Zobrazeno 1 - 10
of 327
pro vyhledávání: '"FALCONI MARCO"'
A spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter {\varepsilon} interpolating between quantum and classical reservoir features. We derive the explicit expression for the time-dependent reduced spin
Externí odkaz:
http://arxiv.org/abs/2408.02515
Autor:
Falconi, Marco, Fratini, Lorenzo
In this paper we study the semiclassical limit $\hslash\to 0$ of a completely solvable model in quantum field theory: the van Hove model, describing a scalar field created and annihilated by an immovable source. Despite its simplicity, the van Hove m
Externí odkaz:
http://arxiv.org/abs/2407.20603
We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by adding an attractive external potential decaying at infinity, acting
Externí odkaz:
http://arxiv.org/abs/2311.05940
We consider the time evolution of the renormalized Nelson model, which describes $N$ bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles $N\gg 1$ with coupling constant proportional to $N^{-1/2}$. First, we
Externí odkaz:
http://arxiv.org/abs/2305.06722
In this short note we study Spin-Boson Models from the Quasi-Classical standpoint. In the Quasi-Classical limit, the field becomes macroscopic while the particles it interacts with, they remain quantum. As a result, the field becomes a classical envi
Externí odkaz:
http://arxiv.org/abs/2209.06477
Autor:
Falconi, Marco, Leopold, Nikolai
We slightly extend prior results about the derivation of the Maxwell-Schr\"odinger equations from the bosonic Pauli-Fierz Hamiltonian. More concretely, we show that the findings from [SIAM J. Math. Anal. 52(5), 4900-4936 (2020)] about the coherence o
Externí odkaz:
http://arxiv.org/abs/2203.16368
The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr's correspondence principle of quantum mecha
Externí odkaz:
http://arxiv.org/abs/2202.05015
In this article, we study the asymptotic fields of the Yukawa particle-field model of quantum physics, in the semiclassical regime $\hslash\to 0$, with an interaction subject to an ultraviolet cutoff. We show that the transition amplitudes between fi
Externí odkaz:
http://arxiv.org/abs/2111.03352
We study the time evolution of the Nelson model in a mean-field limit in which N non-relativistic bosons weakly couple (w.r.t. the particle number) to a positive or zero mass quantized scalar field. Our main result is the derivation of the Bogoliubov
Externí odkaz:
http://arxiv.org/abs/2110.00458
Publikováno v:
Analysis & PDE 16 (2023) 1745-1798
We study the ground state energy and ground states of systems coupling non-relativistic quantum particles and force-carrying Bose fields, such as radiation, in the quasi-classical approximation. The latter is very useful whenever the force-carrying f
Externí odkaz:
http://arxiv.org/abs/2007.09442