Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Beau, Mathieu"'
Using standard results from statistics, we show that for any continuous quantum system (Gaussian or otherwise) and any observable $A$ (position or otherwise), the distribution $ \pi _{a}\left(t\right) $ of a time measurement at a fixed state $a$ can
Externí odkaz:
http://arxiv.org/abs/2405.02018
Autor:
Beau, Mathieu, Martellini, Lionel
The uncertainty principle is one of the characteristic properties of quantum theory, where it signals the incompatibility of two types of measurements. In this paper, we argue that measurements of time-of-arrival $T_x$ at position $x$ and position $X
Externí odkaz:
http://arxiv.org/abs/2403.06057
Publikováno v:
Phys. Rev. A 108, 062201 (2023)
The complex Fourier transform of the two-point correlator of the energy spectrum of a quantum system is known as the spectral form factor (SFF). It constitutes an essential diagnostic tool for phases of matter and quantum chaos. In black hole physics
Externí odkaz:
http://arxiv.org/abs/2307.04791
Publikováno v:
Phys. Rev. Lett. 131, 230401 (2023)
The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number near equil
Externí odkaz:
http://arxiv.org/abs/2307.02524
Autor:
Beau, Mathieu, Martellini, Lionel
Publikováno v:
Phys. Rev. A 109, 012216 (2024)
Using standard results from statistics, we show that for Gaussian quantum systems the distribution of a time measurement at a fixed position can be directly inferred from the distribution of a position measurement at a fixed time as given by the Born
Externí odkaz:
http://arxiv.org/abs/2306.02141
Autor:
Beau, Mathieu, del Campo, Adolfo
Publikováno v:
SciPost Phys. Core 4, 030 (2021)
We find the complete family of many-body quantum Hamiltonians with ground-state of Jastrow form involving the pairwise product of a pair function in an arbitrary spatial dimension. The parent Hamiltonian generally includes a two-body pairwise potenti
Externí odkaz:
http://arxiv.org/abs/2107.02869
Autor:
Beau, Mathieu, del Campo, Adolfo
Publikováno v:
Entropy 22, 515 (2020)
We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms of the init
Externí odkaz:
http://arxiv.org/abs/2004.04576
Autor:
Beau, Mathieu R.
In this article, we investigate the mechanism of cosmological expansion and inflation by modeling dark energy as a four-dimensional continuous medium, with its elastic deformation described by a four-dimensional vector field. We demonstrate that when
Externí odkaz:
http://arxiv.org/abs/1805.03020
Autor:
Beau, Mathieu, del Campo, Adolfo
Publikováno v:
Phys. Rev. Lett. 119, 010403 (2017)
We introduce general bounds for the parameter estimation error in nonlinear quantum metrology of many-body open systems in the Markovian limit. Given a $k$-body Hamiltonian and $p$-body Lindblad operators, the estimation error of a Hamitonian paramet
Externí odkaz:
http://arxiv.org/abs/1612.05237
Publikováno v:
Phys. Rev. Lett. 118, 140403 (2017)
We introduce a scheme for the quantum simulation of many-body decoherence based on the unitary evolution of a stochastic Hamiltonian. Modulating the strength of the interactions with stochastic processes, we show that the noise-averaged density matri
Externí odkaz:
http://arxiv.org/abs/1608.01317