Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Ligabô AN"'
We investigate quantum symmetries in terms of their large-time stability with respect to perturbations of the Hamiltonian. We find a complete algebraic characterization of the set of symmetries robust against a single perturbation and we use such res
Externí odkaz:
http://arxiv.org/abs/2411.18529
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 57, 425304 (2024)
We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions that make the kinetic-energy operator selfadjoint. We determine the Wigner functions of the corresponding eigenfunctions and analyze in det
Externí odkaz:
http://arxiv.org/abs/2404.17430
For quantum observables $H$ truncated on the range of orthogonal projections $\Pi_N$ of rank $N$, we study the corresponding Weyl symbol in the phase space in the semiclassical limit of vanishing Planck constant $\hbar\to0$ and large quantum number $
Externí odkaz:
http://arxiv.org/abs/2404.15863
Publikováno v:
Letters in Mathematical Physics 113, 114 (2023)
Motivated by a quantum Zeno dynamics in a cavity quantum electrodynamics setting, we study the asymptotics of a family of symbols corresponding to a truncated momentum operator, in the semiclassical limit of vanishing Planck constant $\hbar\to0$ and
Externí odkaz:
http://arxiv.org/abs/2302.02673
Publikováno v:
Random Matrices: Theory and Applications Vol. 12, No. 04, 2350009 (2023)
We consider the singular values of certain Young diagram shaped random matrices. For block-shaped random matrices, the empirical distribution of the squares of the singular eigenvalues converges almost surely to a distribution whose moments are a gen
Externí odkaz:
http://arxiv.org/abs/2301.13555
Publikováno v:
Quantum 8, 1262 (2024)
The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we can now achi
Externí odkaz:
http://arxiv.org/abs/2301.02269
Autor:
Facchi, Paolo, Ligabò, Marilena
Publikováno v:
Journal of Mathematical Physics 65, 032102 (2024)
We consider a self-adjoint operator $T$ on a separable Hilbert space, with pure-point and simple spectrum with accumulations at finite points. Explicit conditions are stated on the eigenvalues of $T$ and on the bounded perturbation $V$ ensuring the g
Externí odkaz:
http://arxiv.org/abs/2211.05670
Publikováno v:
Phys. Rev. A 103, 012203 (2021)
We show that non-Markovian open quantum systems can exhibit exact Markovian dynamics up to an arbitrarily long time; the non-Markovianity of such systems is thus perfectly "hidden", i.e. not experimentally detectable by looking at the reduced dynamic
Externí odkaz:
http://arxiv.org/abs/2009.10605
Publikováno v:
J. Math. Phys. 62, 032102 (2021)
We show that the Friedrichs-Lee model, which describes the one-excitation sector of a two-level atom interacting with a structured boson field, can be generalized to singular atom-field couplings. We provide a characterisation of its spectrum and res
Externí odkaz:
http://arxiv.org/abs/1910.05957
Autor:
Ligabo, Mateus, Silva, Fabiana Carvalho, Carvalho, Ana Carolina da S.A., Rodrigues, Durval, Jr., Rodrigues, Rita C.L.B.
Publikováno v:
In Evaluation and Program Planning February 2023 96