},
  pages        = {653--676},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron}},
  doi          = {10.2140/paa.2021.3.653},
  volume       = {3},
  year         = {2021},
}

@article{9225,
  abstract     = {The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.
Here, we provide a class of initial data for which the associated effective Hamiltonian
has a uniform spectral gap for all times. For such initial data, this allows us to extend the
results on the adiabatic theorem for the Landau–Pekar equations and their derivation
from the Fröhlich model obtained in previous works to larger times.},
  author       = {Feliciangeli, Dario and Rademacher, Simone Anna Elvira and Seiringer, Robert},
  issn         = {15730530},
  journal      = {Letters in Mathematical Physics},
  publisher    = {Springer Nature},
  title        = {{Persistence of the spectral gap for the Landau–Pekar equations}},
  doi          = {10.1007/s11005-020-01350-5},
  volume       = {111},
  year         = {2021},
}

@article{9351,
  abstract     = {We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. },
  author       = {Kirkpatrick, Kay and Rademacher, Simone Anna Elvira and Schlein, Benjamin},
  issn         = {1424-0637},
  journal      = {Annales Henri Poincare},
  pages        = {2595--2618},
  publisher    = {Springer Nature},
  title        = {{A large deviation principle in many-body quantum dynamics}},
  doi          = {10.1007/s00023-021-01044-1},
  volume       = {22},
  year         = {2021},
}

@unpublished{9791,
  abstract     = {We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar.},
  author       = {Feliciangeli, Dario and Rademacher, Simone Anna Elvira and Seiringer, Robert},
  booktitle    = {arXiv},
  title        = {{The effective mass problem for the Landau-Pekar equations}},
  year         = {2021},
}

@article{7611,
  abstract     = {We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem.},
  author       = {Rademacher, Simone Anna Elvira},
  issn         = {1573-0530},
  journal      = {Letters in Mathematical Physics},
  pages        = {2143--2174},
  publisher    = {Springer Nature},
  title        = {{Central limit theorem for Bose gases interacting through singular potentials}},
  doi          = {10.1007/s11005-020-01286-w},
  volume       = {110},
  year         = {2020},
}